A = x is cognizable, B = x is a noumenon (and ~B = x is an appearance) 1. (A ? ~B) v (A & B) 2. (A ? ~B) v ~(~A v ~B) 3. (A ? ~B) v ~(A ? ~B) True Not...
2.6 is the section about existence, and it's only a couple pages. I quoted some bits. One minor point maybe worth going back to is his use of the word...
I should be clearer. I was only asking if my reading of Hume was plausible, not whether what he says was. I do want to evaluate the arguments as we co...
That really might be. I'm undecided. Hume sets out to show that various beliefs we hold cannot be justified either by observation or by reason. But we...
Yes, and that's a pregnant suggestion, not really substantiated yet — since I'm less than a page into the exegesis so far. That last phrase referring ...
Good. I think the warmup is done and now we ought to go right through and discuss the arguments as they arise. I've considered graphing them out, but ...
This is just to deny one of Gettier's premises. And that's fine, of course, but on what grounds? Gettier is deliberately pretty vague about justificat...
This is another point he makes repeatedly, that we only have these unique, ephemeral perceptions, among which, to be sure, there are resemblances, but...
Good point about the secret springs of nature. There is something I find fundamentally unnerving about Hume's arguments, that they're hard to categori...
Will have more later, but I wanted to add what seems like a very strong argument against double existence -- though again it leaves me a little confus...
I have lots of rereading to do, and thinking after that, so I don't have a full picture of the argument yet. I think the idea is that an impression is...
The starting point for Hume's position is that only perceptions (encompassing impressions, ideas, feelings) can be present to the mind. A second point...
I think that's a pretty common reaction. "No false lemmas" can itself be taken as meaning that the belief in question wasn't really knowledge because ...
If justification and truth run on separate tracks, then justification can sometimes lead, quite reasonably, to falsehood, just as we can sometimes hol...
The one thing everyone agrees on is that there is no knowledge here, so I wonder why you think there's a problem saying there is or isn't. "No false l...
Suppose you have a bag of apples you intend to give away. There are two courses of action open to you: (1) You can give someone the bag of apples, so ...
To the Danielle Hope poem? Not sure. I don't have any feel for how she writes. Perhaps I shouldn't have made my remark about prosody sound so universa...
No. Here's one way stipulation could enter our play: I don't play golf, but I know roughly how it works. If you know no more than I do, we'll have to ...
I'm saying you might have many intuitions about shapes or counting or collections, and I ask you to rely on only a selection from among those. (They m...
One way to think about poetry is that it foregrounds elements bedsides the words that shape our understanding of an utterance. Tiny example. Hugh Kenn...
I don't know. What's "real stipulation"? Does that mean "arbitrary"? If so, no, I don't think the foundations of mathematics are entirely arbitrary. I...
There's choice in axioms at least in the sense that we can select which of our intuitions to build on. We don't have to do everything all the time. So...
No one says it *now*. Wait, actually we don't tell little kids about imaginary numbers, so I guess we do still say it. We don't have to though, becaus...
No, not just those -- and they're not just to ward off paradox but are an attempt to capture our sense of how collections work, not the most naive sen...
No, I don't think so. Not exactly. We have some basic intuitions about collecting and counting, about geometry, and so on, and we build mathematics ou...
For some cases, the issue is direction of fit. It is one thing to imagine a way of proving Fermat's last theorem, and then spend years actualizing tha...
No, I was thinking more fundamental mathematical principles, or how mathematics as a system works. Things like harmony, symmetry, orthogonality, duali...
Yeah that's a funny thing. Math often allows degenerate cases to pass through for the sake of generality. If you need to say every integer has a sign ...
That's the Shakespearean sonnet, with the volta coming rather abruptly at the start of line 13. The older form (petrarchan I think) has a group of 8 a...
Yeah that's what I meant. I'd forgotten Dennis Ritchie talks about that, but computer scientists (not coders) spend a fair amount of time thinking abo...
Assuming you have the semantics of "inverse" to hand, which evidently we don't. In mathematics, it's stipulated. It can be stipulated in other context...
Santa Claus is a real fictional character, but not a real person. When the tag on the present is signed "from: Santa" that's supposed to mean it's fro...
I dunno, I don't really feel that way. I find pre-theoretical intuitions interesting and important. No math without 'em. I read just the other day tha...
Kinda. In "This ball is red," "... is red" is a function not an object, the characteristic function of the set of all red things. Of course we also wa...
Clarity for the questions maybe? We can talk about "the smallest real number greater than 0" but there isn't one, despite our lovely predicate. We get...
And maybe we do it differently for numbers. What's the opposite of 0? If you take it as "none" then its opposite is "some" which is not a number. What...
That sounds plausible. Also wouldn't be surprising if the role of neurotransmitters was overestimated because we got to them first, because there were...
Thank you both for forthright answers. @"Joshs", your describe something that sounds like a research program a la Lakatos, which seems pretty reasonab...
Wouldn't dream of it. I'm not competent to. But if, on my next day off, I wandered over to the Life Sciences building at the local state university, a...
Why isn't there a -0? (I think I've actually heard somewhere of systems that have some use for a -0, but I can't remember what that would have been. P...
Is it "accounts for ..." or is it "may be able to account for ..."? You and @"Joshs" (but @"Isaac" I think to a lesser degree) are always talking as i...
Well no. The number of possible chess games is so large that — here I'm guessing — we'd need quantum computers to actually decide chess. As of now, it...
I only meant that we can talk about the set of statistical anomalies that the Bermuda Triangle is thought to be a member of and then discover that it ...
That's right. In making a move, you put your ideas to the test, but it's not generally a dispositive test, only what another fallible player like your...
Except when that's clearly false? You and I, discussing whether the Bermuda Triangle is a thing, with a mysterious ship- and plane-eating property, ca...
But there are very good reasons people think it goes the other way. For most people, for most concepts, acquaintance with instances of the concept pre...
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