Author Archives: L. Y. Tsang

Against the 1979 Edit to the Prayer of Humble Access

Recently, a friend asked me my opinion on The Episcopal Church’s 1979 Rite 1 edit to the Prayer of Humble Access in the Book of Common Prayer.

The edit

The original says, in the Prayer Books of 1552, 1559, and 1662 (and in America, 1789, 1892, and 1928),

We do not presume to come to this thy Table, O merciful Lord, trusting in our own righteousness, but in thy manifold and great mercies. We are not worthy so much as to gather up the crumbs under thy Table. But thou art the same Lord, whose property is always to have mercy: Grant us therefore, gracious Lord, so to eat the flesh of thy dear Son Jesus Christ, and to drink his blood, that our sinful bodies may be made clean by his body, and our souls washed through his most precious blood, and that we may evermore dwell in him, and he in us. Amen.

The 1979 edit omits the purpose clause that says, ‘that our sinful bodies may be made clean by his body, and our souls washed through his most precious blood’.

The friend’s opinion

To my friend, someone who loved the original version, the 1979 edit made quite a bit of sense. The original Prayer of Humble Access, he thought, could easily be ‘misunderstood’ to mean that the body and blood of Christ had different effects from each other: thus, he said, the prayer would give the impression that the bread/body redeemed our bodies and the wine/blood cleansed our souls, when in reality both elements did both things.

My own judgement

On the omission of the clause ‘that our sinful bodies may be made clean by his body, and our souls washed through his most precious blood’, my judgement was completely different.

First, we Anglicans haven’t the notion that one or the other is sufficient. Jesus said eat and drink, not eat or drink. It seems to be that the authors, in the wording of the Prayer of Humble Access, intentionally distinguished the effect of the body and effect of the blood. The two elements’ effects they did not distinguish strictly, but rhetorically. The authors did not deny absolutely that the bread and the wine could be interchangeable (or, in the language of Rome, concomitant), but they did more than merely refer to God’s command to take both bread and wine: going further, they distinguished the effects of bread and wine rhetorically, to connect body with body and blood with blood, the body of Christ with the body of man, and the blood of Christ with the soul of man. The body of Christ is a human body, and the blood is the symbol of the soul (‘but flesh with the life thereof, which is the blood thereof, shall ye not eat’, Genesis 9.4), and thus the joining of body with body and blood with blood would be the believer’s union with Christ in both body and soul. Thus, distinguishing in words between the effects of the bread and those of the wine encourages people to receive communion in both kinds (i.e., both bread and wine); and not only so, but it implies a theological basis for doing so, a basis more intelligible to us, and apter to help us know God, than simply ‘Jesus said so’.

Second, the effect of the clause’s 1979 omission has been to weaken the worshipper’s sense of original and actual sin’s effects on both body and soul, and that weakening (not all caused by the change in the Prayer of Humble Access, of course) has been devastating in the last 50 years. We need all the help we can get in strengthening the Church’s confession that sin pollutes both our bodies and our souls, and that Christ cleanses both. In terms of our standing before God, he does so through our faith in his promises (without needing to count any good deeds on our part), so that the full promise of the Last Day is ours in potentiality; in terms of our character and knowledge of God, so that we bear God’s image in full, he does so by increasingly filling us with us his own perfect character as we struggle to live as Christians and fight against sin. To omit a clause on how Christ makes our sinful bodies clean by his body, and washes our souls through his most precious blood, is to aid the neglect of this saving doctrine.

Third, the Church very much needs an emphasis on the sacramental salvation of the body, as against visions of salvation that concern only the naked soul and are curtailed, cut off, to leave only a justification that happens in a moment. Rather than being content with such a mutilated salvation, we need to bear the crucifixion of Christ in our bodies, as St Paul did (Galatians 6.17; Philippians 1.20; 3.17–21; Colossians 1.24), identifying in our very bodies with the body of the Christ who was crucified for our sins and raised on the third day to bring us to peace with God and the full measure of what God intended for man created in his image. This salvation of our body and all its works, this participation in Christ, happens through the sacraments. The two sacraments of Holy Baptism and Holy Communion are God’s visible word to us, that we may take his offer of salvation for ourselves and make it our own continually. To cease to mention the cleansing of our human body by the body of Christ, then, would be to refuse a great help to a full understanding of what God in Christ is doing in our bodies by his Holy Spirit.

For these reasons, I think we would gain nothing from allowing that this clause be omitted, and we should give thanks that it remains in many places and in other places (such as those that have switched from the 1979 to the 2019 ACNA Prayer Book) has been restored, that the Lord’s people may better partake of his gifts and thereby know him in body and soul.

Immigration, Citizenship, and the Law of Moses’s Discrimination Among Nations

Deuteronomy 23 discriminates among several nations and their relation to the congregation of Israel and its covenant:

He that is wounded in the stones, or hath his privy member cut off, shall not enter into the congregation of the Lord. A bastard shall not enter into the congregation of the Lord; even to his tenth generation shall he not enter into the congregation of the Lord.

An Ammonite or Moabite shall not enter into the congregation of the Lord; even to their tenth generation shall they not enter into the congregation of the Lord for ever: because they met you not with bread and with water in the way, when ye came forth out of Egypt; and because they hired against thee Balaam the son of Beor of Pethor of Mesopotamia, to curse thee. Nevertheless the Lord thy God would not hearken unto Balaam; but the Lord thy God turned the curse into a blessing unto thee, because the Lord thy God loved thee. Thou shalt not seek their peace nor their prosperity all thy days for ever.

Thou shalt not abhor an Edomite; for he is thy brother: thou shalt not abhor an Egyptian; because thou wast a stranger in his land. The children that are begotten of them shall enter into the congregation of the Lord in their third generation.

Draw your conclusions from this example from the word of God, concerning what laws are lawful according to nature.

Ancestral Religion v. Marketplace of Ideas

On the one hand, some people wanting a religion to practise (or else just affiliate with) go with what their ancestors have done; on the other hand, some go with what appeals to them, with no regard for historical connexion. Many Christians today are likely to think the latter is better, but I disagree. It’s natural to start with the deity worshipped by your ancestors and try to understand that thoroughly first. I have less respect for people who judge all religions on an æqual footing, trying to choose as if religious belief is a ‘marketplace of ideas’. After all, the instinct that your ancestors were probably right about something in religion is a pious one. It’s just that, when the word of God himself comes to you, you must kowtow, because he is the God who made and sustains this whole world, not a god of some but the one God.

