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Aug 31, 2024
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PHIL& 120 - Symbolic Logic
5.0 Credits An introduction to modern symbolic logic emphasizing sentence logic with translation and proofs and quantificational logic with translation and proofs. Prerequisite MATH 087 with a minimum grade of 2.0. Course-level Learning Objectives (CLOs) Upon successful completion of this course, students will be able to:
- Apply the basic vocabulary of logical theory: argument, deduction, induction, validity, soundness, consistency, etc.
- Reduce information to symbolic form by translating statements and arguments from English into the formal logical languages of both truth-functional and predicate logic.
- Apply truth tables to test single statements for logical status (tautology, self-contradiction, contingency), to test pairs of statements for the logical relations (equivalence, contradiction, consistency), and to test arguments for validity.
- Apply natural deduction in propositional logic, with rules of implication and replacement rules, to prove arguments valid.
- Apply natural deduction in predicate logic, with rules of inference and replacement rules, to prove arguments valid, including arguments containing relational predicates and multiple quantifiers.
- Select appropriate proof strategies when completing natural deduction proofs (Direct Proof, Conditional Proof and Indirect Proof).
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