This directory has the following sections.
The links in the sections are sometimes to posts of this blog, but mostly to pages and media (especially pdf files).
Posts, pages, and media are what this blog has, because it uses the WordPress.org content management system, by virtue of being hosted by WordPress.com. You are now reading a post, as you can tell from its having an initial publication date both in its address and somewhere at the end of its body. The contents of any post can always be edited. I shall be editing this post in order to make available, or highlight, pages, verbal media (namely pdf files) and some series and categories of posts.
In principle, all of my posts can be seen at polytropy.com, in reverse chronological order. I have them listed in forward order, by year, on my About page. As I explain there, I try to keep track of posts with tags and categories. Moreover, if one post revisits a theme of another post, I try to link to that post. Every post is supposed to show automatically (at the bottom) which other posts are linked to it.
I have expressed the dream, never to be realized, to have all of my ideas as well-organized as in Wittgenstein’s Tractatus Logico-Philosophicus.
I don’t know how the random visitor can find my pages, although search engines find at least some of them. Much less do I know how one would find my media, although the media allowed by WordPress now include pdf files. I have uploaded a number of these, and created a number of pages.
It would be possible to have all top-level pages included automatically in the menu which now forms a horizontal list at the top of each post and page.
The directory proper now begins.
Prose
Poetry
Poetry, in the broad etymological sense of something made; call it conceptual art, or whatever you like, but it’s all referred to in the post “Discrete Logarithms”:
Mathematics
For Courses, see also below. Most of my mathematics is somewhere on my deparmental website, but the Covid-19 Pandemic restricted my access for a while. Here on the blog are some things I have written, perhaps only for my own amusement.
- “Pappus ve Desargues” (Turkish; December 31, 2020; A6 paper, landscape orientation, 17 pages): a derivation from Book I of Euclid’s Elements of the parallel cases of the theorems named for Pappus and Desargues
- “Theories of Action” (39 pages, size A6, landscape orientation: “slides,” for a talk given remotely at the Istanbul Mathematical Sciences Center, January 10, 2022; I included quotes from Pirsig, Feynman, and others, as well as from model-theorists about our subject; I seem to have saved the same document under a different name)
- Log (2018 version) of a math history course given in Ankara, 2009–10
- “Construction of Points of an Ellipse” (A1 poster discussed in “Points of an Ellipse”)
- “Cartesianism” (the
pdf file described in “An Exercise in Analytic Geometry”)
- A proof of Dirichlet’s theorem on primes in arithmetic progressions, in
pdf and html format (as discussed in “LaTeX to HTML”)
- “Classification of regular polytopes” (
pdf file)
- “A Construction of the Regular Heptakaidecagon” (mentioned in “Rethinking,” A6 paper, landscape orientation:
- “Prime Numbers”: notes (A5 paper, portrait orientation) from two versions of a course on the Prime Number Theorem, given at the Nesin Mathematics Village in
Categories
Pages describing (as well as listing) categories of posts
Series
There are series of posts about (and sometimes including the texts of) particular works of prose and poetry. I could make each series into a category, but so far I have not. One post in the series may serve as an index, or else a page may serve.
- Collingwood, The New Leviathan (January 2014 to February 2019)
- Homer
- Iliad
- Odyssey (begun November, 2019)
- Pascal, Pensées (all of them; February 16 to June 8, 2021)
- Chaucer, Canterbury Tales (a selection; July 5 to September 14, 2021)
- Plato, Republic (August 15 to December 13, 2021, with some follow-up posts)
- Hannah Arendt, The Human Condition (February to April, 2022)
- Aristotle, Nicomachean Ethics (July 30, 2023 to June 14, 2024)
- C. F. von Weizsäcker, The Relevance of Science (started December 9, 2024)
Courses
For my courses, I normally prepare pages on my department’s server. Since I could not access that server from home for the first part of the Covid-19 Pandemic, I used this blog for the following.
- Şirince 2021, for the two courses I was going to give, on infinitesimal or nonstandard analysis and the foundations of geometry; there are links to my own notes:
- Geometriler (“Geometries,” namely projective and hyperbolic, based on Pappus and Lobachevski, spring 2022)
- Kümeler Kuramı (“Set theory,” including my attempts to summarize in
html the contents of a course in axiomatic set theory for which I have also written a full text in LaTeX. For the summary of fall 2019, I had not yet discovered the usefulness of pandoc as described in “LaTeX to HTML”)
- Analitik Geometri Özeti (“summary of analytic geometry,” for a course in spring 2020; as the Covid-19 lockdown took hold, the page just became the course page)
- Ordinal Analiz (“ordinal analysis,” that is, set theory with emphasis on the ordinals as a structure analogous to the linearly ordered set of real numbers studied in so-called real analysis; the post “Ordinals” also takes up the analogy; I made the page for a course in Şirince, in case I wanted to change the page while I was there, though in the event I didn’t; notes from the second week, in English, are on a departmental page, along with the syllabus for a summer course in 2020 that was cancelled)
- Öklid (Resources for the course Öklid geometrisine giriş, “introduction to Euclidean geometry,” fall 2020)
- Topoloji (homepage for a graduate topology course, fall 2020, with links to weekly notes in English. The notes are mostly in
pdf format, for A6 paper in landscape orientation; but one week I used html)
- Ayşe Berkman’ın yedek sayfasıdır (for her spring 2020 course during the lockdown)
Writing of others
Sometimes annotated by me:
- Marshall Blonsky, “Designer Apt W/’90s Pt of Vu,” Annotation, Harper’s, June, 1992. Used now in “Found Poetry”
- Charlotte Brontë, Villette, quotations and commentary, used for “Miracles”:
- Kenneth Gale Crawford (my maternal grandfather), The Crawford Saga: For the Information of Progeny and Progeny’s Progeny.
- R. G. Collingwood
- John Donne, “The Undertaking” (to accompany the post that I wrote about it)
- Adam Garfinkle, “The Erosion of Deep Literacy” (referred to in “Reading shallow and deep”)
- John Goldthwaite, pages on C. S. Lewis and Narnia from The Natural History of Make-Believe (referred to in “Return to Narnia”)
- Euphemia Lofton Haynes, “Mathematics—Symbolic Logic” (supporting “What Mathematics Is”)
- Homer, Iliad (some of the books, in Chapman’s translation, to go with my commentaries on this)
- Somerset Maugham, “Romance,” from On a Chinese Screen (accompanying my own “Romance” and showing how Maugham plagiarized Herbert Giles)
- Plutarch, “Life of Timoleon”
- Poetry sent me in a lockdown “poem exchange”
- Raymond Smullyan, “Is God a Taoist?”
- Papers about Thoreau, mentioned near the beginning of the post “Feminist Epistemology” of January, 2021:
- Laura Dassow Walls, “Walden as Feminist Manifesto,” 1993. 8 pages
- Alice de Montigny, “I Discover Thoreau,” 1992. 3 pages
- Arnold Toynbee, “A Turning Point in History” (referred to in “What It Takes”)
- Herman Wouk on psychoanalysis (Chapter 42, “A Game of Ping-pong,” of Marjorie Morningstar)
Updated December 17 and 18, 2024