Timeline for Intuitionistic logic as quantization of classical logic?
Current License: CC BY-SA 3.0
4 events
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| Feb 6, 2014 at 20:24 | history | edited | Urs Schreiber | CC BY-SA 3.0 |
added an addendum pointing to notes that further develop the theme of the comment
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| Apr 24, 2013 at 19:58 | comment | added | Urs Schreiber | @Margaret, right, so Heyting algebras are to toposes as logic is to type theory (ncatlab.org/nlab/show/type%20theory): the latter includes the former. So what I said above involves not just intuitionistic logic, but also intuitionistic type theory (ncatlab.org/nlab/show/intuitionistic%20type%20theory). But that's only natural. | |
| Apr 24, 2013 at 19:43 | comment | added | Margaret Friedland | @Urs: thanks for elaboration. However, Heyting algebras are not a mere analogy (or non-analogy) here. There is a connection to topos theory, which I could not articulate, not being conversant in the theory. I found useful information on this under the following link (to a project which you co-authored): ncatlab.org/nlab/show/Heyting+algebra#to_toposes_35 | |
| Apr 24, 2013 at 18:04 | history | answered | Urs Schreiber | CC BY-SA 3.0 |