MODR 1760 Lecture Notes - Lecture 3: Japanese Traditional Dance, Logical Truth

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Example 1: [the liquid is leaking from your engine is water. ] [there are only three liquids in the engine: water, gasoline, and oil]. [the liquid that is leaking is not oil] because 4. [it is not viscous], and: [it is not gasoline], since 6. Because it says, it can"t be oil because the liquid is not viscous. We have to add the fact that oil is viscous, and same with gas, and there is liquid leaking from the engine. Example 2 (a warning: [the series of integers (whole numbers) is infinite. ] [if it weren"t infinite, then there would be a last, (or highest) integer. ] [by the laws of arithmetic, you can perform the operation of addition on any arbitrarily large number, call it x, to obtain x+1]. Deductive means, if the premises are true, the conclusion has to be true. It is impossible for it to be false.

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