PHIL 4310
Last Updated
- Schedule of Classes - August 2, 2023 12:50PM EDT
- Course Catalog - April 3, 2023 12:59PM EDT
Classes
PHIL 4310
Course Description
Course information provided by the Courses of Study 2022-2023. Courses of Study 2022-2023 is scheduled to publish mid-June.
First course in mathematical logic providing precise definitions of the language of mathematics and the notion of proof (propositional and predicate logic). The completeness theorem says that we have all the rules of proof we could ever have. The Gödel incompleteness theorem says that they are not enough to decide all statements even about arithmetic. The compactness theorem exploits the finiteness of proofs to show that theories have unintended (nonstandard) models. Possible additional topics: the mathematical definition of an algorithm and the existence of noncomputable functions; the basics of set theory to cardinality and the uncountability of the real numbers.
When Offered Fall.
Prerequisites/Corequisites Prerequisite: MATH 2220 or MATH 2230 and preferably some additional course involving proofs in mathematics, computer science, or philosophy.
Forbidden Overlaps Forbidden Overlap: due to an overlap in content, students will receive credit for only one course in the following group: CS 4860, MATH 4810, MATH 4860, PHIL 4310.
Distribution Category (MQR-AS, SMR-AS)
Comments Offered alternate years.
Regular Academic Session. Combined with: MATH 4810
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Credits and Grading Basis
4 Credits Stdnt Opt(Letter or S/U grades)
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