... I'm pretty out of touch these days too. I suspect that as usual there is a discrepancy between the philosophers of language favoured in philosophy...
... Here, I just want to say, these logical "laws" are merely abstractions from our sensory observations. We observe that something can not be two things at a...
Thank you everybody especially Peter D. Jones for lengthy discussions about my complexity paper. I think in the end I softened my claims quite a bit! Best, PS:...
... Thanks, but I made a crucial mistake in the diagonalization argument - after flipping the bits of the diagonal it's true that the resulting string is...
... I guess I don't know the status of philosophy in the linguistics department. Read some early Johnson and earlier Lakoff, but my own current interests are...
... Michael (or whoever): I'm sure there are aspects of Cantor's proof I still don't quite grasp but I was wondering if you might consider this a fair re- ...
... (or ... in ... I'm not sure this was at all clear... I'm not even sure that the following won't make things even worse either... I believe it was Cantor's...
... ? Cogsci has grown up with AI and both, to say the least, are inspired by the real progress in ordinary computing, probably more so than they are inspired...
... Very good. That's what I thought. Then the failure is with the function that generates the list. If it can't/is incapable of generating this diagonal...
... If you want to crack your head on this, find Zenkin's posts on FOM list. Best, -- Eray Ozkural (exa), PhD candidate. Comp. Sci. Dept., Bilkent University,...
... co- ... No thanks... I'm really just not that impressed by speculations about infinite reals. It seems to me like someone saying: I have a function that...
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... Not really. ... Here's a real "generated completely": 0. Want another one? Ok: 1. ... Consider this. About a year ago someone was telling me about a book...
... No. There are so many misconceptions here and in your subsequent remarks I hardly no where to begin to clear things up. You need a clear understanding of...
... clear ... injection, ... ideas in the ... Once ... not ... think about ... That's OK Michael... I would have accepted "No". Just trying to guess how far...
... And in-between these [0,1] are an infinite list of elements with an infinite string of digits each. Yes? The two you did list are idealizations. No? JJG...
... Cantor doesn't claim that any function generates the list You don't prove constructivism by assuming it. ... err..yes. You seen to be struggling to wards...
OK excellent. #1 Cantor's list is not generated by any function. (it simply is) #2 The list is infinite horizontally (has a beginning but no end) #3 The list...
... Churchlands are an excellent example of scientists doing philosophy, or at least talking philosophy. Dennett is a philosopher at least referring accurately...
OK people. Tricky, tricky, Cantor... http://en.wikipedia.org/wiki/Cantor%27s_diagonalization_argument After reading the above, it's easy to see at each and...
Certainly the list is symmetric both horizontally and vertically. IOW, it's the same list with horizontal "reals" in vertical columns as it is with vertical...
[I write about this, because I just want to hint that you don't have to accept any mathematical definition if you don't feel like it... It's just an...
We rule out any soul (mind) with causal powers. The soul (mind) belongs to religion. We proceed as scientists. When seeking intelligence, the starting point is...
... imagination.] ... Cantor's ... Just a short reply. You raise some very good points I would like to address when I have more time. Yes, like you said "No...
... I always suspected goint to the moon was not practical. A million digits does sound rather extreme. I should add that the guy who told me this is notorious...
... Yes, I mean something very much like that. Once we get accustomed to some axioms, we start treating them as natural law, which isn't always the best thing...
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