On 17 Feb 2013, at 23:54, Stephen P. King wrote:

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On 2/17/2013 10:56 AM, Bruno Marchal wrote:Yes. Euler identity is wonderful.It amazes me also that it makes the square of any complex numberinto a (non normalized) gaussian:(e^ix)2 = e^(-x2)I love also Euler even deeper identity relating the square of theintegers and the prime numbers:Sum from n = 1 to infinity of 1/n^s = Product on all primes p of (1/(1- 1/p^s). This led Riemann to the deeper of all open problem inmath (Riemann hypothesis).Ramanujan found quite amazing number relations. Some are so deepthat they link gravitation, quantum computing, prime numbers,string theory and the arithmetic of the integers, all given a keyrole to the number 24.Jacobi found amazing relations too, involving 24.Math is full of surprising relations. That's a reason, I think, tobelieve in their objectivity or 3p-independence.BrunoDear Bruno,Why is it surprising? We have finite brains that can only knowso much and have languages that can only represent a finite numberof possibilities. So why are we acting surprised that we 'discover'relations in mathematics and from that surprise make claims of"independence" for the math? I find this to be a tacit prejudice ofour own importance.

`On the contrary. It is the admission of our ignorance. But then it is`

`our ignorance with respect to something independent of us.`

Bruno

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