Category Archives: Philosophy

Sex and Gender

A certain thesis is reasonable to me, and yet it would seem to anger persons whom I wish to respect. I am trying to understand why it does.

The hypothesis of the homunculus in the sperm
by Nicolaas Hartsoeker, 1695

Perhaps the manner of expression of the thesis is the problem. Thus one person tweets:

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On the Odyssey, Book I

  • In reading his rendition of the Iliad, having enjoyed hearing Chapman speak out loud and bold;

  • having enjoyed writing here about each book, particularly the last ten books in ten days on an Aegean beach in September of this year (2019);

  • having taken the name of this blog from the first line of the Odyssey;

  • having obtained, from Homer Books here in Istanbul, Emily Wilson’s recent translation (New York: Norton, 2018);

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Computer Recovery

Part of this post is a laboratory notebook. I record how I fixed my computer, because

  • I am pleased to have been able to do it, and

  • I may have to do it again.

Briefly, when Windows on my laptop failed, I installed Ubuntu, but this failed. Somebody else installed Ubuntu again, and this worked for a while before failing. I managed to fix that problem for myself; but later an upgrade failed. Now I have fixed that. Computer on table by window at dawn

I am recording further issues in an addendum.

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On the Idea of History

Note added, March 10–11, 2021. The bulk of this post concerns race in the theory of history, particularly the theory attributed to Johann Gottfried Herder (1744–1803). Not having read Herder for myself, I rely on the accounts of

  • R. G. Collingwood in § 2, “Herder,” of Part III of The Idea of History (1946),
  • Michael Forster in “Johann Gottfried von Herder,” Stanford Encyclopedia of Philosophy (summer 2019).

Somebody like Herder may introduce race as an hypothesis to explain history, but ultimately the hypothesis fails, by denying us the freedom that is essential to history as such. Nonetheless, Forster defends Herder as having

an impartial concern for all human beings … Herder does also insist on respecting, preserving, and advancing national groupings. However, this is entirely unalarming,

because, for one thing, “The ‘nation’ in question is not racial but linguistic and cultural.”

Change Collingwood’s word “race” to “linguistic and cultural grouping” then. I think his conclusion remains sound: “Once Herder’s theory of race is accepted, there is no escaping the Nazi marriage laws.”

More detail is in the post below. I go on to review the philosophy of history that Collingwood presents in the Introduction of The Idea of History. This book provided me with a title for the post.

I wrote a lot in this post, as I often do. Growing self-conscious for being opinionated about the theory of history, I listed the published evidence of my actually being an historian (an historian of ancient Greek mathematics in particular).

I originally wrote that my research had been inspired by a tweet. The author of that tweet also wrote the nice long comment on this post. However, although the tweet can be found on the Internet Archive, the author later deleted his Twitter account, and so the tweet appears on Twitter today as a gap in the thread above my own tweet in response to the other tweet.

That missing tweet referred to another tweet of the author, but the Internet Archive seems not to have saved it. It did save the present post; so if one were curious, one could see the changes that I have made since initial publication, or rather since September 29, 2020, when the Archive took the first snapshot.

The changes are for style and local clarity. Any large-scale changes would need me to recover the spirit that possessed me when I originally wrote.

I return to this post now, simply because a friend mentioned reading Middlemarch, and I remembered quoting George Eliot’s novel in a blog post, and that post turned out to be this one.

Had somebody mentioned reading Herder, I might have recalled writing about him in a blog post; that would be this post too.


Our environment may influence our feelings, but what we make of those feelings is up to us. Thus we are free; we are not constrained by some fixed “human nature”—or if we are, who is to say what its limits are?


Rembrandt van Rijn (and Workshop?), Dutch, 1606–1669,
The Apostle Paul, c. 1657, oil on canvas,
Widener Collection, National Gallery of Art

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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.

  1. For C. S. Lewis, the reality of moral truth shows there is something beyond the scope of natural science.

  2. I say the same for mathematical truth.

  3. Truths we learn as children are open to question. In their educational childhoods, mathematicians have often learned wrongly the techniques of induction and recursion.

  4. The philosophical thesis of physicalism is of doubtful value.

  5. Mathematicians and philosophers who ape them (as in a particular definition of physicalism) use “iff” needlessly.

  6. A pair of mathematicians who use “iff” needlessly seem also to misunderstand induction and recursion.

  7. Their work is nonetheless admirable, like the famous expression of universal equality by the slave-driving Thomas Jefferson.

