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Results tagged with intuitionism
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user 83901
6
votes
Accepted
Variable elimination for propositional formulas in Heyting algebras
The answer for $\bigwedge_t$ is no. Perhaps the idea here can be adapted to $\bigvee_t$.
Consider the propositional formula $t \vee (t \to x)$ in the complete Heyting algebra of open subsets of $\math …
- 12.4k
4
votes
Accepted
Are Regularity schema and $\in$-induction schema equivalent in intuitionistic logic?
As discussed in the nLab link I posted in my comment, the existence of a non-trivial relation satisfying regularity implies the law of excluded middle. We can use this to show that regularity and $\in …
- 12.4k
25
votes
Is Bauer–Hanson’s result “there is a topos where the Dedekind reals are countable” novel?
In the topos we construct in our paper there is a surjection/epimorphism from the natural numbers to the Dedekind reals. In the model of CZF you mention (and in the effective topos) the Dedekind reals …
- 12.4k