Verily I tell thee that I have attended hundreds of academic conferences, have played in countless chess and table tennis tournamnets, and have experienced hundrees of powerpoint presentations. Thus have I died a thousand deaths. Still learning how to die, Walter O. Quoting Robert Paul <rpaul@xxxxxxxx>: > Eric Dean writes > > > First, I completely agree that "there exists" is a problematic > > expression. I think, though, that Quine's usage is both decipherable > > and coherent, though I do have my doubts about the entire program within > > which that usage makes sense. > > What dire offense from logic textbooks springs > What mighty contests rise from trivial things! > > I think that the principle of charity should be applied to the > 'existential quantifier,' which can without loss of meaning be read > simply as 'there is?' 'There's a spot on your tie.' would be formally > written using the existential quantifier but this doesn't mean that what > the logician means is anything more than what the ordinary person means > by 'there is.' Logic is a formalization of stuff from elsewhere, mainly > ordinary language. Logical formalization is rarely more perspicuous than > that of which it is a formalization of: 'The cat is on the mat,' is > fairly easy, but 'Tom has six goats, two of which are for sale,' is more > difficult, and in formal notation less readily intelligible to the > common reader. > > > The usage derives from the notion that time can be treated, for purposes > > of science, as a fourth spatial dimension. In that sense, one can say > > "there exists" a time t such that..." in the same way one can say "there > > exists a point p such that...". In this usage one can say "there is a > > time t such that t is greater than 5:00PM EST on March 21 2008 and the > > sun sets in Washington DC at t" and mean something like "the sun will > > set later this afternoon", tortured as such a way of saying it might > > be. In the case of the restatement of "all men are mortal", this all > > cashes out as simply meaning that a mortal man will die some time, > > surely not a problematic notion on any construction. > > This is interesting but I wonder if Quine meant any more than 'every man > will someday die,' which, as an empirical generalization I'd be inclined > to agree with. What counts as dying is often stipulative and different > criteria for death ('x is dead') have been advanced over the years. The > troublesome formalization cannot itself mean anything that can't be said > in ordinary language; it requires no occult interpretation, as far as I > can tell. Like Augustine, when I think about time, I understand it, but > when I try to explain it, I don't. In any event, it isn't the logician's > job to tell us when people are dead (or happy or male or female). The > logician's arrogance is perhaps an illusion: she's saying, in effect, > whatever you've agreed counts as being dead (happy, female, a True > Trotskyite), we'll use that. > > > While such circumlocutions may usefully (?) make explicit the logical > > underpinnings of the mathematics which in turn underpin physics, I > > certainly agree that they're of dubious value in the case of "all men > > are mortal". > > I think it was agree some time back that logicism (the attempt to ground > mathematics in logic, or in the logic of set theory), was a failure. > > Robert Paul > ------------------------------------------------------------------ > To change your Lit-Ideas settings (subscribe/unsub, vacation on/off, > digest on/off), visit www.andreas.com/faq-lit-ideas.html > ------------------------------------------------------------------ To change your Lit-Ideas settings (subscribe/unsub, vacation on/off, digest on/off), visit www.andreas.com/faq-lit-ideas.html