Homotopy Type Theory
an axiomatization of the real numbers > history (Rev #2)
Idea
I am going to define this in terms of Archimedean pointed halving groups…
Definition
Strict order axioms:
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For all terms , is false.
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For all terms , , , implies or
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For all terms , , not and not implies .
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For all terms , , implies not
Archimedean property:
- For all terms , , and , and implies that there exists a natural number such that , where is the additive -th power (n-fold addition)
One axioms:
See also
Revision on June 10, 2022 at 16:23:57 by
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