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Topic: CANTORS PROOF IS JUST THE INDUCTIVE STEP!
Replies: 6   Last Post: Nov 1, 2012 5:31 AM

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 Hercules ofZeus Posts: 27 Registered: 9/19/11
Re: CANTORS PROOF IS JUST THE INDUCTIVE STEP!
Posted: Nov 1, 2012 5:00 AM

On Nov 1, 6:37 pm, William Elliot <ma...@panix.com> wrote:
> On Thu, 1 Nov 2012, Hercules ofZeus wrote:
> > > > INDUCTION RULE:
>
> > > > P(1) & P(n)->P(S(n))
> > > > --> ALL(n) P(n)

>
> > > You're wrong. The induction rule is:
> > > P(1) & ALL(n)(P(n) -> P(S(n))) -> ALL(n) P(n).

>
> > OK, in my new logic forall is variable function that uses the double
> > instantiaion rule.

>
> > p(1) ^ N(p(N)->p(s(N))
> > -> N(p(N))

>
> What's N?
>

> > CAPS = VARIABLES
>
> CAPS is a variable?
>

> > lower = terms / function terms.
>
> > i.e. the scope of N(...) is wider than the same variable name
> > (...N...)

>
> Huh?
>

> > Just my new high order logic syntax forwww.microPROLOG.com!
>
> Wow, a high order of junk logic.
>

Hey if you don't like the final frontier in mathematics..

p(1) ^ N(p(N)->p(s(N))
-> N(p(N))

I gain no benefit by sharing..

Herc
--
www.microPROLOG.com
if( if(t(S),f(R)) , if(t(R),f(S)) ).

if the sun's out then it's not raining
ergo
if it's raining then the sun's not out

Date Subject Author
11/1/12 Hercules ofZeus
11/1/12 William Elliot
11/1/12 Hercules ofZeus
11/1/12 William Elliot
11/1/12 Hercules ofZeus
11/1/12 William Elliot
11/1/12 Graham Cooper