axiom of infinity

[AntonioLao]

This axiom implies the existence of an infinite set such that a set with more elements than any fixed integer can be put into a one to one correspondence with a proper subset of itself.

[mkirkpatrick]

Thanks for the post Antonio,tell me would consciousness fit within this axiom?


regards michael.

[AntonioLao]

Obviously, consciousness precedes the axiom because without consciousness no axiom can be formulated or understood. I'm working on a book which hopes of defining infinity as a number in order to provide a proof for the Twin Prime Conjecture.

[mkirkpatrick]

Obviously, consciousness precedes the axiom because without consciousness no axiom can be formulated or understood. I'm working on a book which hopes of defining infinity as a number in order to provide a proof for the Twin Prime Conjecture.

Wishing you the very best on your forthcoming book Antonio,Of course consciousness would precede an axiom,what was I thinking!


regards michael

[AntonioLao]

Thanks. Maybe you were thinking about the infinite levels of consciousness? The highest level being absolute consciousness or omniscience.

[mkirkpatrick]

Thanks. Maybe you were thinking about the infinite levels of consciousness? The highest level being absolute consciousness or omniscience.

You are right there Antonio,thats just what I was thinking,its amazing to think that we are part of this absolute consciousness,and have the abilty to tune into it.

regards michael.

[AntonioLao]

For the work of my book, I'm trying to tune into absolute consciousness using the sieve of Diophantus to prove the eternal existence of twin primes as well as proving the simple statement of the Goldbach Conjecture of number theory. I also use a working model of infinitely many Pythagorean triples. My work in progress also discovered the group tessellation of matrix groups of 3 by 2 matrices but the inverses of 2 by 2 matrices contain symmetric Hadamard matrices. These tessellations can be used to prove a universe devoid of a center but without compromising both matter and energy principle. In other words, it can become a more plausible quantum theory of space-time.

[mkirkpatrick]

For the work of my book, I'm trying to tune into absolute consciousness using the sieve of Diophantus to prove the eternal existence of twin primes as well as proving the simple statement of the Goldbach Conjecture of number theory. I also use a working model of infinitely many Pythagorean triples. My work in progress also discovered the group tessellation of matrix groups of 3 by 2 matrices but the inverses of 2 by 2 matrices contain symmetric Hadamard matrices. These tessellations can be used to prove a universe devoid of a center but without compromising both matter and energy principle. In other words, it can become a more plausible quantum theory of space-time.

I am sure you will be able to tune in to absolute consciousness,after all it is within us!

warm regards mchael.

[AntonioLao]

Incidentally, this axiom is demanded because of Russell Paradox of set theory. Nevertheless, it does not resolve the foundation problem of mathematics.

[melanie]

You may rediscover infinity in the simplicity of everyday life and when all illusions are taken away, life may become simpler.