Re: Early mathematicians saw the skolem paradox as a contradiction-



"David C. Ullrich" wrote:

On Tue, 22 Apr 2008 07:39:59 -0500, "elsiemelsi"
<cyprinsam@xxxxxxxxxxxxxxx> wrote:

rupert says

Yes, we must have a look at the context of this quote.

He didn't think it proved ZFC to be inconsistent.

He was a competent mathematician.


i say
skolem and most of the early mathematicians saw it as an antinom
contradiction in set theory
they are refereing to set theory when they say there is an antinomy
zfc is set theory if set theory is in contradiction then so is ZFC -jus
put the dots together
even John von Neumann said along with skolems solution the paradox show
there is no way of rehabilitating set theory- why because it is i
contradiction antinomy- and set theory is ZFC

http://www.math.ucla.edu/~asl/bsl/0602/0602-001.ps

"At present we can do no more than note that we have ONE MORE reason her
to entertain reservations about set theory and that for the time being n
way of rehabilitating this theory is known." â?? ([[John von Neumann]"Th
Bulletin of symbolic logic" Vol.6, no 2. June 2000, pp. 148

use your brains rupert

Use _your_ brain. If von Neumann thought that this meant that
ZFC was inconsistent he wouldn't have said "one more reason to
entertain reservations". One doesn't "entertain reservations"
about an inconsistent theory, one throws it out.

set theory is in contradiction due to skolem
note Fraenkal is saying there is an antinomy in set theory due to th
paradox
and even if none of them said in clear language that set theory i
inconsistent nevertheless
if set theory has an antinomy that makes it inconsistent

No. "antinomy" is not the same as "inconsistency".

You're being fascinatingly stupid here, for a philosopher.
You admit that none of those quotes say what you've
said they say. But you insist that nonetheless they say
what you've said they say.

It's willful stupidity, which is standard operating procedure
for trolls.

Sometimes arguing with them is irresistible, isn't it?

Just bear in mind, this is a debate you can't win:

"Against stupidity, the gods themselves contend in vain."

- Friedrich von Schiller -
--
hz


that then make
ZFC inconsistent as ZFC is set theor

-
Message posted using http://www.talkaboutscience.com/group/sci.logic
More information at http://www.talkaboutscience.com/faq.htm

David C. Ullrich
.

Relevant Pages
Quantcast