On 04 Jan 2015, at 19:31, John Clark wrote:



On Sat, Jan 3, 2015 at 10:58 AM, Bruno Marchal <[email protected]> wrote:


> Careful not confusing "Nothing exists" and "Nothing exist". In the first case, something exists. But not necessarily in the second case


If "nothing" means no-thing, and that is certainly how that English word originated, then the meaning of the first case is clear even if I don't agree with what it says, but "no thing exist" just sounds like bad grammar to me.

Nothing exist = not one thing exists  = the universe U = { }

Nothing exists is the stage after the use of the reflexion axiom, where U becomes { { } }. The nothing ({ }) exists and has became an element of the universe.

This can be reiterated on Cantor transfinite ordinals. (see my post to Chris).

Bruno




  John K Clark












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