On 4/13/2013 4:06 AM, WM wrote: > On 13 Apr., 10:42, fom <fomJ...@nyms.net> wrote: >> On 4/13/2013 3:16 AM, WM wrote: >> >>> On 13 Apr., 06:47, "AMiews" <inva...@invalid.com> wrote: >> >>>>> every d_n of a numerical Cantor-list is the last digit of a >>>>> terminating decimal. >>>>> Never, do you understand, never anybody has seen or used a d_n that >>>>> does not belong to a terminating decimal. >> >>>> you seem confused by standard math notation here. Irrationals no one has >>>> seen the end. >> >>> But you believe in its existence nevertheless? >>> There is no end and there is no "all", because every scientific use of >>> "all" would include to find all. And that includes to prove that all >>> have been found. And that includes that a last one has been confirmed. >> >> WM's finite existence hypothesis. > > No, there is the simple fact that mathematics is done by finite means > and that statements concerning actions have to be proved,. It it not > sufficient to prove that if some axioms are given, that then things > have to be so and so. With respect to actions like sending signals or > reading tables, the reality is the proof. This can be seen by > Zermelo's AC. He said well-ordering is possible, but reality says no.
The fact that WM needs mathematics to be grounded in a metaphysical reality merely reflects the poverty of his philosophy.
Hilbert reportedly described mathematical existence as "that which is not contradictory" with a clearly defined notion of contradiction.
Leibniz defined individuated existents in terms of possible worlds theory or counterpart theory on the basis that no finite account of an object could sufficiently describe it uniquely.
WM offers no philosophy concerning ontology, epistemology, semantics, or logic to account for why his beliefs might have any correspondence to objective representations of either reality or the nature of mathematics.
WM has apparently ties his self-worth to the chicken scratch and crayon marks he calls a reality (Oh, it should be granted that he found a publisher for his books. There is a sort of success in that, even if it seems unimaginable from the statements he makes in this forum.).