This is true even of someone from an Islamic or Hindu or Sikh background: rather than treating all religions as æqual and starting from nowhere, he must start from somewhere, and humanly that somewhere is whatever religious tradition his family and his nation already have. When the ray of God’s word pierces into the darkness, then either he will love the light and discard what’s wrong in his religious tradition, or he will hate the light and set himself against the gospel, to his own destruction. But a person purporting to judge religions out of nowhere, even if he does outwardly become a Christian, will have much difficulty in the Christian life because of his impiety toward his parents and his forefathers. Indeed, such a convert may make shipwreck of his faith and show himself to be reprobate and destined for hellfire. But if God has chosen him to be saved, the word of God is enough, and encouraging him to pose in a false neutrality will tend toward impiety rather than genuine faith in Jesus Christ.

Oratorio Idea: Josiah

I’m imagining an oratorio, Josiah, King of the Jews, the titular character being voiced by a countertenor – in my dreams, someone like Jakub Józef Orliński or Iestyn Davies – and the plot centred around the discovery of the long-lost book of Deuteronomy in the temple of the LORD. The oratorio is set in the 18th year of Josiah’s reign, in the waning years of the Assyrian empire, while Josiah energetically leads a national revival, breaking idols throughout the land and restoring the temple of the LORD.

Act 1 opens with Josiah troubled at the prophet and royal kinsman Zephaniah’s words about the day of the LORD in the midst of Judah’s national revival and overlord Assyria’s decline.

In Act 2, while the temple is being repaired upon Josiah’s orders, the young priest and prophet Jeremiah appears at the temple gates; upon those who have ‘healed’ the hurt of the people by putting their confidence in ‘the temple of the LORD, the temple of the LORD, the temple of the LORD’, he pronounces certain doom. The people and Josiah are perplexed and displeased with Jeremiah’s words, but the oldest councillor remembers his father’s account of how Josiah’s great-grandfather Hezekiah broke the brazen serpent that Moses had made.

In Act 3, the book of the law of the LORD (viz., Deuteronomy) is found in the temple. Josiah tears his clothes and weeps when he hears the word of the LORD, and sends for the prophetess Huldah.

In Act 4, word returns from Huldah, saying that the LORD will surely bring evil upon Jerusalem and its inhabitants thereof, even all the curses that are written in the book which they have read before the king of Judah, because the people have forsaken the LORD; yet, on account of Josiah’s tender heart before the LORD, this evil will not come upon David’s house within Josiah’s reign. Josiah, relieved at the LORD’s kindness but sobered by the calamity that will befall Jerusalem after his time, prays that a future Anointed of the LORD may reverse the fortunes of the house of David according to what is written in the book of the law.

In Act 5, the people observe the Passover exactly 100 years after Josiah’s great-grandfather Hezekiah’s revival of the Passover, and slaughter the Paschal lamb for sacrifice with great rejoicing.

Sing ‘America the Beautiful’ in Church? Don’t Complain About Marian Songs

If your church is going to sing ‘America the Beautiful’ during worship, praising America and expressing a wish for a generic ‘God’ to bless that nation,

then don’t complain when other Christians sing theologically sound songs during worship that praise Mary the Mother of God for the part she had in bringing God’s salvation into the world through her womb:

By all means sing ‘America the Beautiful’ after church, but unlike the excellent British song ‘I Vow to Thee, My Country’ it does not have specifically Christian content that makes it suitable for Christian worship. I would be the last to discourage patriotic sentiment, but ‘America the Beautiful’ does not belong in the Lord’s sanctuary.

On this Lord’s Day and on every day when we worship the Lord, may the purity of the Lord’s sanctuary be kept, to the praise and glory of his holy Name.

Insincere Race-baiting Advertising

This video, which I came across as an advert on YouTube, is so lame but takes itself so seriously:

In solemn tones, it speaks of stopping hatred against Asians in America. Colour me unconvinced.

Mistreatment and violence against Asians has gone on for decades, whether from White Americans or from Black Americans. Culturally, however, feeling bad for Asians is a conveniently recent phænomenon. I don’t trust it one bit.

Announcements from the Pulpit: An Anglican Example

Imagine if the following had been the announcements given from the pulpit this past Sunday before the sermon (notes about their Anglican canonical basis in small type):

Rubric in Holy Communion (BCP, 1662), after the Creed and before the sermon.
Then the Curate shall declare unto the people what Holy-days, or Fasting-days, are in the week following to be observed. And then also
(if occasion be) shall notice be given of the Communion; and Briefs, Citations, and Excommunications read. And nothing shall be proclaimed or published in the Church during the time of Divine Service, but by the Minister: nor by him any thing, but what is prescribed in the Rules of this Book, or enjoined by the King, or by the Ordinary of the place.

Canon 64 (1604). Ministers solemnly to bid Holy-days.
Every Parson, Vicar or Curate shall in his several Charge declare to the People every Sunday, at the time appointed in the Communion-Book, whether there be any Holy-days, or Fasting-days the Week following. And if any do hereafter wittingly offend herein, and being once admonished thereof by his Ordinary, shall again omit that Duty, let him be censured according to Law, until he submit himself to the due performance of it.

This Friday, 11 June, is St Barnabas’s Day. Even if ye cannot come to a service at church, I encourage you to observe the day with prayer to God on the day itself and a vigil fast on the day before, according as ye are able, to dispose your minds to thanksgiving for the godly example of St Barnabas the Apostle and Martyr. To this end, to explain the feast more fully and feed your devotions, I will hold a vigil service of instruction after Evening Prayer on Thursday night, the eve of the feast. Nevertheless, this St Barnabas’s Day itself, because this year it falls on a Friday, remains a Friday fast as well, both to remember our Lord’s crucifixion on a Friday and to look forward to his resurrection on the following Sunday. So make your hearts ready, with prayer and fasting, both to remember St Barnabas on Friday and to give glory to God on Sunday for the Lord’s bodily resurrection from the dead.

Canon 62 (1604). Ministers not to Marry any Persons without Banns or License.
No Minister upon Pain of Suspension per triennium ipso facto, shall celebrate Matrimony between any Persons, without a Faculty or License granted by some of the Persons in these our Constitutions expressed, except the Banns of Matrimony have been first published three several Sundays or Holy-days in the time of Divine Service, in the Parish Churches or Chapels where the said Parties dwell, according to the Book of Common Prayer. Neither shall any Minister upon the like pain under any Pretence whatsoever, joyn any Persons so Licensed in Marriage at any unseasonable Times, but only between the Hours of Eight and Twelve in the Forenoon, nor in any private Place, but either in the said Churches or Chapels where one of them dwelleth, and likewise in Time of Divine Service: Nor when Banns are thrice asked
(and no License in that respect necessary) before the Parents or Governours of the Parties to be married, being under the Age of Twenty and one Years, shall either personally, or by sufficient Testimony, signifie to him their Consents given to the said Marriage.

This Saturday, 12 June, Bryan and Linda intend to marry here at 11 o’clock. Therefore: I publish the banns of marriage between Bryan Wang of this parish and Linda Lee of this parish. This is the third time of asking. If any of you know cause or just impediment why these two persons should not be joined together in Holy Matrimony, ye are to declare it. If no such cause be declared, then after Evensong on the night before the wedding I shall read from the Second Book of Homilies concerning the state of matrimony, that both those intending to be married and those already married may know God’s will for them.

