Friday, 23 February 2007

Bible Commentaries

Sometimes it can be hard to understand what a particular Bible passage is about. This is where a good commentary can be invaluable. Here are some useful ones. But don't take what they say at face value—always check them against what the King of Books says. Thanks again to Luke Jenner for the initial list.

New Bible CommentaryG Wenham, J Motyer, D Carson, R France (editors)IVP
New Bible DictionaryI H Marshall, A R Millard, J I Packer, D J Wiseman (editors)IVP
Welwyn Commentary Series (especially Romans)Evangelical Press
Bible Speaks Today SeriesIVP
Tyndale Commentaries SeriesIVP
New Testament CommentariesGeoffrey B WilsonBanner of Truth
Focus on the Bible CommentariesChristian Focus Publications
Reading the BibleGeoffrey ThomasBanner of Truth
Exhaustive Concordance of the BibleJames Strong
Expository Thoughts on the GospelsJ C RyleBanner of Truth
New Testament Commentaries (including More Than Conquerors: An Interpretation of the Book of Revelation)William HendriksenBaker

See also: Bible Introduction and Overview, Systematic Theologies, Contemporary Issues, Biography and History, Devotional

Bible Introduction and Overview

Search for "Bible Introduction" in Amazon and you're presented with a list of several hundred titles. How can you sort out the trivial from the profound, the rubbish from the pearls of wisdom? Well, here's a start at least. Here are a few basic reference works that will help you discover something of the background to the King of Books. With grateful thanks to Luke Jenner.

The New Testament: An Introduction to Its Literature and HistoryJ Gresham MachenBanner of Truth
An Introduction to the Old TestamentE J YoungEerdmans
Survey of the BibleWilliam HendriksenEvangelical Press
The Moody Atlas of Bible LandsBarry J BeitzelMoody Press

See also: Bible Commentaries, Systematic Theologies, Contemporary Issues, Biography and History, Devotional

Friday, 16 February 2007

Hand Painting

SwanThis is clever. I originally came across it (and more like it) at Mighty Optical Illusions .

It's one of a number of hand and body paintings by Italian artist Guido Daniele of Milan.

Tuesday, 13 February 2007

It Has to Stop

Marks and Spencer killed nearly 6,000 children at 9 stores in the UK during January 2007.

No, it's not true, but imagine the public outcry there would be if it were.

The truth is that Marie Stopes International provided nearly 6,000 (5,992) abortions to women at its nine UK centres last month—the most in its 32-year history, and 13 per cent more than January last year. (See, e.g., the BBC news report)

The silent killing goes on, vulnerable women continue to be traumatized, and society is not perturbed.

The response from the so-called pro-choice lobby is to campaign for greater access to the "morning after pill", to encourage the distribution of condoms, for greater "education", …. The same arguments have been used time and time again in the 40 years since the 1967 Abortion Act, yet the number of abortions keeps rising (in England and Wales: 163,638 in 1995, 185,375 in 2000, 186,400 in 2005). There are even now demands to make access to abortion even easier, for example by removing the "two doctor" rule.

It's time to stop this killing spree. The complacent attitude to human life needs to be challenged. Abortion should not be promoted as a "back-up" method of birth control. More support must be given to women in difficult situations who want to keep their babies. The beauties of sex only within marriage should be extolled and encouraged.

Wednesday, 7 February 2007

Sea More

An earlier post concerned the Sea in Solomon's temple and the value of pi. That got me thinking about whether we can deduce anything about the shape of the Sea from the further description in 1 Kings 7. This says that the Sea was 5 cubits high and 10 cubits in diameter, and that it held 2000 baths. (Incidentally, 2 Chronicles 4:5 says that it held 3000 baths. This may have been a copyist's error at some point, although there are other possibilities. Perhaps I will post about that another time.)

