Inference
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Time to leave the shallow end of the pool! With enthymemes–one of the most effective forms of argument, according to Aristotle–we begin our study of advanced deductive arguments.
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We conclude our consideration of compound syllogisms by looking at conjunctive syllogisms, in many ways the mirror image of disjunctive syllogisms.
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Either you understand disjunctive syllogisms, or you don’t. If you don’t then this lecture is for you.
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In this lecture, we learn about the first of our three compound syllogisms–also known sometimes as a “hypothetical” syllogism. The conditional syllogism comes in two varieties, “mixed” and “pure,” and we’ll learn about four different moods for each.
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With this lecture, we begin to learn about compound syllogisms, which allow us much greater flexibility in the ways we analyze the world logically.
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Here’s the exciting conclusion of section 7.3, covering the final two rules of validity and two handy corollaries that make it easier (and faster) to recognize the validity (or invalidity) of syllogisms that rely on particular premises.
Logic Lectures 