Rubric in Holy Communion (American BCP, 1928).
When the Minister giveth warning for the Celebration of the Holy Communion, (which he shall always do upon the Sunday, or some Holy-day, immediately preceding,) he shall read this Exhortation following, or so much thereof as, in his discretion, he may think convenient.

Finally, dearly beloved, for the following day, 13 June: On Sunday next I purpose, through God’s assistance, to administer to all such as shall be religiously and devoutly disposed the most comfortable Sacrament of the Body and Blood of Christ; to be by them received in remembrance of his meritorious Cross and Passion; whereby alone we obtain remission of our sins, and are made partakers of the Kingdom of heaven. Wherefore it is our duty to render most humble and hearty thanks to Almighty God, our heavenly Father, for that he hath given his Son our Saviour Jesus Christ, not only to die for us, but also to be our spiritual food and sustenance in that holy Sacrament. Which being so divine and comfortable a thing to them who receive it worthily, and so dangerous to those who will presume to receive it unworthily; my duty is to exhort you, in the mean season to consider the dignity of that holy mystery, and the great peril of the unworthy receiving thereof; and so to search and examine your own consciences, and that not lightly, and after the manner of dissemblers with God; but so that ye may come holy and clean to such a heavenly Feast, in the marriage-garment required by God in holy Scripture, and be received as worthy partakers of that holy Table.

The way and means thereto is: First, to examine your lives and conversations by the rule of God’s commandments; and whereinsoever ye shall perceive yourselves to have offended, either by will, word, or deed, there to bewail your own sinfulness, and to confess yourselves to Almighty God, with full purpose of amendment of life. And if ye shall perceive your offences to be such as are not only against God, but also against your neighbours; then ye shall reconcile yourselves unto them; being ready to make restitution and satisfaction, according to the uttermost of your powers, for all injuries and wrongs done by you to any other; and being likewise ready to forgive others who have offended you, as ye would have forgiveness of your offences at God’s hand: for otherwise the receiving of the holy Communion doth nothing else but increase your condemnation. Therefore, if any of you be a blasphemer of God, an hinderer or slanderer of his Word, an adulterer, or be in malice, or envy, or in any other grievous crime; repent you of your sins, or else come not to that holy Table.

And because it is requisite that no man should come to the holy Communion, but with a full trust in God’s mercy, and with a quiet conscience; therefore, if there be any of you, who by this means cannot quiet his own conscience herein, but requireth further comfort or counsel, let him come to me, or to some other Minister of God’s Word, and open his grief; that he may receive such godly counsel and advice, as may tend to the quieting of his conscience, and the removing of all scruple and doubtfulness.

[Here begins the short prayer before the sermon.]


The Canons of 1604 are not universal, of course, and in the Church of England they have been replaced anyway since the 1960s, but they do show which things are traditionally considered to be suitable announcements for the time after the Nicene Creed and before the sermon. In the 1662 Prayer Book, the exhortation about Holy Communion seems to be ordered after the sermon, but the rubric before the sermon calls for notice of communion then as well; America’s 1928 Prayer Book is more flexible about when the exhortation is to be used. The series of announcements sets the sermon itself within a context of the discipline of the Church. Not least within this discipline are the feasts and fasts set by public authority, whether public worship at church be available for those days or not.

Regardless of which part of the Bible is the source of the sermon to follow, such announcements set a devotional tone that I think useful to Christians’ growth in the ascetical (self-disciplinary) system to which the Church has submitted for the encouragement of holiness. The announcements in that place also call for a harmony, even if a subtle harmony, between the preacher’s sermon and the Church’s feasts and fasts. By setting the sermon within a context of (ideally) the whole Christian body’s discipline, these announcements bring the preached word into churchly discipline, and they bring churchly discipline into the preached word. Both preaching and churchly discipline, after all, whether in absolution of sins or excommunication from the Church, are forms in which the word of God comes to us. Because the announcements before the sermon are not just any announcements – an announcement about the parish potluck is excluded – they serve as an integral part of the Church’s system of spiritual discipline, rather than an insertion of logistically necessary announcements into any ‘convenient’ pause in the service. Thus, the announcements deemed suitable at the time commanded in the Prayer Book are intended to be the ones that pull devout worshippers farther into the devotion necessary for the exalted service of Holy Communion, where they appear.

To approach the announcements at that time as a sabbath from the sabbath, so to speak, is the wrong way to go about it. Instead, the right way is to use the permitted pulpit announcements as part of the exercise of devotion, part of the heavenly rest we take by faith in the Lord’s Day. May it be to the people an occasion not to be distracted, but rather to be devoted to the things of God; not to wander, but to be in wonder; not to loosen, but to fear God.

Chinese Canopy at the Lord’s Table

A Chinese Protestant æsthetic has a lot of opportunity for expressive decoration that promotes biblical reflection on the things done in church.

I’m imagining a Chinese ciborium over the Lord’s Table, at which each of the four posts is a tree, and the column’s bracketing is the tree’s branches, and the leaves are (as St John says) for the healing of the nations. On each tree trunk is a carved dragon-seraph in relief, outlined by gold or mother-of-pearl inlay, with the face of a man, a lion, an ox, or an eagle (Matthew, Mark, Luke, John). The canopy’s pinnacle is in the form of a pearl, the pearl of great price that is the gospel. The altar rail has opportunities for motifs as well: lingzhi for immortality, pomegranates for the blood of abundant martyrs and the resurrection.

Now you just need infinite money to also commission gorgeous pieces of the finest Chinese brocade and embroidery for richly symbolic altar frontals.

Providence: Not Linear Progressive History, but Curved Apocalyptic History

Many people see history as linear, as an advance of ‘progress’. (Progress? To what destination?) In God’s providence there is a direction to it all, but the only thing we know for sure about that direction is what God has specifically revealed in holy Scripture; still less is history, as told by the Bible, composed of straight lines.

Sack of the temple, Arch of Titus.

For example, the Olivet Discourse in Matthew 24–25 speaks mainly of the destruction of Jerusalem in AD 70, but of that event in AD 70 as a coming of the Lord in glory to crush his enemies. Within a generation (24.34) ‘shall appear the sign of the Son of man in heaven: and then shall all the tribes of the earth mourn, and they shall see the Son of man coming in the clouds of heaven with power and great glory’ (24.30). Thus, he later says to the high priest, sitting with the scribes and the elders, ‘Thou hast said [that I am the Christ, the Son of God]: nevertheless I say unto you, Hereafter shall ye see the Son of man sitting on the right hand of power, and coming in the clouds of heaven’ (26.64). Christ’s destruction of Jerusalem in AD 70 is not just a harbinger of his final return in the flesh at the end of the world, but in an important way the very same event. This is not linear history, but in a sense a curved event that intersects with the linear timeline twice, once in AD 70 and once at the end of the world.