The immediate problem is that we don't know for sure how cubits and baths map on to the measurements we use today. It seems that there were at least two, possibly more, types of cubit in use in ancient Israel, and different scholars have come up with their own values. A scan of various web sites and the commentaries I have suggests that the length of a cubit could have been anything between about 44.7cm/17.6in and 55.4cm/21.8in. Similarly, various possibilities for the size of a bath have been suggested, ranging from 20.1 litres/4.4 gallons to 48 litres/10.6 gallons.

Assume for the moment that 1 cubit = 48cm. That's about average.

Possible Sea ShapesLet's also assume that the Sea was a cylinder with an internal radius of 4.8 cubits (giving a circumference of about 30.2 cubits) and height 5 cubits. (When these values are rounded to the nearest integer, we obtain the measurements quoted in the text.) The volume of this cylinder is given by the formula πr²h, where r=4.8 and h=5. This comes to about 362 cubits³, which (conveniently!) is about 40.0m³. This would suggest that a bath is about 20 litres, which is at the lower end of the range of possibilities suggested.

Starting from this cylinder, we can generate a couple of other possible shapes with similar volumes. In both cases we have to assume that the writer, rather than rounding to the nearest integer, rounded off at least the circumference to 1 significant digit (i.e. to 30, rather than to 29 or 31, cubits). If we allow the internal radius at the top of the Sea to be 5 cubits, reducing to 4.8 cubits in the middle and 4.5 cubits at the bottom, then we end up with a beaker-shaped vessel with the same volume. The circumference ranges from 31.4 cubits at the top to 28.0 cubits at the bottom.

Finally, it may have been more pot-shaped, with a bulge towards the middle. In the example illustrated, the top and bottom have a radius of 4.83m; this reduces to 4.62 at the neck of the pot and then bulges out to 5.01m in the middle. The circumference of this pot is 29.0 cubits at the narrowest part and 31.5 cubits at the widest.

It seems possible that the Sea could have had any of these three shapes, given the scant knowledge we have of the measurements in use at the time.

In closing, let's consider Josephus's statement that the Sea was a hemisphere: Antiquities of the Jews, 8.3.5. This appears unlikely unless a bath was much smaller than research generally indicates. The volume of a sphere is given by the formula (4/3)πr³. So the volume of a hemisphere with a radius of 4.8 cubits is (2/3)π4.8³, which is about 232 cubic cubits, or about 25.6m³. This would make a bath about 12.8 litres - much smaller than the "minimum" value of 20.1 litres. Indeed Josephus himself said a bath was equal to 72 sextarii (Antiquities of the Jews, 8.2.9) or xestes; this would make it equal to 1 Attic metretes, which is usually taken to be equivalent to 39.4 litres.

Tuesday, 6 February 2007

Teaser 3

What is the next number in this sequence?


4, 2, 3, 4, 6, 2, 4, ...

Hint

What is the next digit in this sequence?


4, 2, 3, 4, 5, 2, 4, ...

Answer

8

Explanation

What has 4 letters, is has 2, the has 3, etc.

Wednesday, 31 January 2007

All at Sea about Pi

The otherwise excellent Penguin Dictionary of Curious and Interesting Numbers states that, “In the Old Testament, 1 Kings 7:23 implies that π is equal to 3”. Since I first read that, I have come across several internet sites that say, either implicitly or explicitly, “The Bible says π = 3, therefore it cannot be trusted.”

1 Kings 7:23-26 describes the Sea in Solomon’s temple that was used by the priests for washing: “He made the Sea of cast metal, circular in shape, measuring ten cubits from rim to rim and five cubits high. It took a line of thirty cubits to measure around it. … It was a handbreadth in thickness, and its rim was like the rim of a cup, like a lily blossom.”

π is the ratio of the circumference to the diameter of a circle. Here the circumference is given as 30 cubits and the diameter as 10. So the ancient Jews must have thought that π = 30/10 = 3, mustn’t they? Well, no … as I shall try to explain.

