Mathematics, Logic, and IntuitionDate: 05/27/2003 at 03:47:28 From: Anne Xavier Subject: Nature of math in view of logic and intuition How is math related to logic and intuition? Date: 05/27/2003 at 09:08:37 From: Doctor Edwin Subject: Re: Nature of math in view of logic and intuition Hi, Anne. Strictly speaking, logic is just a kind of math. Instead of having values like 1, 99, or 2935112, in logic you have values of true and false. Instead of operations like PLUS and DIVIDED BY, you have operations like AND and OR. So instead of arithmetic equations like: 4 PLUS 11 = 15 you get true AND false = false The mathematical treatment of logic was invented by George Boole in 1854, so it's often called Boolean algebra. You can modify it to include more human concepts like "90% true" or "90% certain that it is true" (two different things, right?). Some people say that intuition is a process that is beyond the explanation of logic and mathematics. That's an appealing idea. It'd be nice to think that there is a place in us that has some kind of magic, a place where we do a kind of thinking that can't be captured by rules. But I think that there can be more magic in complex systems of rules than is obvious. What do you think? - Doctor Edwin, The Math Forum http://mathforum.org/dr.math/ Date: 05/28/2003 at 12:37:35 From: Doctor Peterson Subject: Re: Nature of math in view of logic and intuition Hi, Anne. Did you try searching our site for the word "intuition"? Here is one discussion that you might find useful: Mathematics and Intuition http://mathforum.org/library/drmath/view/52284.html If you have any further questions, feel free to write back. - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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