Michelangelo, ‘The Last Judgement’.

If this is the way that Christ teaches us to understand history, then it destroys the myth of history as linear progress.

Allow Me Some Racism Against the West About COVID-19

All these frivolous White people botching COVID-19 responses. You basically need four things:

  1. a short draconian lockdown,
  2. provision for everyone to eat and pay rent,
  3. test-and-trace, and
  4. closing of borders.

If you do not do all four, your plan will harm many people for nothing. It’s all or nothing. Instead, the West does cycles of lockdowns that have no salutary effect and destroy the œconomy. Their governments, and their politics more generally, are a joke.

Taiwan has been free of domestic COVID-19 cases for more than 200 days. They have concerts again, and schools are open. But when they did lockdowns, violators were fined 1 million new Taiwan dollars. Contacts were traced in a population almost the size of Texas on an island the size of New Jersey. Borders were closed. It worked. Taiwan may politically be a joke in other ways, but in this area it did well.

In contrast, the US government has only wrecked the lives of ordinary citizens. A ‘stimulus package’ of a measly $600 per citizen is also freighted with other special allocations on top of the ordinary budget:

  1. $4 billion for Navy weapons procurement;
  2. $2 billion for Air Force missile procurement;
  3. $2 billion for the Space Force;
  4. $1.3 billion for Ægypt;
  5. $700 million for the war in Sudan;
  6. $453 million for US forces occupying the Ukrainian border;
  7. $500 million in ‘relief’ for the Zionist state (about $50 per Israeli).

330 million cheques of $600 each amounts to about $200 billion, and the bill will cost about $900 billion in all. The money spent on weapons and foreign ‘aid’ is on top of the $740 billion already allocated for the 2021 Pentagon budget.

The political process is discredited. These United States are not a serious state.

Applying St Paul’s Teaching on ‘the Weak’ and ‘the Strong’ in Romans 14.1–15.13

In Romans 14.1–15.13, St Paul teaches on ‘the weak’ and ‘the strong’, saying that the strong should accommodate the scruples of the weak, but he also pushes the Christians in Rome, as they live in harmony, to develop a common mind rather than merely agreeing to disagree. This is a pattern he consistently upholds from Romans 12 to Romans 15. In 12.1, he urges the brethren to offer up their bodies (τὰ σώματα ὑμῶν, plural) as a sacrifice that is living, holy, and acceptable to God (θυσίαν ζῶσαν ἁγίαν εὐάρεστον τῷ θεῷ, singular); in 12.2, rather than a transformation of believers’ minds severally, he speaks of a single transformation of the mind (τῇ ἀνακαινώσει τοῦ νοός); in 12.15–16, he says, ‘Rejoice with them that do rejoice, and weep with them that weep; be of the same mind one toward another’; in 15.5–6, ‘Now the God of patience and consolation grant you to be likeminded one toward another according to Christ Jesus: that ye may with one mind and one mouth glorify God, even the Father of our Lord Jesus Christ.’ Respect for differences in conviction, then, is to serve a higher end: the formation of the mind of the Holy Spirit in the Church, whether through diverse spiritual gifts animated by one Spirit or through a unity even with diverse convictions on food, days, and other such things the Reformed tradition has called adiaphora (things in themselves indifferent).

Those who are strong, then, are not to impose their views on those who are weak, whose faith in God does not depend on (say) dietary and festival laws. No doubt the trajectory in the long term is toward strength, whereby the people will be able to worship God without scrupling about the Mosaic Law, recognizing what things are truly matters indifferent and not matters de fide (of faith). As Ben Witherington notes in Paul’s Letter to the Romans: A Socio-Rhetorical Commentary, 338, St Paul in Romans 14.14 and 14.20 says plainly that no food in unclean in itself. He is certainly not lacking in a strong position. Nevertheless, he says that judging others and criticizing them for their scruples is not the way. It seems to me that respect for variation in convictions and practices is itself part of the common mind that St Paul wants to cultivate in the Church, by the power of the Holy Ghost.

In the use or disuse of Christmas among Reformed Christians, I think strong or weak faith might appear on both sides. A weak Anglican brother may be one who mistakenly thinks that observance of Christmas is essential to his righteousness; a weak Dissenter brother may be one who mistakenly thinks that nonobservance of Christmas, and use of the Lord’s Day only as a day set aside for worship, is essential to his righteousness. A wise strong Reformed Christian may worship with the weaker Anglican brother on Christmas Day, and even through all twelve days of Christmastide all the way to 5 January, but he will also not impose Christmas as an observance upon the weaker Presbyterian brother who believes that the Lord’s Day alone should be observed, nor will he tempt that brother to act against conscience. In the pulpit, he may preach on the Incarnation of our Lord; at home, he may invite both brethren to dinner in Christmastide, that they may rejoice together in the saving truth of our Lord’s coming to us as a man. In the long term, the faith of both weaker brethren will strengthened as they unite in the Lord, both aware of the other’s conviction and, through respect, growing in faith in what is indeed essential to righteousness.

In recommending the use of Fridays as fast days and the use of Lent as a seasonal fast, the Book of Common Prayer also wisely avoids imposing particular practices, whether in choice of meats, forgoing of food, or particular private devotions. This restraint serves the weaker brother who feels that he must not eat land meat, lest he indulge himself in a season of corporate fasting; likewise, it serves the weaker brother who feels that he must not intentionally avoid land meat, lest he fall to popery. What will bring them together is a common focus on the promises of God’s word (15.4–6), through which God will make them likeminded and glorify God with one mind and one mouth. So preaching to an audience with both kinds of weaker brethren may focus on what God promises to those who repent of their sins and fast to seek his face, who mourn that they may be comforted.

One place in which I am uncertain is the fulfilment of the day of rest. I agree with Douglas Moo, in Encountering the Book of Romans, when he says of the commandment in the Mosaic Law, ‘As Hebrews suggests, the Sabbath command has found its fulfillment in Christ, so that all of us who have access to God through faith live in an eternal “Sabbath-rest”.’ The chief way in which we fulfil this law in spirit is to rest in the finished work of Christ, being justified by faith and not by works of the law. Nevertheless, my own conviction is that Lord’s Day rest is necessary not only to help us ourselves rest from our labours and trust in the Lord, but to give others the opportunity to do so as well. This is a secondary moral application of the Fourth Commandment, important against the claims of the idols of our day, not least the idol of global neoliberal capitalism. I think the practice of a weekly day of rest, which cannot be fulfilled unless practised by the body of Christians and not merely by individuals, is undermined by the buying and selling that Christians do on Sunday, which creates incentives contrary to those I think we should be committed to. Sometimes Christians buy and sell on Sundays to facilitate their own practices at church, such as catered church lunch after the Sunday morning service. Suppose that one is dating a girl who does not scruple at buying groceries on a Sunday, and she fears that avoiding Sunday shopping out of respect for her husband’s convictions would be an undue burden on her; perhaps she thinks the solution is to agree to disagree, not interfering with each other’s individual practices. I think this is not what St Paul meant, but such a situation seems a difficult knot for a family to untie.