First, what is described is a very large, thick basin with a kind of lip to it, “like the rim of a cup, like a lily blossom”. It’s about 4½ metres in diameter, and about 8 centimetres thick. It’s not clear whether the rim-to-rim measurement was internal, or if it included the lip, or somewhere between. Similarly, it’s not stated whether the measurement around it included the lip or not. In fact, the “line … around it” may have been measured round the widest part of the Sea—which may not have been around rim at all: it may have bulged below the rim.

Secondly, the measurements here—and elsewhere in the description of the temple—are approximate. In fact, in the 140 or so verses in the Bible that mention cubits, most only ever refer to whole numbers of them. The remaining dozen or so refer to half-cubit measurements, but that’s the smallest fraction ever used. These are not exact measurements taken from the architect’s drawings.

So even if the measurements are both taken as referring to the same part of the rim, all we can confidently say about π from this passage is that it lies somewhere between about 29½/10½ (≈ 2.81) and 30½/9½ (≈ 3.21).

Friday, 19 January 2007

Justice Down Under

It's not so long ago that an Australian court found Pastor Daniel Scot and a colleague guilty of religious vilification after he criticised Islam in a church seminar - even though his criticisms appear to have been calm, reasonable and based on his considerable knowledge and experience. After two years that case has now been thrown out and a retrial has been ordered: Free speech victory for Australian Pastor.

The experience has been frustrating and exhausting for the pastors involved. As the Herald Sun reports (Pastors' toil and trouble), despite winning their appeal, the pastors must still pay half the costs of their challenge. They have been "harassed, threatened, denounced as bigots and flayed in the papers and on the ABC, and are now deep in debt".

The fallout from that case continues, with John Howard, the Australian prime minster now becoming involved. He has been condemned for sending a taped goodwill message to the group to which the two pastors belong: Group won't reveal PM's message and PM moves to defuse hate row.

The press is now reporting that an Australian Muslim cleric, Sheikh Feiz Mohammed, is distributing DVDs that incite jihad. See, for example, the International Herald Tribune and Herald Sun. Sheikh Mohammed is reported as stating that, "We want to have children and offer them as soldiers defending Islam", and of referring to Jews as "pigs".

It will be interesting to see how the Australian authorities deal with these allegations. On the one hand, I trust that he will be judged fairly. On the other, it must be obvious that these accusations are much more serious than those levelled at Daniel Scot.

Monday, 15 January 2007

Driven Mad

According to UK Government statistics, deaths from road accidents are decreasing. For example, in 2002 there were 3,431 deaths of road users in accidents, compared with an annual average figure of 3,578 in 1994-98, and 5,846 in 1981. The number of pedestrians killed each year has fallen steadily since the mid-1990s, although the number of car users killed was little changed over the same period.

Nevertheless, in my experience, driving standards seem to be slipping. For example, in the relatively short distance I walk during my daily commute, I noticed in just one week the following minor infringements:

  • A driver on the phone, his car swaying around a roundabout.
  • A taxi overtaking a queue of cars (including one police car) on the inside.
  • A car overtaking a bus on the pavement.
  • A motorbike turning left from a right-turn only lane (with no indicators).
  • A car turning left at a crossroads across traffic from a right-turn only lane.
  • A driver in a queue leaning on the horn after a red light just changed.
  • A van driver on the phone.
  • A car stopping well past the line at traffic lights.
  • Four cars turning right from a straight-on-or-left-turn lane.
  • A van going through a red light.
Why is this? Here are some possible reasons:

  • People always seem to be in a hurry to get to work, to get to the shops, to get home again...
  • Perhaps it can be put down to general selfishness; maybe there is less regard for others than there should be.
  • There's a less visible police presence now than I remember in the past.
  • Do the police now turn a blind eye to minor infringements anyway?
  • There seems to be less respect for law in general.
  • Perhaps better car design gives drivers a greater sense of security.
  • With roads generally more crowded than in the past, there's probably a temptation to take extra risks just to make progress.
  • Drivers forget that other vehicles contain real, flesh and blood, people.

