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| Frederick Williams... |
 Posted: Sat Oct 31, 2009 5:38 am |
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Does third order number theory settle CH?
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Which of the seven heavens / Was responsible her smile /
Wouldn't be sure but attested / That, whoever it was, a god /
Worth kneeling-to for a while / Had tabernacled and rested. |
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| Aatu Koskensilta... |
| Posted: Sat Oct 31, 2009 6:26 am |
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Frederick Williams <frederick.williams2 at (no spam) tesco.net> writes:
[quote]Does third order number theory settle CH?
[/quote]
Yes and no, just as with second-order set theory.
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Aatu Koskensilta (aatu.koskensilta at (no spam) uta.fi)
"Wovon mann nicht sprechen kann, darüber muss man schweigen"
- Ludwig Wittgenstein, Tractatus Logico-Philosophicus |
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| Newberry... |
| Posted: Sat Oct 31, 2009 5:49 pm |
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On Oct 31, 5:26 am, Aatu Koskensilta <aatu.koskensi... at (no spam) uta.fi> wrote:
[quote]Frederick Williams <frederick.willia... at (no spam) tesco.net> writes:
Does third order number theory settle CH?
Yes and no, just as with second-order set theory.
--
Aatu Koskensilta (aatu.koskensi... at (no spam) uta.fi)
"Wovon mann nicht sprechen kann, darüber muss man schweigen"
- Ludwig Wittgenstein, Tractatus Logico-Philosophicus
[/quote]
Why do spell the first "mann" with double n and the second "man" with
one n? |
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| Trop... |
| Posted: Mon Nov 02, 2009 2:38 am |
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On Oct 31, 2:26 pm, Aatu Koskensilta <aatu.koskensi... at (no spam) uta.fi> wrote:
[quote]Frederick Williams <frederick.willia... at (no spam) tesco.net> writes:
Does third order number theory settle CH?
Yes and no, just as with second-order set theory.
--
Aatu Koskensilta (aatu.koskensi... at (no spam) uta.fi)
"Wovon mann nicht sprechen kann, darüber muss man schweigen"
- Ludwig Wittgenstein, Tractatus Logico-Philosophicus
[/quote]
Explain, pls, what you mean by "Yes and no". What is the main features
of Second (or Third) Order Set theory comparing with first order one? |
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| Trop... |
| Posted: Mon Nov 02, 2009 2:39 am |
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On Nov 2, 2:38 pm, Trop <trop.ser... at (no spam) gmail.com> wrote:
[quote]On Oct 31, 2:26 pm, Aatu Koskensilta <aatu.koskensi... at (no spam) uta.fi> wrote:
Frederick Williams <frederick.willia... at (no spam) tesco.net> writes:
Does third order number theory settle CH?
Yes and no, just as with second-order set theory.
--
Aatu Koskensilta (aatu.koskensi... at (no spam) uta.fi)
"Wovon mann nicht sprechen kann, darüber muss man schweigen"
- Ludwig Wittgenstein, Tractatus Logico-Philosophicus
Explain, pls, what you mean by "Yes and no". What is the main features
of Second (or Third) Order Set theory comparing with first order one?
[/quote]
Sergei Tropanets |
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| Frederick Williams... |
| Posted: Sun Nov 08, 2009 6:43 am |
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Newberry wrote:
[quote]
On Oct 31, 5:26 am, Aatu Koskensilta <aatu.koskensi... at (no spam) uta.fi> wrote:
Frederick Williams <frederick.willia... at (no spam) tesco.net> writes:
Does third order number theory settle CH?
Yes and no, just as with second-order set theory.
--
Aatu Koskensilta (aatu.koskensi... at (no spam) uta.fi)
"Wovon mann nicht sprechen kann, darüber muss man schweigen"
- Ludwig Wittgenstein, Tractatus Logico-Philosophicus
Why do spell the first "mann" with double n and the second "man" with
one n?
[/quote]
The quotation[1] is
Wovon man nicht sprechen kann,
daruber muss man schweigen.
were the first 'u' has an umlaut and the double ess is one of those
beta-like things.
[1] Last paragraph of Tractus Logico-Philosophicus, Routledge & Kegan
Paul, 1971
..
--
Which of the seven heavens / Was responsible her smile /
Wouldn't be sure but attested / That, whoever it was, a god /
Worth kneeling-to for a while / Had tabernacled and rested. |
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