Assignments

August 29

• If you are interested in this seminar, come to the first meeting, or contact either Jeremy Avigad (avigad@cmu.edu) or Ken Manders (mandersk+@pitt.edu).

September 12

• Read the excerpts from Husserl's Philosophy of Arithmetic on the Bibliography page
• Read the excerpts from the prolegomena and introduction to Husserl's Logical Investigations I, II
• Take a look at the secondary sources on Husserl
I, II, III
• We still need to post background reading on algebra
• We still need to post reading on Galois theory

September 19

Kant: required

• Critique, B introduction
• Critique, Transcendental doctrine of method, discipline of pure reason in dogmatic use
• Shabel's Companion article
• As much of the Friedman and Parsons readings as time allows

Kant: suggested

• Critique, Transcendental aesthetic (especially space)
• Prolegomena, How is pure mathematics possible?
• Critique, On the schematism of the pure concepts of understanding
• Shabel, "Kant on the 'Symbolic Construction' of Mathematical Concepts"

Galois theory:

• Kiernan, pages 40-56 and 64-71, on I and II
• Abel's summary: statements of theorems 1-3

September 26

• Read the first excerpt from Artin's Galois Theory.
• Read as much of Jukka Keranen's thesis as you can (and the table of contents).

October 3

Galois theory

• Review the first excerpt from Artin's Galois Theory
• If you want to read ahead, start on the second excerpt

Husserl

• Review the excerpts from Philosophy of Arithmetic and LI from September 12
• Read the excerpts from the first and sixth investigations
• Read McIntyre, "Husserl and Frege"
• Read McIntyre and Smith, "Husserl's identification of meaning and noema"
• Though we will not discuss this on October 3, McIntyre's "Husserl and the Representational Theory of Mind" is interesting and worth taking a look.

October 10

• Review Husserl, especially the excerpts from the first and sixth logical investigations
• Review Kant
• Review Galois theory

October 17

• Review Husserl's theory of meaning in the first and sixth logical investigations
• Review Galois theory

October 24

• Continue to review Galois theory and Husserl
• Take a look at the excerpts from Edwards's book on Galois theory: pdf, pdf, pdf.

October 31

• Continue to read Galois
• Read the excerpts from Wittgenstein's Remarks on the Founations of Mathematics. Part VI: pdf. Part VII: pdf.

November 7

• Continue to read Galois / Edwards
• Continue to read Wittgenstein

November 14

• Continue to read Galois / Edwards
• Continue to read Wittgenstein (see also additional references on the bibliography)

November 21

• Read Kiernan, Sections 15 and 16 (pages 125-141): pdf
• Read Avigad's paper on Dedekind; especially Section 3, and pages 12-23. pdf.
• If you can read German, take a look at Dedekind's presentation of field theory: pdf.

November 28

• Continue reading about Dedekind

December 5

• Continue reading about Dedekind
• Take a look at Avigad, Mathematical Method and Proof: pdf.