It certainly wouldn't hurt drivers to remember the so-called Golden Rule as they get into their cars: So in everything, do to others what you would have them do to you …

Saturday, 6 January 2007

Thermodynamics and Evolution

The ID in the United Kingdom blog has an interesting post that includes Andy Macintosh's comments about the laws of thermodynamics and their relevance to the creation/evolution debate. Some argue that the second law of thermodynamics is irrelevant to the creation/evolution debate because the earth is not a closed system; energy is being continually pumped into it by the sun. However, as Andy points out, energy alone is not sufficient to produce new information. Here's an extract from the quote:

The reason of course why this subject of origins will not go away is that there is a scientific case, whether Dawkins likes it or not, which is a challenge to the neo-Darwinian attempts to explain life in terms of common descent. It is a straightforward case of testable science versus the modern evolutionary ‘just-so’ story telling. Scientists like myself who believe in Creation have no problem with natural selection. It is simply the natural equivalent of artificial selection. But natural selection has no power to create new functional structures. It does not increase information and does not build machines which are not there already (either fully developed or in embryonic form).

The principles of thermodynamics even in open systems do not allow a new function using raised free energy levels to be achieved without new machinery. And new machines are not made by simply adding energy to existing machines. This was the point at issue in the programme of Dec 10th. Intelligence is needed.

And this thesis is falsifiable. If anyone was to take an existing chemical machine and produce a different chemical machine which was not there before (either as a sub part or latently coded for in the DNA template) then this argument would have been falsified. No one has ever achieved this.

Teaser 2


This has been one of my favourites for a while…  If you built a monorail around the equator, 1 mile above the ground, how much longer than the earth's circumference would it be?

Answer

2π (that's just over 6¼) miles. (Of course, I've assumed the earth is a perfect sphere.)

Explanation

At first, it looks as though some crucial information is missing: for example, the radius or diameter of the earth. As it happens, though, the answer is the same however big the planet is.

Suppose the radius of the earth is r miles. Then its circumference is 2πr miles.

The radius of the monorail will be r+1 miles, so its circumference is 2π(r+1) miles. This can be expanded to 2πr + 2π miles.

So, the difference between the two circumferences is 2πr + 2π − 2πr, i.e. , miles.

Tuesday, 2 January 2007

The Essentials?

What are the most basic Christian beliefs? If you were describing the Christian faith to someone, what are the most important truths you would want to explain? A few of us discussed these questions recently. We suggested a list of subjects; then each picked the 4 or 5 that we felt were the most important. Here's the final list. The figures give the number of votes each received. I know it's not perfect, but is not bad for a half an hour or so discussion:

9Adam fell (Genesis 3, Romans 5:12)
8Jesus died (Romans 5:8, The Gospels)
7God made us (Genesis 1:27)
7Sacrifice (1 John 4:10, Isaiah 33:10)
7Everlasting life, heaven (Matthew 25:46)
5We need forgiveness (Romans 3:10-12)
5Repentance (Acts 3:19)
5Jesus paid the price - ransom, redemption, rescue (1 Timothy 2:6)
4We sinned (Romans 3:23)
3Jesus was without sin (Isaiah 53:9)
3Hell (Romans 6:23)
3God is holy (Revelation 4:8, Isaiah 6:3)
3Faith (Hebrews 11:1, Acts 16:31)
2The Bible: authoritative, infallible, inerrant (2 Timothy 3:16, Revelation 22:18)
2Resurrection (Romans 6:5, John 20:8-9)
2Jesus was born (Luke 2:6, Matthew 1:25)
2Trust and obey
1God is ... Spirit, love, just, almighty, omnipresent, omnipotent, omniscient, eternal, three in one, infinite, creator
1Justification
1Sanctification
1Adoption
1Jesus is the messiah
1The kingdom of God
1The church, the body of Christ, universal, catholic, victorious
1Prayer
1Mediator
1Judgment day
1Grace not works

Monday, 25 December 2006

Teaser 1

Which of these words is the odd one out?


