Dialetheism

[Tea Earl Grey Hot]

[Hovik]

Fascinating. Thanks for the link. I'm not formally trained in pragmatics or semantics (it's really not my area), but this definitely has ties with those aspects of linguistics.

[Rhizomorph13]

You ever get the feeling that some things exist just because some english major wanted a Phd?

[Chuff]

in some cases sentences can be both true and false, or neither, at the same time.

schrodinger's logic ?

[toro]

Interesting. Does that make dialetheisms the philosophical and semantic equivalent of zero?

[CliveStaples]

Interesting. Does that make dialetheisms the philosophical and semantic equivalent of zero?

Introducing dialetheism into any system that has the axiom of non-contradiction makes the system trivial--every statement, as well as its negation, is true. So you could think of it as "multiplication by zero", kinda-sorta-not-really.

But there are non-trivial systems which implement dialetheism. So I guess you could think of these as non-integral domains, if you want to keep abusing mathematical terminology.

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You ever get the feeling that some things exist just because some english major wanted a Phd?

BECUZ EVERRTHIN IS SIMPUL LAWGIC, RIGHT BOYS?!?!

[Categories+Sheaves]

Reminds me of a scene in Youth Without Youth (Coppola + Eliade) where the protagonist talks to his girlfriend about how there are actually four truth-states a statement can have: it can be true, it can be false, it can be simultaneously true and false, or it can be neither true nor false.

...and then they pursue the issue no further. I wanted to see some nontrivial use of paraconsistent logic. but no dice.

...kinda-sorta-not-really...
But there are non-trivial systems which implement dialetheism. So I guess you could think of these as non-integral domains, if you want to keep abusing mathematical terminology.

I did cringe, but it's also nice to know I'm not the only one here who likes ring theory.
Linky to the nontrivial systems?

[CliveStaples]