Here are some links to web-pages which contain material related to the course. If you find other links that you think should appear here, too, just tell me!

Pages on this site:


Early history of mankind:

  • The cave of Lascaux. About 30000 year old paintings and drawings. Great website!
  • More pictures from Lascaux. Also links.
  • Newgrange, Ireland. Built around 3,200 BC.
  • Newgrange, Ireland. More pictures.
  • Stone Pages. Pictures and descriptions of neolithic stone circles, dolmens, standing stones, cairns, barrows and hillforts in Europe.
  • Neolithic Carved Stone Polyhedra. Believed to date to around 2000 BC, found in Scotland.
  • Jeff Miller's pages on the earliest known uses of ...
  • some of the words of mathematics, and
  • various mathematical symbols are very interesting.
  • If you're interested in the history of mathematics in general, see
  • David Wilkins' pages on the History of Mathematics. It has tons of links!
  • Anne Boye's account of the History of negative numbers.
  • What is mathematics, anyway?
  • 2000 Mathematics Subject Classification
  • A gentle introduction to the Mathematics Subject Classification Scheme by Dave Rusin
  • Biographies of mathematicians (and much more):
  • The MacTutor History of Mathematics archive
  • Philosophers:
  • Here is Raphael's painting The School of Athens. Do you recognize all the philosophers in it?
  • Axiomatic systems:
  • Euclid's Elements, very fun, with moving diagrams!
  • Spinoza's Ethics. You don't believe it, unless you see it.
  • Deductive validity:
  • Here's a nice explanation using a thermos.
  • Proofs and arguments:
  • Jim Morey's interactive proof of the Theorem of Pythagoras
  • More proofs of the Theorem of Pythagoras. Has also an explanation of the oldest known proof, dating to around 1000 BC.
  • Short explanation and discussion of Descartes' ontological argument for the existence of God.
  • How to detect and avoid
  • logical fallacies. (Thanks to Jim Li for this link).
  • If you want to know more about set of numbers and their cardinalities:
  • What is... "How many?" About different sets of numbers.
  • You can't get there from here! About different infinite cardinalites.
  • Peter Suber's A Crash Course in the Mathematics Of Infinite Sets. A bit technical, but very clear exposition. Has all important definitions and many proofs.
  • Online information about our textbook:
  • The Language of First-Order Logic. The official website of CSLI.
  • To look for books in the Pittsburgh libraries:
  • CMU Libraries
  • University of Pittsburgh Libraries
  • Philosophy section of CMU Library
  • For some general advice on how to write a paper or how to cope with math axiety, look at:
  • Advice on how to write a philosophy paper, and many more useful links
  • Advice to research and writing, with many very useful links
  • Coping with math anxiety, a good resource.

  • © Dirk Schlimm, Last modified: 5/3/02