Question

Example of the syllogism to set-theoretic translation

At the end of lecture 5 (see the recordings) we saw how to use predicate logic to prove that syllogism types are valid. Prove that the following syllogism is valid by following the steps below My teapot is purple My teapot holds water There exist purple things that hold water a) Translate the syllogism into set-theoretic notation b) Translate your set-theoretic notation into the notation of predicate logic c) Give a proof that the syllogism is valid, similar to that given in the lecture 5 videos. (1 mark) (1 mark) mark) Set theoretic notation We can frame syllogisms in set-theoretic language HUMANS C MORTALS s E HUMANS s E MORTALS MORTALS HUMANS

Answer 1

nsuoes ny tot hotds te There eest Puspie-trengs-that hoH ua4% s/s 느 Socrates and SS.Ternate3 soc sa ke) (Prenyrie motnex csaec)