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Re: Matheology § 008
Posted:
May 16, 2012 4:27 PM
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On May 16, 10:00 pm, William Hughes <wpihug...@gmail.com> wrote: > On May 16, 3:05 am, Graham Cooper <grahamcoop...@gmail.com> wrote: > > > > > On May 15, 11:00 pm, William Hughes <wpihug...@gmail.com> wrote: > > > > On May 15, 5:50 am, Graham Cooper <grahamcoop...@gmail.com> wrote: > > > > <snip> > > > > > So the initial flaw of mathematicians is to assume OTHER TRAVERSALS > > > > than the identity diagonal are just OTHER VARIATIONS of their single > > > > example, when the opposite is true - the identity diagonal is a > > > > SPECIAL CASE of the infinitude of general paths allowing you to > > > > construct any infinite sequence at all. > > > > Nope. ***Almost*** any infinite sequence. As you have noted, > > > for ***any*** list there are infinite sequences that cannot be made > > > (Remember, having the rows you need is not enough. you have to use > > > every row). > > > You have a simpleton's ideology of what constitutes an infinite list. > > > Kindergarten children would laugh if you explained that > > > 0.1010 > > 0.0101 > > 0.1100 > > 0.0011 > > > OK take 0011 from 0.X 0.-X 0.--X and 0.---X using up every row! > > There are 24 ways to produce a generalized diagonal from the above > list. No way produces 0011.
what's the point of being pedantic with you, you take quotes out of context and commit libel with them then run away whistling that I agreed with Cantor's Proof.
your Theory Of Reals is so twisted and embedded across all disciplines of mathematics that it takes a scalpel to dissect your network of self- supporting errors. arguing with cheats and liars, no matter how many of you there are is a waste of 2 decades so far.
*****ME****
Given a particular enumeration L of a particular countable set S an infinite string "exists" that does not equal any row by the Weak_Unique Relation:
L = R1, R2, R3... WU(r, L) <=> A(i): E(p): Ri_p =/= r_p
but the Strong_Unique Relation does not always hold:
SU(r, L) <=> E(p): A(i): Ri_1=/=r_1 or Ri2=/=r_2 ... Ri_p =/= r_p
Using WU only, which is viable, given a particular L = R1, R2, R3... L is missing_an_infinite_digit_string and in a mathematical sense incomplete!
****YOU**** We are agreed there is no bijection between N and R. So card(R) > card(N)
Followed by more lies by you that I support Cantor's Proof.
Why talk to idiots Will?
Herc
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