Joel David Hamkins

mathematics and philosophy of the infinite

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Tag Archives: NWO

Modal logics in set theory, NWO grants, 2006 – 2008

Posted on April 30, 2006 by Joel David Hamkins

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Modal logics in set theory, (with Benedikt Löwe), Nederlandse Organisatie voor Wetenschappelijk (B 62-619), 2006-2008.

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Posted in Grants and Awards | Tagged Amsterdam, NWO | Leave a reply

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Comment by Joel David Hamkins on Is the lexicographic ordering on the unit square perfectly normal?
He's using the same definition as in Wikipedia: en.wikipedia.org/wiki/Normal_space.
Comment by Joel David Hamkins on Is the lexicographic ordering on the unit square perfectly normal?
He means the closed unit square, for otherwise it won't be compact.
Comment by Joel David Hamkins on Is the lexicographic ordering on the unit square perfectly normal?
Wikipedia on this space: en.wikipedia.org/wiki/…. (Very interesting question!)
Comment by Joel David Hamkins on Proofs without words
Oh yes, I've enjoyed many of your questions on MO over the years.
Comment by Joel David Hamkins on Proofs without words
I think you mean to refer to the impossibility of an integer isosceles right triangle, since clearly one can have isosceles triangles with integer sides, such as an equilateral unit triangle.
Comment by Joel David Hamkins on Can $H_{\omega_1}$ and $H_{\omega_2}$ be in bi-interpretation synonymy?
And thank you very much for the second part of your answer. I am definitely interested if you could track down a suitable reference for the claim about whether $\omega_2$ injects into $H_{\omega_1}$.
Comment by Joel David Hamkins on Can $H_{\omega_1}$ and $H_{\omega_2}$ be in bi-interpretation synonymy?
This is enough for a positive answer to the first question, because one uses the well order to pick representatives, and then uses Shroeder-Bernstein to make a synonymy. Thanks!
Comment by Joel David Hamkins on Can $H_{\omega_1}$ and $H_{\omega_2}$ be in bi-interpretation synonymy?
It seems to be this: doi.org/10.1016/0003-4843(77)90004-3. And the main theorem B is just what you say.

New York Logic

Title TBA
Resource Sharing Linear Logic, I
Sub-Kripkean epistemic models I
Generic logical semantics of justifications III
Generic logical semantics of justifications II
Generic logical semantics of justifications.
Cut Elimination
Functors and infinitary interpretations of structures
Recursive Reducts of PA III
Kripke completeness of strictly positive modal logics and related problems

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