Bring, Buy, Hide, Seek, Think, Fight

Hint

Think about them happening yesterday


Answer

Hide

Explanation

The past tense of each of the other words in the list ends with -ought (brought, bought, etc.)

Monday, 18 December 2006

Squadrons of Spirits

It's easy to become over-familiar with Christmas carols. Sometimes we can lose sight of the amazing, aweful fact of the incarnation: that the almighty, infinite and eternal God became a man; in history; in space and time.

That's why it was interesting to sing a relatively unknown hymn yesterday: Behold the great creator makes himself a house of clay, by Thomas Pestel. At one point it meditates on the wonder of the angels at what was happening in Bethlehem:

Squadrons of spirits stood and gazed,
Then down in troops they came.

This conjures up an impressive and powerful picture in a striking way.

Thursday, 14 December 2006

Intelligent Design: Not so Stupid

In October, Professor Steve Jones gave a lecture entitled "Why Intelligent Design is Stupid". His notes have been published on the UCL website.

Several flaws in his arguments were posted by James Miller on the GenevaNet discussion list. I think they are worthy of a wider audience:

1. He persistently and very heavily relies on argumentum ad hominem. Anyone who believes in anything different from him is "stupid" (p.1); they are people who believe in "myths" and "magic" (p.1); they are by implication "book burners" - i.e., fascists with all the baggage that entails - and are guilty of "ignorance, idleness and incuriosity" (p.2). And his opponents' arguments are "cunning"; they use "tricks" (p.2) and so on throughout.

2. He argues ad misericordiam - he appeals to pity. He's speaking from "Darwin's bunker" (p1), using under siege imagery. Science is under "active attack" (p.4). This is to gain sympathy from his audience.

3. Despite his bluster, the shoe of arguing ad ignorantiam is actually on his foot. He argues that creationism must be false because it cannot (to his limited empirical knowledge) be proved true. His argument is in effect, "Of course evolution is true; we know of no better scientific theory."

4. He argues ad novitatem. Evolution is a more modern theory than creationism, so it is more likely to be true than ancient theories.

5. He uses logical non sequiturs. Darwin spent 8 years studying barnacles, so the theory of evolution must be true (p.2). George Bush is open to hearing creationist arguments, so creationism must be false (p.1). Birds and bats and squirrels fly by different methods, therefore they can't have been designed (p.8). (Sailing ships, paddle steamers and screw-driven ships cross the sea by different methods, so by that logic they can't have been designed either.)

6. He indulges in circulus in demonstrando - arguing in circles. Evolution is the only possible scientific explanation for life because (for him) only evolution counts as a scientific theory. Later he argues that there's no need to debate creationism simply because evolution is true and there's no need to debate it (p.4).

7. He commits a clear fallacy of composition. Someone who studies a subject knows more about it that someone who doesn't. Darwin studied biology for years and the creationists didn't. So evolution is more likely to be true than creationism.

8. He converts a conditional premise. If evolution is true, then selective breeding of a species would be possible. Selective breeding is possible, therefore evolution is true. A comparative argument: If fairies live in your garden, there will be dew on the grass in the morning. There was dew on my grass this morning; therefore, fairies live in my garden.

9. He repeatedly begs the question. In response to the ID question, "What use is part of eye?" he simply asserts part of an eye is more use than no eye at all (p.3). No it isn't. An eye that doesn't see is no better than no eye that doesn't see! Later he asserts that the fact a Boeing 747 needed a designer proves nothing because birds can fly more efficiently "without a designer" (p.7).

10. He gives us an ad hoc explanation fallacy. A Boeing 747 could have been created by wind blowing through a hangar long enough to randomly assemble the parts, or it could have been designed and built. That much he admits. (In fact, it was designed and built.) But, Jones says, earth could have been created or evolved by chance; however, the only possibility acceptable to science is a random series of events.

11. He appeals to the gallery - argumentum ad populum. George Bush, boo hiss, is open to creationist arguments. So are Islamic terrorists. So you (his audience) shouldn't be open to such nasty arguments.