  8. Mathematical truth is discovered and confirmed by thought.

  9. Truth is a product of every kind of science; it is not an object of natural science.

  10. The distinction between thinking and feeling is a theme of Collingwood.

  11. In particular, thought is self-critical: it judges whether itself is going well.

  12. Students of mathematics must learn their right to judge what is correct, along with their responsibility to reach agreement with others about what is correct. I say this.

  13. Students of English must learn not only to judge their own work, but even that they can judge it. Pirsig says this.

  14. For Monk, Collingwood’s demise has meant Ryle’s rise: unfortunately so since, for one thing, Ryle has no interest in the past.

  15. In a metaphor developed by Matthew Arnold, Collingwood and Pirsig are two of my touchstones.

  16. Thoreau is another. He affects indifference to the past, but his real views are more subtle.

  17. According to Monk, Collingwood could have been a professional violinist; Ryle had “no ear for tunes.”

  18. For Collingwood, Victoria’s memorial to Albert was hideous; for Pirsig, Victorian America was the same.

  19. Again according to Monk, some persons might mistake Collingwood for Wittgenstein.

  20. My method of gathering together ideas, as outlined above, resembles Pirsig’s method, described in Lila, of collecting ideas on index cards.

  21. Our problems are not vague, but precise.


When Donald Trump won the 2016 U.S. Presidential election, which opinion polls had said he would lose, I wrote a post here called “How To Learn about People.” I thought for example that just calling people up and asking whom they would vote for was not a great way to learn about them, even if all you wanted to know was whom they would vote for. Why should people tell you the truth?

Saturn eclipse mosaic from Cassini

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On Translation

Achilles is found singing to a lyre, in a passage of Book IX of the Iliad. Homer sets the scene in five dactylic hexameters; George Chapman translates them into four couplets of fourteeners.

I wrote a post about each book of the Iliad, in Chapman’s version of 1611. As I said at the end, I look forward to reading Emily Wilson’s version. Meanwhile, here I examine the vignette of the lyre in several existing English translations, as well as in the original.

Three books mentioned in the text Continue reading

On Chapman’s Homer’s Iliad, Book XVIII

I analyze Book XVIII of the Iliad into seven scenes.

Branches against sky

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On Chapman’s Homer’s Iliad, Book XV

After a year, I return to reading the Iliad on the Asian mainland of Turkey. I am opposite Lesbos, south of Mount Ida, where in the last episode, Juno seduced Jove, so that he would not see Neptune’s interference on behalf of the Greeks, in the war down at Troy.

We were here in Altınova (in the province of Balıkesir) in July, but my mind then was on mathematics, including mathematics coming out of my April post here, “Elliptical Affinity.” I went on to speak of this mathematics in two other countries, one of these the homeland of Medea. In the other country, I was moved to write a post concerning the book I had already blogged a lot about. Now Ayşe and other Peace Academics are being cleared of charges, our fall semester does not begin till October, and we can spend time at the beach.

The silhouette of this edifice is roughly triangular. The floor plan is a nonconvex polygon, but above the walls is a smaller cylinder with a conical roof
Twelve Apostles, a former Armenian church, now a mosque, in Kars

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A Final Statement

This concludes the series that began with “An Indictment” and continued with “A Defense.”

Ayşe and Meriç her lawyer

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Math, Maugham, and Man

Note added, August 28, 2023. The main purpose of this post of September 1, 2019, seems to have been to assemble some information about the etymologies of “man” and “woman,” because of ongoing controversy about what the words even mean today. I started to take up the controversy itself on December 30 of that year, in “Sex and Gender.” Meanwhile, this post suggests, or points out:

  • a generic “person” may still be male in people’s minds;
  • becoming a woman may be like becoming Jewish;
  • there are no gendered pronouns in Turkish;
  • the series freshman, sophomore, junior, senior is like pinkie, ring finger, middle finger;
  • Greek does not have such an interesting series for the fingers;
  • Greek mathematics includes Thales’s Theorem and Pappus’s Hexagon Theorem.

There does not seem to be any connection between the mathematics and the etymology here, except that I was studying both at the same time. I must have been reading The Razor’s Edge too, where Maugham

  • places himself in a tradition founded by Herodotus;
  • uses “he/him” for for somebody who can be a woman as well as a man.

More themes I took up:

  • what it means to be natural;
  • that I don’t consider myself ADHD;
  • the etymology of “squirrel”;
  • the Etymological Fallacy.

A dog lying in the shade of a beach umbrella looks at us; behind him are a woman and a man sitting facing away from us, towards the sea
Woman, man, and dog
Friday, August 18, 2023
Altınova, Balıkesir, Türkiye

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