Enoch Powell’s ‘Rivers of Blood’ Speech

The full text of British MP Enoch Powell’s speech, delivered to a Conservative Association meeting in Birmingham, England, on 20 April 1968.

The supreme function of statesmanship is to provide against preventable evils. In seeking to do so, it encounters obstacles which are deeply rooted in human nature.

One is that by the very order of things such evils are not demonstrable until they have occurred: at each stage in their onset there is room for doubt and for dispute whether they be real or imaginary. By the same token, they attract little attention in comparison with current troubles, which are both indisputable and pressing: whence the besetting temptation of all politics to concern itself with the immediate present at the expense of the future.

Above all, people are disposed to mistake predicting troubles for causing troubles and even for desiring troubles: ‘If only,’ they love to think, ‘if only people wouldn’t talk about it, it probably wouldn’t happen.’

Perhaps this habit goes back to the primitive belief that the word and the thing, the name and the object, are identical.

At all events, the discussion of future grave but, with effort now, avoidable evils is the most unpopular and at the same time the most necessary occupation for the politician. Those who knowingly shirk it deserve, and not infrequently receive, the curses of those who come after.

A week or two ago I fell into conversation with a constituent, a middle-aged, quite ordinary working man employed in one of our nationalised industries.

After a sentence or two about the weather, he suddenly said: ‘If I had the money to go, I wouldn’t stay in this country.’ I made some deprecatory reply to the effect that even this government wouldn’t last for ever; but he took no notice, and continued: ‘I have three children, all of them been through grammar school and two of them married now, with family. I shan’t be satisfied till I have seen them all settled overseas. In this country in 15 or 20 years’ time the black man will have the whip hand over the white man.’

I can already hear the chorus of execration. How dare I say such a horrible thing? How dare I stir up trouble and inflame feelings by repeating such a conversation?

The answer is that I do not have the right not to do so. Here is a decent, ordinary fellow Englishman, who in broad daylight in my own town says to me, his Member of Parliament, that his country will not be worth living in for his children.

I simply do not have the right to shrug my shoulders and think about something else. What he is saying, thousands and hundreds of thousands are saying and thinking – not throughout Great Britain, perhaps, but in the areas that are already undergoing the total transformation to which there is no parallel in a thousand years of English history.

In 15 or 20 years, on present trends, there will be in this country three and a half million Commonwealth immigrants and their descendants. That is not my figure. That is the official figure given to parliament by the spokesman of the Registrar General’s Office.

There is no comparable official figure for the year 2000, but it must be in the region of five to seven million, approximately one tenth of the whole population, and approaching that of Greater London. Of course, it will not be evenly distributed from Margate to Aberystwyth and from Penzance to Aberdeen. Whole areas, towns and parts of towns across England will be occupied by sections of the immigrant and immigrant-descended population.

As time goes on, the proportion of this total who are immigrant descendants, those born in England, who arrived here by exactly the same route as the rest of us, will rapidly increase. Already by 1985 the native-born would constitute the majority. It is this fact which creates the extreme urgency of action now, of just that kind of action which is hardest for politicians to take, action where the difficulties lie in the present but the evils to be prevented or minimised lie several parliaments ahead.

The natural and rational first question with a nation confronted by such a prospect is to ask: ‘How can its dimensions be reduced?’ Granted it be not wholly preventable, can it be limited, bearing in mind that numbers are of the essence: the significance and consequences of an alien element introduced into a country or population are profoundly different according to whether that element is 1 per cent or 10 per cent.

The answers to the simple and rational question are equally simple and rational: by stopping, or virtually stopping, further inflow, and by promoting the maximum outflow. Both answers are part of the official policy of the Conservative Party.

It almost passes belief that at this moment 20 or 30 additional immigrant children are arriving from overseas in Wolverhampton alone every week – and that means 15 or 20 additional families a decade or two hence. Those whom the gods wish to destroy, they first make mad. We must be mad, literally mad, as a nation to be permitting the annual inflow of some 50,000 dependants, who are for the most part the material of the future growth of the immigrant-descended population. It is like watching a nation busily engaged in heaping up its own funeral pyre. So insane are we that we actually permit unmarried persons to immigrate for the purpose of founding a family with spouses and fiancés whom they have never seen.

Let no one suppose that the flow of dependants will automatically tail off. On the contrary, even at the present admission rate of only 5,000 a year by voucher, there is sufficient for a further 25,000 dependants per annum ad infinitum, without taking into account the huge reservoir of existing relations in this country – and I am making no allowance at all for fraudulent entry. In these circumstances nothing will suffice but that the total inflow for settlement should be reduced at once to negligible proportions, and that the necessary legislative and administrative measures be taken without delay.

I stress the words ‘for settlement’. This has nothing to do with the entry of Commonwealth citizens, any more than of aliens, into this country, for the purposes of study or of improving their qualifications, like (for instance) the Commonwealth doctors who, to the advantage of their own countries, have enabled our hospital service to be expanded faster than would otherwise have been possible. They are not, and never have been, immigrants.

I turn to re-emigration. If all immigration ended tomorrow, the rate of growth of the immigrant and immigrant-descended population would be substantially reduced, but the prospective size of this element in the population would still leave the basic character of the national danger unaffected. This can only be tackled while a considerable proportion of the total still comprises persons who entered this country during the last ten years or so.

Hence the urgency of implementing now the second element of the Conservative Party’s policy: the encouragement of re-emigration.

Nobody can make an estimate of the numbers which, with generous assistance, would choose either to return to their countries of origin or to go to other countries anxious to receive the manpower and the skills they represent.

Nobody knows, because no such policy has yet been attempted. I can only say that, even at present, immigrants in my own constituency from time to time come to me, asking if I can find them assistance to return home. If such a policy were adopted and pursued with the determination which the gravity of the alternative justifies, the resultant outflow could appreciably alter the prospects.

The third element of the Conservative Party’s policy is that all who are in this country as citizens should be equal before the law and that there shall be no discrimination or difference made between them by public authority. As Mr Heath has put it we will have no ‘first-class citizens’ and ‘second-class citizens’. This does not mean that the immigrant and his descendent should be elevated into a privileged or special class or that the citizen should be denied his right to discriminate in the management of his own affairs between one fellow-citizen and another or that he should be subjected to imposition as to his reasons and motive for behaving in one lawful manner rather than another.

