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 Posted: Wed Mar 18, 2009 7:42 pm |
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Guest
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[quote:c81b966931]Let U be the set of urelements and Ui a set of urelements.
The infinite Cartesian product of U1, U2, U3,............
is empty if the negation of the axiom of choice is applied.
No, you have quantifier dyslexia. The negation of AC says only that
SOME infinite Cartesian products are empty, not that ALL are.
The infinte product of sets of urelements is void. It is the case for[/quote:c81b966931]
urelements.
Your comment on urelements indistinguishable and non sets : you read
wrong.
Adib Ben Jebara. |
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| Langevinger66... |
| Posted: Thu Mar 19, 2009 5:24 am |
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On 19 mrt, 06:42, adib.jeb... at (no spam) topnet.tn wrote:
[quote:2d6b85fe44]Let U be the set of urelements and Ui a set of urelements.
The infinite Cartesian product of U1, U2, U3,............
is empty if the negation of the axiom of choice is applied.
No, you have quantifier dyslexia. The negation of AC says only that
SOME infinite Cartesian products are empty, not that ALL are.
The infinte product of sets of urelements is void. It is the case for
urelements.
Your comment on urelements indistinguishable and non sets : you read
wrong.
Adib Ben Jebara.
[/quote:2d6b85fe44]
plof gggggg tsss big bang |
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