**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.