There could be no grosser misconception of the realities than is entertained by those who vociferously demand legislation as they call it ‘against discrimination’, whether they be leader-writers of the same kidney and sometimes on the same newspapers which year after year in the 1930s tried to blind this country to the rising peril which confronted it, or archbishops who live in palaces, faring delicately with the bedclothes pulled right up over their heads. They have got it exactly and diametrically wrong.

The discrimination and the deprivation, the sense of alarm and of resentment, lies not with the immigrant population but with those among whom they have come and are still coming.

This is why to enact legislation of the kind before parliament at this moment is to risk throwing a match on to gunpowder. The kindest thing that can be said about those who propose and support it is that they know not what they do.

Nothing is more misleading than comparison between the Commonwealth immigrant in Britain and the American Negro. The Negro population of the United States, which was already in existence before the United States became a nation, started literally as slaves and were later given the franchise and other rights of citizenship, to the exercise of which they have only gradually and still incompletely come. The Commonwealth immigrant came to Britain as a full citizen, to a country which knew no discrimination between one citizen and another, and he entered instantly into the possession of the rights of every citizen, from the vote to free treatment under the National Health Service.

Whatever drawbacks attended the immigrants arose not from the law or from public policy or from administration, but from those personal circumstances and accidents which cause, and always will cause, the fortunes and experience of one man to be different from another’s.

But while, to the immigrant, entry to this country was admission to privileges and opportunities eagerly sought, the impact upon the existing population was very different. For reasons which they could not comprehend, and in pursuance of a decision by default, on which they were never consulted, they found themselves made strangers in their own country.

They found their wives unable to obtain hospital beds in childbirth, their children unable to obtain school places, their homes and neighbourhoods changed beyond recognition, their plans and prospects for the future defeated; at work they found that employers hesitated to apply to the immigrant worker the standards of discipline and competence required of the native-born worker; they began to hear, as time went by, more and more voices which told them that they were now the unwanted. They now learn that a one-way privilege is to be established by act of parliament; a law which cannot, and is not intended to, operate to protect them or redress their grievances is to be enacted to give the stranger, the disgruntled and the agent-provocateur the power to pillory them for their private actions.

In the hundreds upon hundreds of letters I received when I last spoke on this subject two or three months ago, there was one striking feature which was largely new and which I find ominous. All Members of Parliament are used to the typical anonymous correspondent; but what surprised and alarmed me was the high proportion of ordinary, decent, sensible people, writing a rational and often well-educated letter, who believed that they had to omit their address because it was dangerous to have committed themselves to paper to a Member of Parliament agreeing with the views I had expressed, and that they would risk penalties or reprisals if they were known to have done so. The sense of being a persecuted minority which is growing among ordinary English people in the areas of the country which are affected is something that those without direct experience can hardly imagine.

I am going to allow just one of those hundreds of people to speak for me:

Eight years ago in a respectable street in Wolverhampton a house was sold to a Negro. Now only one white (a woman old-age pensioner) lives there. This is her story. She lost her husband and both her sons in the war. So she turned her seven-roomed house, her only asset, into a boarding house. She worked hard and did well, paid off her mortgage and began to put something by for her old age. Then the immigrants moved in. With growing fear, she saw one house after another taken over. The quiet street became a place of noise and confusion. Regretfully, her white tenants moved out.

The day after the last one left, she was awakened at 7 a.m. by two Negroes who wanted to use her ’phone to contact their employer. When she refused, as she would have refused any stranger at such an hour, she was abused and feared she would have been attacked but for the chain on her door. Immigrant families have tried to rent rooms in her house, but she always refused. Her little store of money went, and after paying rates, she has less than £2 per week.

She went to apply for a rate reduction and was seen by a young girl, who on hearing she had a seven-roomed house, suggested she should let part of it. When she said the only people she could get were Negroes, the girl said, ‘Racial prejudice won’t get you anywhere in this country.’ So she went home.

The telephone is her lifeline. Her family pay the bill, and help her out as best they can. Immigrants have offered to buy her house – at a price which the prospective landlord would be able to recover from his tenants in weeks, or at most a few months. She is becoming afraid to go out. Windows are broken. She finds excreta pushed through her letter box. When she goes to the shops, she is followed by children, charming, wide-grinning piccaninnies. They cannot speak English, but one word they know. ‘Racialist,’ they chant. When the new Race Relations Bill is passed, this woman is convinced she will go to prison. And is she so wrong? I begin to wonder.

The other dangerous delusion from which those who are wilfully or otherwise blind to realities suffer, is summed up in the word ‘integration’. To be integrated into a population means to become for all practical purposes indistinguishable from its other members.

Now, at all times, where there are marked physical differences, especially of colour, integration is difficult though, over a period, not impossible. There are among the Commonwealth immigrants who have come to live here in the last fifteen years or so, many thousands whose wish and purpose is to be integrated and whose every thought and endeavour is bent in that direction.

But to imagine that such a thing enters the heads of a great and growing majority of immigrants and their descendants is a ludicrous misconception, and a dangerous one.

We are on the verge here of a change. Hitherto it has been force of circumstance and of background which has rendered the very idea of integration inaccessible to the greater part of the immigrant population – that they never conceived or intended such a thing, and that their numbers and physical concentration meant the pressures towards integration which normally bear upon any small minority did not operate.

Now we are seeing the growth of positive forces acting against integration, of vested interests in the preservation and sharpening of racial and religious differences, with a view to the exercise of actual domination, first over fellow-immigrants and then over the rest of the population. The cloud no bigger than a man’s hand, that can so rapidly overcast the sky, has been visible recently in Wolverhampton and has shown signs of spreading quickly. The words I am about to use, verbatim as they appeared in the local press on 17 February, are not mine, but those of a Labour Member of Parliament who is a minister in the present government:

The Sikh communities’ campaign to maintain customs inappropriate in Britain is much to be regretted. Working in Britain, particularly in the public services, they should be prepared to accept the terms and conditions of their employment. To claim special communal rights (or should one say rites?) leads to a dangerous fragmentation within society. This communalism is a canker; whether practised by one colour or another it is to be strongly condemned.

All credit to John Stonehouse for having had the insight to perceive that, and the courage to say it.

For these dangerous and divisive elements the legislation proposed in the Race Relations Bill is the very pabulum they need to flourish. Here is the means of showing that the immigrant communities can organise to consolidate their members, to agitate and campaign against their fellow citizens, and to overawe and dominate the rest with the legal weapons which the ignorant and the ill-informed have provided. As I look ahead, I am filled with foreboding; like the Roman, I seem to see ‘the River Tiber foaming with much blood’.

That tragic and intractable phenomenon which we watch with horror on the other side of the Atlantic but which there is interwoven with the history and existence of the States itself, is coming upon us here by our own volition and our own neglect. Indeed, it has all but come. In numerical terms, it will be of American proportions long before the end of the century.

Only resolute and urgent action will avert it even now. Whether there will be the public will to demand and obtain that action, I do not know. All I know is that to see, and not to speak, would be the great betrayal.

