https://www.3-16am.co.uk/articles/yes-and-no
INTRO (excerpt from Zach Weber interview): 'I am a dialetheist, or glut theorist, and on that basis I also think some paraconsistent logic is correct. An example of a true contradiction is that for any set, there is always a bigger set than that (Cantor’s theorem), but also there is a set of all sets (the universe of sets) which is as big as it can be—so the universe is bigger than itself, and not. Obviously. ... Or for a more mundane example, if you quit smoking six weeks ago, then you might be both a smoker and not a smoker. Do you want a cigarette? Yes and no.'
'“Ultralogic” was Richard Routley/Sylvan’s name circa 1977 for his envisioned logic that would “open all locks”. Sylvan was a visionary and his work has been tremendously influential, on many people, and on me, especially at some formative moments. It’s the logic I was been hinting at above – the content/context neutral consequence relation that works no matter what.'
'I tried to make the case for paraconsistent vagueness in a paper over 10 years ago, after working with Mark Colyvan on the problem. Priest put something in the same vicinity forward. To be candid, so far the ‘glutty vagueness’ proposal has not gained many adherents—even fellow glut theorists like Jc Beall think you can have tolerance without gluts, as you say. Maybe he’s right. But maybe the ‘glutty vagueness’ view hasn’t been around long enough yet. Give it another four minutes.'
'A theory of truth ... will need to be paraconsistent, but that doesn’t make it ‘paraconsistent truth’—it’s just ‘truth’. I’d do it using a paraconsistent logic, but that’s just because I’d do it using logic . And also for the reasons above, it can’t be a ‘meta’ theory, because there’s no outside the universe. So that right there would be the difference with classical theories.'
'There is something to connecting paraconsistency and dialetheism to some kind of religious impulse. Set theory with a universal set, a universal logic, semantic closure—these are all totalizing worldviews, with some theistic overtones.'
Zach Weber is an expert in philosophical logic, with a focus on paradoxes and non-classical logic. Here he discusses why he's interested in non-classical logics, paraconsistency, strong and weak versions, his dialetheistic position, paraconsistency and ethics, paraconsistency and the temptation to mitigate against resolving inconsistencies, ultralogic, vagueness, another problem with boundaries, closure and revenge, metatheories and paraconsistencies, the challenge of trivial worlds, and paraconsistency and the religious impulse... (MORE - the interview)
INTRO (excerpt from Zach Weber interview): 'I am a dialetheist, or glut theorist, and on that basis I also think some paraconsistent logic is correct. An example of a true contradiction is that for any set, there is always a bigger set than that (Cantor’s theorem), but also there is a set of all sets (the universe of sets) which is as big as it can be—so the universe is bigger than itself, and not. Obviously. ... Or for a more mundane example, if you quit smoking six weeks ago, then you might be both a smoker and not a smoker. Do you want a cigarette? Yes and no.'
'“Ultralogic” was Richard Routley/Sylvan’s name circa 1977 for his envisioned logic that would “open all locks”. Sylvan was a visionary and his work has been tremendously influential, on many people, and on me, especially at some formative moments. It’s the logic I was been hinting at above – the content/context neutral consequence relation that works no matter what.'
'I tried to make the case for paraconsistent vagueness in a paper over 10 years ago, after working with Mark Colyvan on the problem. Priest put something in the same vicinity forward. To be candid, so far the ‘glutty vagueness’ proposal has not gained many adherents—even fellow glut theorists like Jc Beall think you can have tolerance without gluts, as you say. Maybe he’s right. But maybe the ‘glutty vagueness’ view hasn’t been around long enough yet. Give it another four minutes.'
'A theory of truth ... will need to be paraconsistent, but that doesn’t make it ‘paraconsistent truth’—it’s just ‘truth’. I’d do it using a paraconsistent logic, but that’s just because I’d do it using logic . And also for the reasons above, it can’t be a ‘meta’ theory, because there’s no outside the universe. So that right there would be the difference with classical theories.'
'There is something to connecting paraconsistency and dialetheism to some kind of religious impulse. Set theory with a universal set, a universal logic, semantic closure—these are all totalizing worldviews, with some theistic overtones.'
Zach Weber is an expert in philosophical logic, with a focus on paradoxes and non-classical logic. Here he discusses why he's interested in non-classical logics, paraconsistency, strong and weak versions, his dialetheistic position, paraconsistency and ethics, paraconsistency and the temptation to mitigate against resolving inconsistencies, ultralogic, vagueness, another problem with boundaries, closure and revenge, metatheories and paraconsistencies, the challenge of trivial worlds, and paraconsistency and the religious impulse... (MORE - the interview)