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Math Is An Invention Not A Discovery
You can't discover a concept that is developed by the mind and ceases to exist without human interference. Discovering something involves ones ability to obtain knowledge that has existed before it was found, but math wasn't found just simply invented.
 verum  03 Aug 2008 20:46
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It is a useful tool but it is a human discipline, not a separate truth. It is merely a sort of short hand used to help us define the truth as we understand it. 1=1 only on paper.
 
 finsch  03 Aug 2008 21:27
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 Mathematics is the study of properties of quantities, measurements, sets, and relationships using numbers and symbols. So strictly speaking it is neither an invention nor a discovery but a disipline, however mathmatics is not the actual nature of quantities and relationships but is instead our description of said. Furthermore Mathmatics is a gross simplification of the natural world. The most complex geometric figure we can mathmatically descibe is infinately simpler and neater than the actual geometry of the simpliest natural object. The basis of mathmatics is the = symbol. However no thing in the natural world actually equals any other thing. Yes all civilizations have developed mathematics because quantification is necassary for trade. A2+B2=C2 is an effective way to describe a right triangle except that there are no right triangles outside of theory. Math is an extremely useful tool but is like a form of short hand for decribing those quantities and relationships we have been able to muddle out some understanding. In short the way I see it mathmatics is an invention used for discovering the nature of the natural world.
by  finsch
 06 Aug 2008 21:34
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Maths does not depend on humans. One object plus another object is always two objects whether humans are there or not. It is only the labels that are dependent on humans. For example, a triangle is an object that has three sides, the object will always have three sides, it had three sides before humans existed and all humans did was give it the label 'triangle'. Maths is always there and always has been, humans have 'discovered' it and put labels on it.
 
 Kirsty08  04 Aug 2008 17:26
 13 Comments
 
 one object plus another object is a set of objects that we can describe as two. If we didn't invent math two objects would not be relevant or noticed as a number. I believe the triangle has sides, that we describe as 3. Math is created, it just cant exist without human interference. The two objects would still be there if we didn't use math to describe it as two.
by  verum
 04 Aug 2008 17:46
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Sander has said this pretty well. It is not easily communicated. It is a very good question but I disagree. I see that Maths is a discovery. 2 + 2 = 4 and did so long before man walked the earth. It is just that we have discovered it and used symbols to value and clarify it. Exactly the same could be said for chemistry for example.
 
 Mosschops  04 Aug 2008 09:54
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I'm not sure which way to go with this.

You could argue that math is an invention, because it did not exist as an idea before men existed.

But you could also argue that it is a discovery, because it was created to describe the natural world, and has always described the natural world.

When you take two objects and put two more with them, you then have four objects. Man did not make that happen. But man did create the system of finding out what that means.
 
 sander  04 Aug 2008 01:30
 3 Comments
 
 I'll echo that, I thought it was well stated.
by  Grenache
 04 Aug 2008 04:06
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