Timothy Williamson: The Logician Who Says Vagueness Has Exact Answers

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Previously titled “Timothy Williamson: Philosophy’s Most Formidable Living Mind” — renamed by the publisher on Aug 3, 2026

Theories of Everything with Curt Jaimungal 1h 51m 1 speaker 8 chapters transcribed 23 days ago
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What is Timothy Williamson’s exact answer to the Sorites (vagueness) paradox?

Timothy Williamson 0:00
I don't think that physicalism is likely to be true in a very strong sense. There are all these positions that you can take where you can think of yourself as somehow m more enlightened than anyone else, and that isn't really a great cause for complacency or self-satisfaction because such positions are so cheap and there are so many of them.
Curt Jaimungal 0:23
This is a tour de force through what reality is. We'll talk about the topics of logic, the self, consciousness, language, and toward the end, even art and free will. Professor Timothy Williamson is Oxford's Wiccan Professor of Logic and one of the most cited living philosophers. His name appears constantly on lists of contemporary thinkers who will go down in history. On this channel, Theories of Everything. My name's Kurt Jaimungle, and I interview researchers regarding their theories of reality with rigor and technical depth. Today, anti-reductionist Williamson dismantles positions across the board. We cover the Soraites paradox, so the paradox of the heap. He dissects solipsism and also examines what meaning means, eventually tackling whether AI can genuinely know anything at all.
Curt Jaimungal 1:12
Stick around until Because he talks about why true monists are philosophically confused. Professor, what's something you believe that most of your colleagues fight you on?
Timothy Williamson 1:24
Oh, perhaps a good example is my view of vagueness, w what to say about questions like, you know, how many grains makes a make a heap or how how many uh hairs makes uh someone not bald or or whatever. And um in my in my view, there's a truth of the m of the matter. There there is a uh a particular cutoff point between uh heap and non. Heap or between bold and not bold. It's just that because of the um the the way the term is is used, uh we're not in a position to to uh identify what the cutoff point is. So so uh I mean that's a contrast with what a lot of people think, which is that vagueness in thought and and language requires some kind of modification of Of logic or of the distinction between truth and falsity, maybe going to a continuum of degrees of truth or something like that.
Timothy Williamson 2:23
And in in my view, uh none of those revisions of uh standard logic and of the distinction between truth and falsity are needed at all. That you that you can understand vagueness much better just by understanding it as a type of ignorance of facts that we just Mm.
Curt Jaimungal 2:42
So the claim is that it's something like three hundred and ten grains of sand, but we just can't actually know that it's three hundred and ten or what?
Timothy Williamson 2:49
Yes, I mean that's that's the idea that it and I mean it might uh perhaps vary from one context to another, but at least in in let's say in our present context it might be that um i that the cutoff is between three hundred and ten and and three hundred and nine. Of course it'll it also depends on things like exactly how the the grains are are put together and and things of that kind for it to be adjusted. genuine heap, but uh we can reason about it in in a completely classical way and the the fact that it's uh it's a vague term that so that we we don't know what this number is, i it's that's just our ignorance and that doesn't prevent us from using standard logic.
Curt Jaimungal 3:33
So what you're referring to is called the Cerites paradox, and people may have heard that, and I'll leave a link on screen to the Stanford Encyclopedia entry on that. Now you use the word identify. Now the Cerrites paradox is to what makes something well, how many grains of sand? If you just have three grains of sand, you would just say it's a collection of grains of sand. But at some point if you have a whole heap, you'll use the word heap. And the standard one of the standard responses is from Wittgenstein that says it's a foolish endeavor to try to investigate is 157 grains of sand a heap or not. It's just the way that we use language. So I know that I may have imprecisely characterized Wittgenstein, so please feel free to precisely characterize him, and then tell us why is he wrong in your mind, and what this has to do with identity.

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