Chinese Brocades for Copes?

The cope is a churchly cape of splendour, generally having a border (called an orphrey) along the straight edge. It is often worn on state occasions, and in the Church of England required by the Canons of 1604 for the ministers in cathedral churches at Holy Communion.

Elizabeth II at St Paul’s Cathedral with two ministers wearing copes.

Usually, a cope has an ornamental hood on the back, which may be decorated with a symbolic picture.

Queen Elizabeth II - Commonwealth Day Service 2020
Commonwealth Day Service, Westminster Abbey, 2020.

In the Anglican tradition, however, we have ample warrant for variation. As the 39 Articles say, ‘It is not necessary that Traditions and Ceremonies be in all places one, or utterly like; for at all times they have been divers, and may be changed according to the diversity of countries, times, and men’s manners, so that nothing be ordained against God’s Word.’ Still less is it necessary or even desirable that ornaments in Asia follow those of England in every particular; rather, to illustrate the principle of national independence in churchly communion, it is desirable that ornaments be somewhat different but show a family resemblance. Imagine if copes in China, offering the best of local crafts in churchly ornaments, used Chinese brocades.

Nanjing yun (cloud) brocade used in a Qing dynasty costume.

Certainly elaborate brocades have been used in religious settings in Chinese culture, as in this Buddhist cape, whose central rectangular panel depicts a qilin while, outwith the panel, four dragons fly up from the water below:

Buddhist monk’s cape, Qing dynasty.

With the rich Chinese artistic tradition of symbolic animals, clouds, flames, waves, and plants, it would not be difficult to produce brocaded copes with highly textured imagery that aptly expressed the spirit of the occasion intended. The rectangular panel above, in this case depicting a qilin, could easily be adapted into a cope’s hood and show any number of embroidered devices: a lamb, a lion, a lotus, or even several sinograms combined in a round seal (e.g., 聖民承國, ‘the holy people take the kingdom’, referring to Daniel 7.18). When the gospel takes hold of the Chinese empire, it may have centuries to drive development in the arts, and copes worn in church are no exception.

Abominations the Magistrate Must Suppress

In Western churches, and in Western-influenced churches, it is not rare that Christians are aghast at laws whose punishments, and underlying system of morality, resemble those of the Old Testament. They think such laws too harsh. Sometimes they compare them to sharia law. Would they also be aghast at the morality of the Mosaic Law? If so, are they aghast at the God ‘with whom is no variableness, neither shadow of turning’?

It is one thing to desire some patient tolerance for those who do not know God; it is another to judge that the God of the Old Testament was unjust, and to feel relieved that the God of the New Testament is not like that. But God is one. People must live with that truth. Perhaps they want their own commonwealths to be ruled by something other than the justice of God, another principle, someone else’s principle. If so, perhaps they desire another gospel than the one that declares that God, the one God, maker of heavan and earth, has inaugurated his kingdom on earth in the person of Jesus Christ. The gospel declares that God, the God of Abraham, both has saved and is saving the world by his own righteousness, in the person of Jesus Christ, whom he has raised from the dead and set as judge over all. In politics, some demand a different political god’s moral law over the moral law of God; in substance, by refusing the rule of Christ, they deny the gospel.

There are, then, some fundamental public principles a Christian must hold. If we turn and consider the reasons for which God destroys the nations, we see some basic things that a state must do if it is to avoid perishing like Sodom. The state must forbid and punish certain sins, or God will destroy the people.

In Leviticus 18, God forbids various sins of incest, adultery, child sacrifice to Molech, homosexuality, and bestiality, saying that for these sins he is expelling the Canaanites:

And the LORD spake unto Moses, saying, Speak unto the children of Israel, and say unto them, I am the LORD your God. After the doings of the land of Egypt, wherein ye dwelt, shall ye not do: and after the doings of the land of Canaan, whither I bring you, shall ye not do: neither shall ye walk in their ordinances. Ye shall do my judgments, and keep mine ordinances, to walk therein: I am the LORD your God. Ye shall therefore keep my statutes, and my judgments: which if a man do, he shall live in them: I am the LORD.

None of you shall approach to any that is near of kin to him, to uncover their nakedness: I am the LORD. The nakedness of thy father, or the nakedness of thy mother, shalt thou not uncover: she is thy mother; thou shalt not uncover her nakedness. The nakedness of thy father’s wife shalt thou not uncover: it is thy father’s nakedness. The nakedness of thy sister, the daughter of thy father, or daughter of thy mother, whether she be born at home, or born abroad, even their nakedness thou shalt not uncover. The nakedness of thy son’s daughter, or of thy daughter’s daughter, even their nakedness thou shalt not uncover: for theirs is thine own nakedness. The nakedness of thy father’s wife’s daughter, begotten of thy father, she is thy sister, thou shalt not uncover her nakedness. Thou shalt not uncover the nakedness of thy father’s sister: she is thy father’s near kinswoman. Thou shalt not uncover the nakedness of thy mother’s sister: for she is thy mother’s near kinswoman. Thou shalt not uncover the nakedness of thy father’s brother, thou shalt not approach to his wife: she is thine aunt. Thou shalt not uncover the nakedness of thy daughter in law: she is thy son’s wife; thou shalt not uncover her nakedness. Thou shalt not uncover the nakedness of thy brother’s wife: it is thy brother’s nakedness. Thou shalt not uncover the nakedness of a woman and her daughter, neither shalt thou take her son’s daughter, or her daughter’s daughter, to uncover her nakedness; for they are her near kinswomen: it is wickedness. Neither shalt thou take a wife to her sister, to vex her, to uncover her nakedness, beside the other in her life time. Also thou shalt not approach unto a woman to uncover her nakedness, as long as she is put apart for her uncleanness. Moreover thou shalt not lie carnally with thy neighbour’s wife, to defile thyself with her. And thou shalt not let any of thy seed pass through the fire to Molech, neither shalt thou profane the name of thy God: I am the LORD. Thou shalt not lie with mankind, as with womankind: it is abomination. Neither shalt thou lie with any beast to defile thyself therewith: neither shall any woman stand before a beast to lie down thereto: it is confusion.

Defile not ye yourselves in any of these things: for in all these the nations are defiled which I cast out before you: and the land is defiled: therefore I do visit the iniquity thereof upon it, and the land itself vomiteth out her inhabitants. Ye shall therefore keep my statutes and my judgments, and shall not commit any of these abominations; neither any of your own nation, nor any stranger that sojourneth among you: (for all these abominations have the men of the land done, which were before you, and the land is defiled;) that the land spue not you out also, when ye defile it, as it spued out the nations that were before you. For whosoever shall commit any of these abominations, even the souls that commit them shall be cut off from among their people. Therefore shall ye keep mine ordinance, that ye commit not any one of these abominable customs, which were committed before you, and that ye defile not yourselves therein: I am the LORD your God.

