Category Archives: question and answer

Concerning the logic of question and answer described in An Autobiography

Anthropology of Mathematics

This essay was long when originally published; now, on November 30, 2019, I have made it longer, in an attempt to clarify some points.

The essay begins with two brief quotations, from Collingwood and Pirsig respectively, about what it takes to know people.

  • The Pirsig quote is from Lila, which is somewhat interesting as a novel, but naive about metaphysics; it might have benefited from an understanding of Collingwood’s Essay on Metaphysics.

  • A recent article by Ray Monk in Prospect seems to justify my interest in Collingwood; eventually I have a look at the article.

Ideas that come up along the way include the following.

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Writing, Typography, and Nature

Note added February 10, 2019: I return to this rambling essay, two years later in the Math Village. The main points are as follows.

  • Writing is of value, even if you never again read what you write.
  • There is also value to reading again, as in the present case.
  • A referee rejected a submitted article of mine in the history of mathematics because its order did not make sense—to that referee, though a fellow mathematician thought well of the article. A revision was eventually published as “On Commensurability and Symmetry.”
  • In the preface to The Elements of Typographical Style, Robert Bringhurst wonders how he can write a rulebook when we are all free to be different. He thus sets up an antithesis, such as I would investigate later in “Antitheses.”
  • From being simply a means of copying, typography has become a means of expression.
  • Yet typography should not draw attention to itself, just as, according to Fowler in A Dictionary of Modern English Usage, pronunciation (notably of foreign words) should not.
  • Through my own experience of typography with LaTeX [and HTML, as in this blog], I have developed some opinions differing from some others’.
  • Bringhurst samples Thoreau,
    • whose ridicule of letters sent by post applies today to electronic media, and
    • who rightly bemoans how enjoying the woods is thought idle; cutting them down, productive.
  • In Gödel, Escher, Bach, Douglas Hofstadter wonders how a message can be recognized by any intelligence. Bringhurst restricts the question to concern intelligences on this earth.
  • In my youth, Hofstadter introduced me to Zen Flesh, Zen Bones, (edited by Reps and Senzaki), whose influence on me I consider.
  • The Zen story about whether “this very mind is Buddha” suggests a further development of Collingwood’s “logic of question and answer.”
  • Through looking at another translation, I consider how Reps and Senzaki turned Chinese into English.
  • Rereading this blog led me back to Hofstadter.

Here are some meditations on some books read during a stay in the Nesin Mathematics Village, January, 2017. I originally posted this article from the Village; now, back in Istanbul, a few days into February, recovering from the flu that I started coming down with in the Village, I am correcting some errors and trying to clarify some obscurities.

Nesin Mathematics Village from the east, Wednesday, January 18, 2017
Nesin Mathematics Village from the east
Wednesday, January 18, 2017

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NL VI: “Language”

Index to this series

This is about the first section of Chapter VI, “Language,” of The New Leviathan. The whole chapter can be ana­lyzed into five sections, with §N consisting of those paragraphs numbered 6. N or 6. NX. I summarize the sections as follows:

  1. Language is an abstraction from discourse. Discourse is an activity together with what is meant by it. (¶¶6. 1–19)
  2. Through language, we become conscious of our feelings. Becoming conscious of our language is another step, which is taken by artists. (¶¶6. 2–29)
  3. A feeling is not “mediated” by the language we use for it. (¶¶6. 3–36)
  4. Hobbes discovered that language is prior to knowledge. (¶¶6. 4–47)
  5. Those who dispute this finding over­look that not all language is rational. (¶¶6. 5–59)

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Books hung out with

The following are some books that I have read more times than I can remember. I list them in order of publication, though my first readings of them came in the opposite order:

  1. R. G. Collingwood, The Principles of Art (1938);
  2. Somerset Maugham, The Razor’s Edge (1944);
  3. Robert M. Pirsig, Zen and the Art of Motorcycle Maintenance (1974).

I want to say some things about all of these books, and their writers. I intend especially to address the last book, which I shall call ZAMM. Continue reading