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The Law of Excluded Middle says that for any statement P, "P or not P&quo…
Post #AfKBV6TZXmKk8hIyYq by [email protected]
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@johncarlosbaez "We prove many more results, for instance we show that, al…
Post #AfKSqb3El8x2Giozei by [email protected]
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@highergeometer - a nice new branch of research!
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@johncarlosbaez Where does that image come from? Does it show all the propositi…
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@OscarCunningham - The answer to your second question is "yes", thoug…
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@johncarlosbaez It's cool that they recall the result for commutativity of …
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@antoinechambertloir - there's a nice discussion of that going on here:http…
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@highergeometer @johncarlosbaez can we do similar things with coheyting algebra…
Post #AfLhX4cwmPqofxdK7c by [email protected]
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@hegeliantaco @highergeometer - you can ask Bumpus and Kocsis to tackle co-Heyt…
Post #AfLm1So3qWKaAdZujY by [email protected]
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@johncarlosbaez My brain is not up to reading that paper at the moment, but tha…
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@sgf - if a Godel-powerful system is inconsistent, the density of undecidable s…
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@johncarlosbaez Wow. OK, there's a lot of things about this I don't und…
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@johncarlosbaez Like, for example, if I think I am working in a Boolean logic, …
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@androcat - Sure, basic questions are fine!There are lots of statements P in Bo…
Post #AfLmLu83yG9yhZgHJY by [email protected]
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@johncarlosbaez So, they're not true and not false, but they are either tru…
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@androcat - if it's confusing you're thinking about it a bit wrong. I&…
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@johncarlosbaez Oh, I see.I think most people probably think "boolean&quot…
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@androcat - when I think "boolean algebra" I think something like thi…
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@johncarlosbaez How many elements does a boolean grammar need to have before it…
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@androcat - I don't know what a "boolean grammar" is, or what you…
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@johncarlosbaez I understand logic OKish for a non-mathematician (I like to bel…
Post #AfP1jX0HgSxWiSe8xM by [email protected]
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@androcat - a basic law of classical logic is that False implies everything. I…
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