The Scientific Revolution and the Origins of Modern Science: a book review

The Scientific Revolution and the Origins of Modern Science by John Henry

I recently read the 3rd (2008) edition of John Henry’s The Scientific Revolution and the Origins of Modern Science – an excellent, though very brief, survey (it is 114 pages, not including the glossary and index).

Henry tends to see considerable continuity between the “natural magic” of medieval thought and the emerging scientific viewpoint, which was based on experiment and mathematical analysis. Personally, I think that he overstates the case a little. It is interesting that he never mentions Giordano Bruno, who was one of those who held on to the older magical view (then again, Bruno was not a scientist).

Replica of a van Leeuwenhoek microscope (photo: Jeroen Rouwkema)

Henry also puts emphasis on the emerging use of scientific instruments, such as the microscope and the telescope.

Galileo’s sketches of the moon, published in his Sidereus Nuncius of 1610

I was a little disappointed in the discussion of Galileo, which did not seem quite correct, but the main flaw in this book is its brevity. I’m giving it three stars.

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The Scientific Revolution and the Origins of Modern Science by John Henry: 3 stars

Stories of the Past and Future

Inspired by a classic XKCD cartoon, the infographic above shows the year of publication and of setting for several novels, plays, and films.

They fall into four groups. The top (white) section is literature set in our future. The upper grey section contains obsolete predictions – literature (like the book 1984) set in the future when it was written, but now set in our past. The centre grey section contains what XKCD calls “former period pieces” – literature (like Shakespeare’s Richard III) set in the past, but written closer to the setting than to our day. He points out that modern audiences may not realise “which parts were supposed to sound old.” The lower grey section contains literature (like Ivanhoe) set in the more distant past.

The Man Who Knew Infinity: a book review

The Man Who Knew Infinity by Robert Kanigel (1991)

I recently, and somewhat belatedly, read Robert Kanigel’s The Man Who Knew Infinity, a biography of the brilliant Indian mathematician Srinivasa Ramanujan. A partly fictionalised film based on the book was released in 2015 (see Scott Aaronson’s review of the film here).

Whewell’s Court, Trinity College, Cambridge, where Ramanujan lived when he first arrived in England in 1914 (photo: Cmglee)

Ramanujan had one of the greatest mathematical intuitions of all time (he himself credited his insights to the goddess Namagiri). However, his brilliant guesses were as likely to be wrong as right. Furthermore, Ramanujan often neglected formal mathematical proofs, so that the work of separating the many diamonds from the occasional paste was frequently left to collaborators (like G. H. Hardy, who invited Ramanujan to England, and who wrote several joint papers with him). There are still results in Ramanujan’s journals which have neither been proved nor disproved (see this perspective on Ramanujan by Stephen Wolfram).

One of Ramanujan’s formulae for π

Interest in Ramanujan seems to have peaked at around the year 2000, according to Google Ngrams (although this does not include the influence of the recent film):

Google Ngrams search for Ramanujan’s name in books

I found Kanigel’s book a very enjoyable read. There is extensive biographical detail, albeit with a few misquotes, and with apparent confusion at times about the language of a century ago (e.g. the word “cult,” used in a technical sense to mean “a particular system of religious belief,” referring to the Brahmin version of Hinduism which Ramanujan followed). Kanigel does not quite succeed in fitting Ramanujan into a larger context – I would have liked a bit more discussion of Ramanujan by other mathematicians. And I cannot help but wonder what would have happened had illness (probably chronic hepatic amoebiasis, although Kanigel suggests tuberculosis) not killed Ramanujan at the tragically young age of 32. I guess nobody can imagine what further mathematics we might have seen.

See here and here for other reviews of the book.

The Man Who Knew Infinity by Robert Kanigel: 3.5 stars

Colour in literature

The chart below extends my previous colour analysis to an even more mixed collection of books. On the right are books with many descriptive passages involving colour, and thus a high frequency of colour words (calculated without excluding stop words this time). At the top of the chart are books with large colour vocabularies (counting colour words used twice or more). The dots show the most common colour word in each book.

Results are consistent with the fact that the most common colour words in English (in decreasing order of frequency) are black, white, red, green, blue, yellow, brown, grey, pink, orange, and purple. However, Anne of Green Gables and The Wonderful Wizard of Oz have “green” as the most common word for plot-related reasons, while The Blue Castle by L.M. Montgomery has, not surprisingly, “blue.” The Merry Adventures of Robin Hood by Howard Pyle has “scarlet,” some uses of which are as the name “Will Scarlet.” Twenty Thousand Leagues Under the Sea I have already discussed.

