Tag Archives: Paul Piazza

On Homer’s Iliad Book II

As I proposed last time, Achilles performs the greatest act in the Iliad by not killing Agamemnon in Book I. He then takes himself out of the action for a while. We are not going to see him again till Book IX, when he receives the embassy of Phoenix, Ajax, and Odysseus (chosen by Nestor in lines 168–9).

Benches and bare tree on wet concrete wharf by the Bosphorus under a cloudy sky
Kireçburnu, Sarıyer, Istanbul
Wednesday, November 30, 2022

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On Plato’s Republic, 5

Index to this series

Our fifth scheduled reading in the Republic is Book IV (Stephanus pages 419–45). Socrates speaks

  • with Adeimantus, through the completion of the construction of the city in speech;
  • with Glaucon, after he insists (427d) that Socrates join in the search for justice in the city; they find it and map it back to the individual.

Three dogs sit in the shade of a beach umbrella
Intellect, spirit, and appetite
Profesörler Sitesi, Altınova, Balıkesir, Turkey
September 13, 2021

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Donne’s Undertaking

I was recently called on to recommend a poem. I chose “The Undertaking” of John Donne. I want to say here why.

  • The poem (quoted below) has a sound that impressed me when first I read it, more than thirty years ago.

  • The poem alludes to ideals:

    • of recognizing what is good for its own sake;

    • of climbing a rung or two on Diotima’s ladder or stairway of love, recounted by Socrates in Plato’s Symposium (211c):

      And the true order of going, or being led by another, to the things of love (τὰ ἐρωτικά), is to begin from the beauties of earth and mount upwards for the sake of that other beauty, using these as steps (οἳ ἐπαναβαθμοί) only, and from one going on to two, and from two to all fair forms (τὰ καλὰ σώματα), and from fair forms to fair practices (τὰ καλὰ ἐπιτηδεύματα), and from fair practices to fair notions (τὰ καλὰ μαθήματα), until from fair notions he arrives at the notion of absolute beauty, and at last knows what the essence of beauty is (ὃ ἔστι καλόν).

  • The sound of Donne’s poem may seduce one into thinking the ideals worthy.

Analytic Geometry and Donne's complete poetry

Two books that were my mother’s

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The Point of Teaching Mathematics

This essay was provoked in part by a New York Times opinion piece by Andew Hacker (July 28, 2012) called “Is Algebra Necessary?” (the suggested answer being No):

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