My token identity is maintained, despite the flux of my physical body, by the way I think and talk about myself (and the way others think and talk about me). I'm the same person that was alive 20 years ago because that's how I think and talk about myself. That's anti-realism. — Michael
it's not paraconsistent logic - which holds that A, ~A ⊨ B is not a valid inference; this is the view usually associated with anti-realism. — Banno
Beall suggests that the knower gives us some independent evidence for thinking Kp∧¬Kp, for some p — “SEP on Fitch’s Paradox”
Anti-realism isn't concerned with explosion as a logical matter, it (the middle-way anti-realism) is concerned with how all truths are known yet some truths are unknown (anti-realism plus non-omniscience) in a meaningful (non-incoherent/useful) way. — Ennui Elucidator
My token identity is maintained, despite the flux of my physical body, by the way I think and talk about myself (and the way others think and talk about me). I'm the same person that was alive 20 years ago because that's how I think and talk about myself. That's anti-realism — Michael
It's both. Vague propositions often don't have a single truth value, precisely because they're vague. — Michael
But verificationism holds that p is true if and only if it has been verified.
And it follows that everything that is true has been verified. — Banno
So Banno's verificationism says that everything that is true has been verified and you say that verificationism permits unknown truths. — Ennui Elucidator
No I don’t. Verificationism doesn’t permit unknown truths. It permits unverified propositions. — Michael
So why do you say that verificationism doesn't require omniscience? All truths are known. — Ennui Elucidator
Because under verificationism that isn’t sufficient to be omniscient. Omniscience requires having verified every proposition or their negation. — Michael
It is however the contrapositive of Theorem 5 that is usually referred to as the paradox:
(K Paradox)∀p(p→◊Kp)⊢∀p(p→Kp).
It tells us that if any truth can be known then it follows that every truth is in fact known. — SEP on Fitch
Fitch’s paradox of knowability (aka the knowability paradox or Church-Fitch Paradox) concerns any theory committed to the thesis that all truths are knowable. Historical examples of such theories arguably include Michael Dummett’s semantic antirealism (i.e., the view that any truth is verifiable)
If omniscience is knowing every true thing… . — Ennui Elucidator
Yet again, if the verificationist hasn’t verified the square root of 123 then he isn’t omniscient. It’s that simple. — Michael
The operative concept of “knowability” remains elusive but is meant to fall somewhere between equating truth uninformatively with what God would know and equating truth naively with what humans actually know. Equating truth with what God would know does not improve intelligibility, and equating it with what humans actually know fails to appreciate the objectivity and discoverability of truth. ...
The great problem for the middle way is Fitch’s paradox. It is the proof that shows (in a normal modal logic augmented with the knowledge operator) that “all truths are knowable” entails “all truths are known”... — "SEP
If the verificationist hasn't verified it, it isn't true — Ennui Elucidator
knowing everything that is true (i.e. every proposition that has been verified) neatly discloses everything that is false (every proposition that hasn't). — Ennui Elucidator
For Popper, non-falsifiable propositions are not necessarily without meaning, just without possibility of empirical testing and thus not part of 'science' proper (specifically when this proposition is also not part of a broader theory which makes some testable predictions — Olivier5
That it's the the same thing is a conceptual/linguistic imposition, a way we view and talk about the world. That's anti-realism. — Michael
...because we view it that way. — Michael
Not having verified p isn’t the same as having verified not-p. You need to verify not-p for p to be false. — Michael
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