Colour in children’s novels

Following up on the children’s literature theme again, here is an analysis of colour words in three quite different books:

About 0.57% of the words in Twenty Thousand Leagues Under the Sea (after excluding stop words) are colour words, with a wide variety being used (“the finback whale, yellowish brown, the swiftest of all cetaceans” and “Portuguese men-of-war that let their ultramarine tentacles drift in their wakes, medusas whose milky white or dainty pink parasols were festooned with azure tassels”):

In contrast, Five Go Adventuring Again only has about 0.25% colour words, mostly used in clichéd ways (“Anne went very red” and “her blue eyes glinting”). The one use of “scarlet” refers to “scarlet fever,” rather than to a colour:

The Wonderful Wizard of Oz mentions colour even more than the other two books, with about 1.21% colour words. Green and yellow are particularly common, given the storyline:

On children’s novels

Having previously mentioned children’s fantasy literature, I thought I might follow up the theme a little more. In one kind of children’s novel, a group of child protagonists resolve some serious dilemma with little or no adult assistance (generally, the plot involves adventure of some kind). Such a story prompts the child reader to ask: “How would I handle a problem like that?” Of course, such a story also requires a reason for the lack of adult help. There appear to be four main possibilities, which I list below. Can my readers think of any others?

1: Complicit Adults

One common reason for the children to act independently is that the adults are complicit in an evil that the protagonists struggle against. A classic example is The White Mountains by John Christopher (1967). Thirteen-year-old Will is looking forward to his coming-of-age ceremony, until he discovers that this involves a mind-control device being implanted in his brain by the aliens who control the Earth. This kind of novel inevitably focuses on escape – in Will’s case, a dramatic journey on foot from England to the “White Mountains” of the title.

The White Mountains by John Christopher (1967).

2: The Desert Island

Another option involves stranding the protagonists in a location without helpful adults. The journey to this location can be undertaken through either physical or magical means, and the focus of the novel is on achieving some goal(s) and then returning home. A famous example is The Wonderful Wizard of Oz by L. Frank Baum (1900).

The Wonderful Wizard of Oz by L. Frank Baum (1900).

The “desert island” option can be combined with option #1 – that is, there are adults on the island, but they are pirates (or evil in some other way). An example would be the planet Camazotz in A Wrinkle in Time by Madeleine L’Engle (1963).

A Wrinkle in Time by Madeleine L’Engle (1963).

3: The Unbelievable Story

Another way of ruling out adult help is by making the dilemma completely unbelievable, as in Something Wicked This Way Comes by Ray Bradbury (1962). “‘The Chief of Police,’ Will said. ‘He’d listen to us—’ ‘Yeah,’ said Jim. ‘He’d wake just long enough to send for the butterfly net. Hell, William, hell, even I don’t believe what’s happened the last twenty-four hours.’

Something Wicked This Way Comes by Ray Bradbury (1962).

A somewhat less satisfactory variation of this option is simply to make the adults too busy to pay attention. Alternatively, the “unbelievable story” option can be combined with the first two. For example, The Lion, the Witch and the Wardrobe by C.S. Lewis (1950) combines elements of all three options.

The Lion, the Witch and the Wardrobe by C.S. Lewis (1950).

4: The All-Out War

Finally, the dilemma can involve a conflict which is so serious that it forces the recruitment of what are essentially child soldiers. The City of Gold and Lead (John Christopher, 1968) and The Pool of Fire (John Christopher, 1968), the sequels to The White Mountains, are two examples.

The City of Gold and Lead by John Christopher (1968).

Other examples of this option include Ender’s Game (Orson Scott Card, 1985) and Tomorrow, When the War Began (John Marsden, 1993).

Ender’s Game by Orson Scott Card (1985).

Of course, there are many other kinds of children’s literature, and protagonists may also be adults, talking animals, hobbits, or other creatures. But exploring those is out of scope for this post, which is already an odd one for a science blog.

Art Forms in Nature: a book review

Art Forms in Nature by Ernst Haeckel

I finally got my own copy of the classic Art Forms in Nature (Kunstformen der Natur) by Ernst Haeckel. Yes, the prints are all online, but that isn’t quite the same thing. This collection of 100 prints, first published as a set in 1904, is a true classic.


Is it an art book or a science book? It doesn’t really matter, does it? It’s beautiful, and it’s informative. Everyone should cast their eyes over these pictures at some point. These images influenced the Art Nouveau movement, and have also found their way into many books on the relationship between mathematics and science. And they are just fun to peruse.

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Art Forms in Nature by Ernst Haeckel: 5 stars