Philosophy of Mathematics
- Kind
- Book
- Date
- 2012-10-12
- Publisher
- Routledge
- Retrieved
- Jun 18, 2013
- ISBN
- fmXR2P0Ta7
2 memes from this reference
Proof That the Set of Prime Numbers is Infinite
Theorem: There are infinitely many prime numbers. Proof: Suppose, contrary to the theorem, that there is only a finite number of primes. Thus, there will be a largest which we can call p. Now define a number n as 1 plus the product of all the primes: n = (2 X 3 X 5 X 7 X 11 X...X p) 1 Is n itself prime or composite?…
The Mathematical Image
The proof is elegant and the result profound. Still, it is typical mathematics; so, it’s a good example to reflect upon. In doing so, we will begin to see the elements of the mathematical image, the standard conception of what mathematics is. Let’s begin a list of some commonly accepted aspects. By ‘commonly accepted’…