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xod: > On Fri, 8 Aug 2003, And Rosta wrote: > > 3. It is arguably correct that the cardinality of the mass of all Five(s) > > is tu'o rather than pa. Since we can't conceive of what re li mu would > > be like, we can't know that there is exactly pa li mu. > > We know that we have one Five. And we can show that every other > Five is identical. So we've proven that there is only one Five. No we haven't. We've shown that there isn't more than Five. But that doesn't prove that it is countable, since for uncountables you can also prove that there isn't more than one of them. > This is not trivial. The same type of proof can prove that there are only > two integers between 0.1 and 2.1, a case that does not result in any > answer which one is tempted to substitute tu'o. I don't dispute that there is one integer between 4.1 and 5.1. I fully accept that integers are countable. But I am disputing whether fives are countable. Likewise, I accept that people are countable, but dispute that xod is, I accept that chemical elements are countable, but dispute that oxygen is, and I accept that we can count kinds of Goo but dispute that we can count a single kind of Goo. --And.