The Definition of Points
in [Math]
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From: Lester Zick on 17 Apr 2007 18:00 On Tue, 17 Apr 2007 13:19:22 -0600, Virgil <virgil(a)comcast.net> wrote: >> "Given any Real number c, there exists a natural number n such that n > >> c". If all naturals are reals, then this may be restated as "A neN E meN >> | m>n". Sound a little Peanoesque to you? > >Not at all. It is clearly Archimedean, preceding Peano by millennia. A/B\>C ~v~~
From: Lester Zick on 17 Apr 2007 18:02 On Tue, 17 Apr 2007 13:24:30 -0600, Virgil <virgil(a)comcast.net> wrote: >In article <4624ff57(a)news2.lightlink.com>, > Tony Orlow <tony(a)lightlink.com> wrote: > >> Mike Kelly wrote: > >> > And what does AC have to do with cardinality? >> >> What do any of the axioms of ZFC have to do with cardinality? >> Extensionality. > >Which of those axioms, or combination of axioms, is extensionally >equivalent to cardinality? 1, 2, 3 . . . ~v~~
From: Lester Zick on 17 Apr 2007 18:04 On 17 Apr 2007 14:12:41 -0700, Mike Kelly <mikekellyuk(a)googlemail.com> wrote: >You've lost me again. A bad analogy is like a diagonal frog. And a good analogy is like a diagonal metaphor. Either way you stay lost. Which is pretty much where you began. ~v~~
From: Lester Zick on 17 Apr 2007 18:06 On Tue, 17 Apr 2007 21:19:22 +0000 (UTC), stephen(a)nomail.com wrote: >In sci.math Tony Orlow <tony(a)lightlink.com> wrote: >> Mike Kelly wrote: >>> >>> The point that it DOESN'T MATTER whther you take cardinality to mean >>> "size". It's ludicrous to respond to that point with "but I don't take >>> cardinality to mean 'size'"! >>> >>> -- >>> mike. >>> > >> You may laugh as you like, but numbers represent measure, and measure is >> built on "size" or "count". > >What "measure", "size" or "count" does the imaginary number i represent? 46 > Is i a number? A definite maybe. >The word "number" is used to describe things that do not represent any sort of "size". Example of a number that doesn't represent any sort of size? ~v~~
From: Lester Zick on 17 Apr 2007 18:11
On Tue, 17 Apr 2007 12:20:01 -0400, Tony Orlow <tony(a)lightlink.com> wrote: >> What question? You seem to think there is a question apart from >> whether a statement is true or false. All your classifications rely on >> that presumption. But you can't tell me what it means to be true or >> false so I don't know how to answer the question in terms that will >> satisfy you. >> >> ~v~~ > >A logical statement can be classified as true or false? True or false? A logical statement as opposed to what, Tony? >In other words, is there a third option, for this or any other statement? Hard to tell without seeing the statement. ~v~~ |