Philosophy of Logic and Mathematics
https://soar.wichita.edu/handle/10057/6851
Tue, 17 May 2022 13:25:26 GMT2022-05-17T13:25:26ZHow many thoughts can fit in the form of a proposition?
https://soar.wichita.edu/handle/10057/10710
How many thoughts can fit in the form of a proposition?
Sterrett, Susan G.
I argue here that Frege’s eventual view on the relation between sentences and the thoughts they express is that, ideally, a sentence expresses exactly one thought, and a thought is expressed by exactly one (canonical) sentence. This may clash with some mainstream views of Frege, for it has the consequence of de-emphasizing the philosophical significance of the question of how it is possible for someone to regard one sentence as true yet regard another sentence that expresses the same thought as false. This account of Frege was developed by taking a long-range look at his writings over the course of his life.
Submitted to "Mind and Language" on June 24th, 2004
Tue, 24 Jun 2003 00:00:00 GMThttps://soar.wichita.edu/handle/10057/107102003-06-24T00:00:00ZFrege and Hilbert on the Foundations of Geometry
https://soar.wichita.edu/handle/10057/10709
Frege and Hilbert on the Foundations of Geometry
Sterrett, Susan G.
This is the text of a talk given on October 14, 1994, at the University of Pittsburgh in
the Department of Philosophy’s Graduate Student Colloquium. The paper was written
for a seminar given Fall 1987 by Wilfried Sieg (CMU Philosophy) and Ken Manders
(Pittsburgh Philosophy), and was completed August 1988. Some minor revisions were
made in Fall 1994 to prepare it as a talk.
Fri, 14 Oct 1994 00:00:00 GMThttps://soar.wichita.edu/handle/10057/107091994-10-14T00:00:00ZThree views of logic: Mathematics, Philosophy, Computer Science
https://soar.wichita.edu/handle/10057/10707
Three views of logic: Mathematics, Philosophy, Computer Science
Loveland, Donald W.; Hodel, Richard E.; Sterrett, Susan G.
Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity.
The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time.
Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings.
Gives an exceptionally broad view of logic.
Treats traditional logic in a modern format.
Presents relevance logic with applications.
Provides an ideal text for a variety of one-semester upper-level undergraduate courses.
University Libraries owns this book: http://libcat.wichita.edu/vwebv/holdingsInfo?bibId=2239318 Call no.:QA9.54 .L68 2014
Wed, 01 Jan 2014 00:00:00 GMThttps://soar.wichita.edu/handle/10057/107072014-01-01T00:00:00Z