Re: THE THREE "LAWS OF THOUGHT"

From: Immortalist (Reanimater_2000_at_yahoo.com)
Date: 10/12/04 

Date: Mon, 11 Oct 2004 22:45:52 -0700

"Keckman" <keckman@welho.com> wrote in message
news:opsfqry4u43uk9lu@cs81133.pp.htv.fi...
> On Mon, 11 Oct 2004 11:48:28 -0700, Immortalist
> <Reanimater_2000@yahoo.com> wrote:
>
> > "You're very clever, young man, very clever," said the old lady. "But
> > it's turtles all the way down."
> >
>
> Perhaps to the infinity?
>
> That old lady is like math today.
>
> Math have come to a conclusion, that from n=n+1 in Peano's axiom follow
> that
> N is infinity allthough that n=n+1 grows up as much bigness as amount of
> numbers.
>
> Math has put to Natural numbers something that does not come's from
> Peano's axiom.
>
> Because everything is relative you can allways multiple the amount by 2.
> The more far away you are the more you have to go.
>

You might have a hard time showing that it is deductive that "You can always
multiply the amount by two" because that is an inductive theory based upon a
probability which you have not shown. You might or might not be able to always
multiply the remainder by 2 but it is not that case that it is necessarily the
case by definition that you can always continue multiplying or not.

"An antinomy produces a self-contradiction by accepted ways of reasoning. It
establishes that some tacit and trusted pattern of reasoning must be made
explicit and henceforward be avoided or revised," writes a modern logician W. V.
Quine, in The Ways of Paradox (1966), p.7.

Antinomies are contradictions that Kant believed follow necessarily from our
attempts to conceive the nature of transcendent reality. Kant thought the
Antinomies cannot be resolved and that attempts to conceive the transcendent will
always produce irresolvable contradictions. This does not mean that there is no
transcendent or that attempts to conceive the transcendent are meaningless. They
are, just as Kant said, necessitated by reason itself. It does mean, however,
that the transcendent defeats rational representation.

antinomies ('conflict of laws') which are usually described as 'paradox' or
'contradiction'. An example of one Kant sought to deal with is whether the
universe has a beginning (first cause) or whether it has always existed.

 The contradiction arises because valid arguments
 can be made in favour of both views. If
 unresolved this antimony could lead to 'the
 euthanasia of pure reason' (skepticism).

Thus Kant believed antinomies must be reconciled.

http://www.faithnet.org.uk/Philosophy/kant.htm

> Of course, i'm not saying that N is finite in a way that there is biggest
> number.
> Just N->oo but not N=oo.
>

By definition that is a function. True. It is analytic in the sense that the
function is necessary by definition. But the ability to continue this function is
synthetic in the sense the what is in the predicate is not necessarily defined
even covertly by the subject and hence you must go outside the subject to
determine the predicates value. For the function describes one operation and you
are adding to it by saying how many times this can happen and without evidence
loc.

>
>
> --
> amount and bigness
> 1+1+1+...= infinite and finite in math today
> Petri Keckman

Relevant Pages

  • Re: THE THREE "LAWS OF THOUGHT"
    ... Antinomies are contradictions that Kant believed follow necessarily from our ... Antinomies cannot be resolved and that attempts to conceive the transcendent will ...
    (sci.logic)
  • Re: Goedel applied to the real-world
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  • Re: Challenge from Christopher Hitchens
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