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Is Mathematics Invention or Discovery?

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  • Essay length: 1488 words
  • Submitted: 06/08/2008
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International Baccalaureate Theory of Knowledge

The first 200 words of this essay...

Tso William 12B

Is Mathematics Invention or Discovery?

The question on mathematics being invention or discovery has long been debated. In the ancient Greeks, Pythagoras and his school of thinking, Pythagoreans, considered number in mathematics to be a representation of reality. Plato, one of the most important Greek philosophers in the Western Philosophy, reasoned mathematics being the only way to understand the true reality of the world or the form. Thus they both suggested math being the ultimate reality that must be discovered by human.

On the other hand, there are three fundamental questions about the nature of mathematics itself. First, we must know where mathematics exists and where it is operating. Secondly, we are not sure how we discover the so-called reality of math. We must take a closer look on the system we are using to find the mathematics laws that represents the reality. Finally, since mathematics laws must correspond with the reality if it's discovered. Therefore we will find how and why the real world will obey the mathematical laws.

The most reasonable answer might be mathematics being operating and existed in our mind. We processed the abstract idea, such as numbers

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