PHIL 155.001 – Truth and Proof: Introduction to Mathematical Logic

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Instructor: Aaron Thieme. This course meets MWF 8:00 – 8:50 a.m. in CW 105.

In this course we study arguments, sets of premises that support a conclusion. We are particularly concerned with deductively valid arguments, arguments where the truth of the premises entails the truth of the conclusion. To study deductively valid arguments, we rely on formal or mathematical tools, such as artificial languages, and we practice translating between arguments in English and arguments in these artificial languages. We ultimately work with two formal logical systems; we start with propositional logic before moving on to quantificational logic.