Philosophy 1020 Lecture Notes - Lecture 13: Hypotenuse, Deductive Reasoning, Inductive Reasoning

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David hume <1711- 1776> (cid:1: hume"s fork . All sentences are one of two things. Either relations of ideas or they are matters of fact. 3 * 5 = half of thirty the square of the hypotenuse is equal ti the sum of the squares of the two sides. Propositions of this kind are discoverable by the mere operation of thought, without dependence on what is anywhere existent in the universe. Though there never were a circle or triangle in nature, the truths demonstrated by euclid would for ever retain their certainty and evidence. Just have to sit and think to prove their true. You have to go out and check on the world to know whether or not their true. Cant just prove them by thinking about them. Not ascertained in the same manner as relations of ideas. Our evidence of their truth is not of the same nature as that of relations of ideas.

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