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Topic: Ordinals describable by a finite string of symbols
Replies: 20   Last Post: Jul 11, 2013 7:46 PM

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apoorv

Posts: 53
Registered: 4/11/13
Re: Ordinals describable by a finite string of symbols
Posted: Jul 5, 2013 1:27 PM
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I need to spend more time.
Any system of axioms that starts with the discrete, discontinuous , iterative,
But seemingly spans the infinitely divisible, infinitely dense, infinitely smooth continuum
Is remarkable. And I keep on wondering as to where and what in the axioms
Allows that to happen. The axiom of infinity is an obvious candidate, although
As I keep on saying, it is through the universal quantifier that infinity is confined
By the bounds of finitude.but it has it's revenge; as it explodes into an
Almost incomprehensible multiplicity yet always bound by the finite words
That we can use!
-Apoorv



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