Quote A Responce

Aristotle and Euclid both made great uses of logic. One came up with deductive reasoning and the other wrote the “Elements” that has become the basics of geometry. But nowadays their deductive reasoning seems somewhat weak. And that is the main problem with logic, it just analyzes the statements but it does not evaluate their validity. As J.W. Krutch said, “Logic is the art of going wrong with confidence.” As we learned in class, logic is not always correct even when a person is truly confident of their logic. Take the example of Euclid’s Proposition 1, where the equilateral triangle ABC is made from a straight line. A confident person can assume that his logic is in fact correct. But Euclid did not demonstrate its validity, because what if line A and B meet at point E before reaching point C. Then the triangle would not be equilateral as Euclid claimed but an isosceles. With logic, however, we are able to improve our arguments and evaluate the arguments of others. And I think that is one of the greatest benefits we can get from it.