In Deuteronomy 18, Moses declares to all Israel:

When thou art come into the land which the LORD thy God giveth thee, thou shalt not learn to do after the abominations of those nations. There shall not be found among you any one that maketh his son or his daughter to pass through the fire, or that useth divination, or an observer of times, or an enchanter, or a witch, or a charmer, or a consulter with familiar spirits, or a wizard, or a necromancer. For all that do these things are an abomination unto the LORD: and because of these abominations the LORD thy God doth drive them out from before thee. Thou shalt be perfect with the LORD thy God. For these nations, which thou shalt possess, hearkened unto observers of times, and unto diviners: but as for thee, the LORD thy God hath not suffered thee so to do.

Thus, witchcraft and divination are also forbidden to even the nations, and for these abominations God is driving the Canaanites out as Israel advances into Canaan.

God has not changed. The sins for which he drove out the Canaanites and destroyed Sodom and Gomorrah are the same sins for which he will destroy whole peoples now, and the same sins that a governor now must suppress if he cares for the lives of his people.

These are the truths Christians ought to hold, even though they cannot compel others to hold them. A key test is to have an observer compare the Mosaic Law and the kind of legal system that Christian citizens desire for their nation: in the two systems, does he see the moral principles of the same God, or does he see that Christians are hypocrites? If we say that God is one, and that the gospel of Jesus Christ is about this one God who in the person of Christ reigns over heaven and earth, and that this is at the heart of the gospel, then must take care that we take this as good news indeed.

Drilling Procedures v. Thinking with Euler

Glowing Brain - Stock Motion Graphics | Motion Array

The values of classical education differ from those of conventional teaching in the West. The difference in educational philosophy shows up in methods. In teaching math, people take various approaches, some of them more successful and some of them less so.

Take the example of algebra. People often rush through concepts. They are prone to believe that concepts, once ‘covered’, are now understood. It’s important, I think, to judge accurately how ready a child’s mind is to think abstractly. Some children’s brains are physically not there yet. In that case, it would be better to do without the abstractions of letters standing for unknown quantities. Without the ability to think that abstractly, students end up frustrated and unable to learn what the teacher hoped they would learn. Instead, if they cannot yet understand the abstractions, they can do further work on concrete numbers. If they are not yet ready to understand, let them not delude themselves with the false impression that they understand.

Many Christian teachers use Saxon textbooks for math. The Saxon books take the approach of repeatedly circling back to drill procedures. Drilling mere procedures, rather than going for a clear understanding of what is actually being done, is a weakness that makes Saxon distinctly unclassical in its approach. I have some experience with children who used Saxon, and this is what I saw: Rather than sit down calmly and think about what the problem actually was, they grasped at straws to repeat some familiar procedure. Whatever had happened, their minds were dulled to actual understanding.

When we compare Saxon’s approach to teaching with Leonhard Euler’s approach to teaching his Elements of Algebra, we see a world of difference; and Euler’s, I think, is by far the more classical. Unlike newer books, which are eager to have students solve æquations of which they have no actual understanding, Euler does not begin to treat of æquations at all until section 4 of part 1, long after even logarithms:

  1. Containing the Analysis of Determinate Quantities
    1. Of the different methods of calculating simple quantities
      1. Of mathematics in general
      2. Explanation of the signs + plus and − minus
      3. Of the multiplication of simple quantities
      4. Of the nature of whole numbers, or integers with respect to their factors
      5. Of the division of simple quantities
      6. Of the properties of integers, with respect to their divisors
      7. Of fractions in general
      8. Of the properties of fractions
      9. Of the addition and subtraction of fractions
      10. Of the multiplication and division of fractions
      11. Of square numbers
      12. Of square roots, and of irrational numbers resulting from them
      13. Of impossible, or imaginary quantitites, which arise from the same source
      14. Of cubic numbers
      15. Of cube roots, and of irrational numbers resulting from them
      16. Of powers in general
      17. Of the calculation of powers
      18. Of roots in relation to the powers in general
      19. Of the method of representing irrational numbers by fractional exponents
      20. Of the different methods of calculation, and of their mutual connexion
      21. Of logarithms in general
      22. Of the logarithmic tables that are now in use
      23. Of the method of expressing logarithms
    2. Of the different methods of calculating compound quantities
      1. Of the addition of compound quantities
      2. Of the subtraction of compound quantities
      3. Of the multiplication of compound quantities
      4. Of the division of compound quantities
      5. Of the resolution of fractions into infinite series
      6. Of the squares of compound quantities
      7. Of the extraction of roots applied to compound quantities
      8. Of the calculation of irrational quantities
      9. Of cubes, and of the extraction of cube roots
      10. Of the higher powers of compound quantities
      11. Of the transposition of the letters, on which the demonstration of the preceding rule is founded
      12. Of the expression of irrational powers by infinite series
      13. Of the resolution of negative powers
    3. Of ratios and proportions
      1. Of arithmetical ratio, or the difference between two numbers
      2. Of arithmetical proportion
      3. Of arithmetical progressions
      4. Of the summation of arithmetical progressions
      5. Of figurate, or polygonal numbers
      6. Of geometrial ratio
      7. Of the greatest common divisor of two given numbers
      8. Of geometrical proportions
      9. Observations on the rules of proportion and their utility
      10. Of compound relations
      11. Of geometrical progressions
      12. Of infinite decimal fractions
      13. Of the calculation of interest
    4. Of algebraic equations, and of the resolution of those equations
      1. Of the solution of problems in general
      2. Of the resolution of simple equations, or equations of the first degree
      3. Of the solution of questions relating to the preceding chapter
      4. Of the resolution of two or more equations of the same degree
      5. Of the resolution of pure quadratic equations
      6. Of the resolution of mixed equations of the second degree
      7. Of the extraction of the roots of polygonal numbers
      8. Of the extraction of square roots of binomials
      9. Of the nature of equations of the second degree
      10. Of pure equations of the third degree
      11. Of the resolution of complete equations of the third degree
      12. Of the Rule of Cardan, or that of Scipio Ferreo
      13. Of the resolution of equations of the fourth degree
      14. Of the Rule of Bombelli, for reducing the resolution of equations of the fourth degree to that of equations of the third degree
      15. Of a new method of resolving equations of the fourth degree
      16. Of the resolution of equations by approximation
  2. Containing the Analysis of Indeterminate Quantities

For brevity, I have omitted the chapter headings of part 2, ‘Containing the Analysis of Indeterminate Quantities’.

What Euler’s way demands is attention and careful thought, not mindless following of steps to perform numerical sorcery. For that, I appreciate him greatly, even if students have often to be compelled to think hard about what they believe they already understand. A calculator is able to take an input and give an accurate output; a human mind, however, is able to understand, and that is the difference between mastery and slavery in the mind.