USC Logic Minor
The USC minor in Logic requires the completion of 18 units, and at least 16 units must be upper-division. Students must take at least 3 courses from the combined categories of Advanced Logic and Upper-Division Logic, Math, and Philosophy. Though this minor is in the Philosophy department, because it is interdisciplinary, Philosophy majors can pursue it as long as they include at least 16 units of non-PHIL.
Optional Elective Courses
Introduction to Programming
CSCI 102L
Discrete Methods in Computer Science
CSCI 170
Probability and Rational Choice
PHIL 258
Object Oriented Programming
CSCI 103L
Chess and Critical Thinking
SLL 199
Mathematical Reasoning and Problem Solving
MATH 290
Introduction to C++ Programming
TAC 165
Introduction to Logic
PHIL 220
Introduction to Semantics and Pragmatics
LING 303
Introduction to MATLAB
TAC 168
Logic and Language
PHIL 222
Foundational Logic
Students with sufficient background in Mathematics or Computer Science, or students who have already taken PHIL 220 or PHIL 222, may, with instructor permission and on a case-by-case basis, substitute the Foundational Logic requirement with an additional Advanced Logic course.
Intermediate Symbolic Logic
PHIL 350
Advanced Logic
Students must take at least one of the following courses:
The Limits of Logic
PHIL 450
Higher-Order Logic
PHIL 451
Modal Logic
PHIL 452
Upper-Division Logic, Math, and Philosophy
Students may take as many of these courses as they'd like, to supplement their mandatory Foundational Logic course and their Advanced Logic course(s).
Infinity in Mathematics and Philosophy
PHIL 381
Philosophy of Mathematics
PHIL 480
Fundamental Concepts of Analysis
MATH 425a
Theory of Numbers
MATH 430
Math History
MATH 450
Notes on This Proposal
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We have added 2 Math courses to the Upper-Division distribution category, but which courses they should be is still something being reviewed.
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We may add an option of taking MATH 430 or 432 to the elective category.
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We may add additional programming courses, such as TAC 115 or TAC 116. This way, any Applied Math (BA or BS) students will have completed one of these courses for their degree already.
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This minor would be housed in the Philosophy department, so any PHIL, PPL, or PPE majors may only take it if they take at least 16 non-Philosophy units for it. We're also hoping to draw in Math, Computer Science, Linguistics, and Cognitive Science students, among others.
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Some of these courses can be co-taught between Math and Philosophy (PHIL 381 was developed with this in mind). But cross-listing courses would limit the range of courses Math majors could take for the Logic minor.
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We hope to eventually add some of the following courses to our offerings, if members of our department are interested in developing any of these courses.​
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Mathematics in Philosophy
(Topical Course, PHIL 3--)
Non-Classical Logic
(4--)
Category Theory
(4--)
Foundations of Mathematics
(---)
