PHL309 Logic, Language, and Thought
Professor: Craig DeLancey
Reading. Read from Galileo's
Two New Sciences: First Day, from pages 35  to 44 .
This is the most important section, for our purposes.
Practice: answer the following question, either on
BlackBoard or you can print your answer and bring it to class
if you prefer: There are at least five arguments here against
either infinitesimals or actual infinities. Describe one of
these arguments carefully as a reductio ad absurdum argument.
What is he trying to show? What is the assumption for reductio
(the assumption of the opposite of what he's trying to prove)?
What are the premises (the things he assumes). What is each
step of Galileo's reasoning? What's the contradiction that he
Due at the beginning of class: A quick homework. Give an
example of a sentence for each of Kant's four kinds: a priori, a
posteriori, synthetic, analytic. Each sentence example must be
your own (no credit for an example we used in class). Then, can
you give an example of an analytic a proiri sentence; an example
of a synthetic a posteriori sentence; and a synthetic a priori
sentence. (If you disagree with Kant's notions, consider
yourself as trying to find examples that he would accept.)
So, that's seven sentences in total.
Tentative Assignments (subject to revision)