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Topic: Matheology § 154: Consistency Proof!
Replies: 101   Last Post: Nov 25, 2012 5:08 PM

 Messages: [ Previous | Next ]
 mueckenh@rz.fh-augsburg.de Posts: 18,076 Registered: 1/29/05
Re: Matheology § 154: Consistency Proof!
Posted: Nov 23, 2012 4:19 PM

On 23 Nov., 20:54, William Hughes <wpihug...@gmail.com> wrote:

> Well, looks like communication
> has come to a halt.
>
> You are correct, if analysis requires
> that oo be described by digits
> then there is a contradiction in mathematics.
> I see no way of convincing you that oo
> cannot be expressed by digits, nor have
> you given any evidence other
> that vague handwaving that it can.

Clear mathematical formulas are not handwaving.

An analytical expression of infinity is this
Limit[n-->oo] SUM[k=0 to n] a_k*10^k = oo

An expression by digits means nothing but leaving the powers of 10
aside and writing from right to left, i.e., the abbreviation
..., a_k, ..., a_3, a_2, a_1, a_0
where for every k there exists a digit
a_(k+m) =/= 0, with m in |N.

This gives abbreviations like oo = ...111 = ...999
However, like sin(0) = sin(2pi) = sin(4pi) = 0 = 0+0
there is no problem with multi representation.

in any case the limit of my sequence
> > 01.
> > 0.1
> > 010.1
> > 01.01
> > 0101.01
> > 010.101
> > 01010.101
> > 0101.0101
> > ...

has infinitely many digits right to the point as well as left to the
point.

So it is incorrect to say that communication has come to a halt but it
is correct to say that you have no further arguments to defend your
position but do not want to admit that for reasons that I don't know.

Regards, WM

Date Subject Author
11/18/12 mueckenh@rz.fh-augsburg.de
11/18/12 Vurgil
11/18/12 William Hughes
11/18/12 Vurgil
11/19/12 mueckenh@rz.fh-augsburg.de
11/19/12 Vurgil
11/19/12 mueckenh@rz.fh-augsburg.de
11/19/12 William Hughes
11/19/12 mueckenh@rz.fh-augsburg.de
11/19/12 Vurgil
11/20/12 mueckenh@rz.fh-augsburg.de
11/20/12 Virgil
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/22/12 mueckenh@rz.fh-augsburg.de
11/22/12 William Hughes
11/22/12 mueckenh@rz.fh-augsburg.de
11/22/12 William Hughes
11/22/12 mueckenh@rz.fh-augsburg.de
11/22/12 William Hughes
11/22/12 mueckenh@rz.fh-augsburg.de
11/22/12 William Hughes
11/22/12 mueckenh@rz.fh-augsburg.de
11/22/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/23/12
11/23/12 Virgil
11/24/12 mueckenh@rz.fh-augsburg.de
11/24/12 Virgil
11/23/12 Virgil
11/24/12 mueckenh@rz.fh-augsburg.de
11/24/12 Virgil
11/25/12 mueckenh@rz.fh-augsburg.de
11/25/12 Virgil
11/25/12 mueckenh@rz.fh-augsburg.de
11/25/12 Virgil
11/23/12 Virgil
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/23/12 Virgil
11/23/12 Virgil
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/23/12 Virgil
11/23/12 Virgil
11/23/12 Virgil
11/22/12 Virgil
11/22/12 Virgil
11/22/12 Virgil
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/22/12 Virgil
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/22/12 Virgil
11/21/12 Virgil
11/21/12 Virgil
11/21/12 Virgil
11/21/12 Virgil
11/21/12 Virgil
11/21/12 Virgil
11/22/12 mueckenh@rz.fh-augsburg.de
11/19/12 Vurgil
11/20/12 mueckenh@rz.fh-augsburg.de
11/20/12 Virgil
11/22/12 David Valdez