12. He employs the No true Scotsman fallacy. No Scotsman puts sugar in his porridge. "But I do," says wee Jimmy from Glasgow.  "Ah, but no true Scotsman puts sugar in his porridge." No scientist believes in creationism. But I have a book written by 50 scientists who do believe in it. Ah, well, no true scientist believes in creationism. Ergo - to believe in creationism means you are not a scientist.

13. He uses one or two red herrings to throw anyone critical of his argument off the scent. Instead of dealing with the question for evolutionism, "What use is part of an eye?" - in other words before eyes evolved, how did one blind creature have an advantage over another blind creature in order to survive the natural selection process? - instead of dealing with that, he throws in a red herring: "Why do we need microscopes if the eye was designed?" (Answer: we don't "need" microscopes - ha ha). A comparative argument: “Why do we need houses if skin was designed?”

14. Finally, there are quite a few straw men wandering around Prof. Jones' notes. For example: questioning evolution, which has never been observed and can never be proved, is equivalent to denying 2 + 2 = 4, which no creationist has ever doubted as far as I'm aware.

Tuesday, 12 December 2006

Benford's Law

Start with a group of numbers - say, the lengths of all the rivers in the UK, the numbers mentioned on the front page of a newspaper, or the populations of villages and towns in England. Then take the first digit of each of these numbers. You would probably assume that each of the digits 1 to 9 would appear with equal frequency in the resulting list. (Although that wasn't true of the three people in my family that I asked about this!)

What actually happens is that the digit 1 occurs much more frequently than the others; in fact about 30% of these initial digits will be 1s. 2 appears less often; and so on, down to 9 which accounts for only about 5% of the numbers.

Even more strangely, perhaps, is that these results are "scale invariant": it doesn't matter what units are used in the initial sample. For example, you would see the same results whether your river lengths were in miles or kilometres, or cubits.

In fact, the expected proportion of numbers starting with the digit n is ln(1 + 1/n) / ln(10). There's a pretty good description of how this formula is derived in Plus magazine

I tried it out on a couple of sets of data. Here are the results for the total amounts of all the transactions in my church's accounts in 2005:


A pretty close fit. Even better when the amounts are converted from pounds to euros:


Another example. Here's the results from the numbers of people in each UK area who declared that there religion was Jedi in the 2001 census:


This effect was apparently first noticed in 1881, but the law is named after Frank Benford who stated it in 1938.

Note that you have to pick your data set correctly. The law doesn't apply for truly random numbers, in which each digit has the same probability of occurring first. Nor does it apply when the data set is highly constrained. For example, if the height of hills is defined to be between 300 and 999 feet then certain initial digits are excluded by definition.

Friday, 8 December 2006

God is Just

I've been reading Born Slaves, a summary of Martin Luther's book, The Bondage of the Will, that he published in 1525. This shortened version is published by Grace Publications Trust.

One of the observations he makes is remarkably topical. Here’s the gist ...

LutherIf you use human reason alone to consider the way God rules the world you have to conclude either that there is no God or that he is unjust. Bad people thrive and the good suffer. As Job says at one point, “Those who provoke God are secure” (Job 12:6).

Psalm 73 also picks up on this theme: “... I envied the arrogant when I saw the prosperity of the wicked. They have no struggles; their bodies are healthy and strong. They are free from the burdens common to man; they are not plagued by human ills. ... They say, ‘How can God know? Does the Most High have knowledge?’ This is what the wicked are like — always carefree, they increase in wealth. Surely in vain have I kept my heart pure; in vain have I washed my hands in innocence.”

So, many people deny the existence of God and say everything happens by chance.

The answer is that there is life after this life. Those things that are not punished and repaid here will be punished and repaid there. This life is a preparation for, or, better, a beginning of the life to come.

This issue is debated in every age but is only resolved by believing the gospel as it is found in the Bible.

On that coming day, God will reveal himself as a God who is perfectly and eternally just.