Philosophy 405: Seminar in Epistemology: Knowledge, Truth and Mathematics

Russell Marcus, Instructor. Email me.

Hamilton College, Spring 2008

 

Many of the files on the site are in pdf format. Download the latest version of the free pdf reader.

All of the photos below are links. Try them!

Plato

Euclid

Newton

Locke

Berkeley

Mill

Dedekind

Russell

Bernays

Heyting

Wittgenstein

Gödel

Grice

Turing

Shapiro

Benacerraf

Kripke

Katz

Balaguer

Burgess

Brown

Aristotle

Descartes

Leibniz

Hume

Kant

Cantor

Frege

Hilbert

Carnap

Brouwer

Ayer

Quine

Strawson

Dummett

Resnik

Field

Bonjour

Putnam

Lewis

Rosen

Maddy

 

Course Material

Syllabus

Class Notes

Readings

EReserve

Handouts

Reading Guides

Assignments

 

Links to Sites I Recommend for This Course

(This list will be extended through the term. The order of the links roughly follows the order of the syllabus.)

John Bell on Philosophy of Mathematics

Jeremy Avigad on Philosophy of Mathematics

Carl Posy's Philosophy of Mathematics lecture notes

Plato's Divided Line

Plato's Cave

Jonathan Lear on Aristotle's Mathematics

Euclid's Elements

Galileo and Relativity

Descartes's Fifth Meditation, and all of Descartes's Meditations

Descartes's Principles of Philosophy

Leibniz on First Truths

Locke's Essay

The Dedekind/Peano Axioms

Chomsky, his position, a discussion of innateness and the poverty of the stimulus argument, and an argument against the poverty of the stimulus argument

Fiona Cowie on Chomsky and Innateness, from the SEP

David Chalmers, on the connection between conceivability and possibility

Modal Epistemology, on conceivability and possibility

Readings and Questions for Frege's Grundlagen

Logicism Reconsidered, by Agustin Rayo

Hilbert's 23 Problems

A Film About the Hilbert Problems

Hilbert's Lament: Livin' in Cantor's Paradise

Three-Valued Logics

Wittgenstein's Private Language Argument and some supporting selections from the Philosophical Investigations that I organized for another course.

Gödel on the net

Torkel Franzén's website, including his dissertation, excerpts from his book on incompleteness, and a book about inexhaustibility

Peter Suber on Lowenheim-Skolem

On Kripke, on Wittgenstein

Here's the Sandia report on how to deter human intrusion on the nuclear waste repository. See especially pp 150 et seq. and 262 et seq. Also, here is the DOE report; see pp 29 et seq.

Quine pages, maintained by his son

The "On What There Is" Quiz

On the Kepler Conjecture, eventually solved with the help of computers

Mark McEvoy's Philosophy of Mathematics Review Grid

 



Links to Mathematics and Philosophy of Mathematics Blogs and Sites

The Mathematics Genealogy Project

Randomness

Peter Smith's Logic Blog

Antimeta: Kenny Easwaren's Philosophy of Mathematics Blog

Richard Zach's logic blog

Do philosophers have math envy?

The n-Category Cafe: a blog on mathematics, physics, and philosophy

The Curtate Cycloid, the Cyloid, and the Prolate Cycloid

A Neat Geometry Video: Outside In

 

Other Philosophy Links

Stanford Encyclopedia of Philosophy

The Routledge Encyclopedia of Philosophy

The Philosophy Research Network, home to philosophy papers in progress

The Science of Scientific Writing

Eddie Yeghiayan's Philosophy Bibliographies

Online papers in philosophy

A list of journals and conferences appropriate for undergraduates

Philosophy Dictionary

Brian Leiter's Philosophy Blog

Thoughts, Arguments and Rants, Brian Weatherson's Philosophy Blog

The American Philosophical Association

Philosophy Videos

TED, a Collection of Interesting Videos

 

Fun

Zoom Quilt

Ted Rall's Website

XKCD

Buffy the Vampire Slayer and Philosophy

If the IRS had discovered the quadratic formula

The Sarong Theorem Archive

Inattention Blindness

Optical Illusions

The Gutless Meanies, with guest stars, Minstrel!