Finitely axiomatized conservative set theories
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Is it possible to finitely axiomatize any theory conservatively by some generally applicable trick?
Do the Gödel and Bernays trick work for any set theory like ZFC+large cardinal axioms?
Is it possible to finitely axiomatize some conservative extension of set theory without introducing a new sort (the class sort) or an additional predicate like Gödel's sethood?
Thank you.
logic set-theory
asked Dec 10 '18 at 15:23
plmplm
90349
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add a comment |
$begingroup$
Is it possible to finitely axiomatize any theory conservatively by some generally applicable trick?
Do the Gödel and Bernays trick work for any set theory like ZFC+large cardinal axioms?
Is it possible to finitely axiomatize some conservative extension of set theory without introducing a new sort (the class sort) or an additional predicate like Gödel's sethood?
Thank you.
logic set-theory
asked Dec 10 '18 at 15:23
plmplm
90349
$endgroup$
$begingroup$
What do you mean by Godel's set-hood?.....
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– DanielWainfleet
Dec 17 '18 at 10:17
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I mean his 1st-order (basic) predicate in the formulation of Bernays-Gödel-Neumann set theory. en.wikipedia.org/wiki/Von_Neumann–Bernays–Gödel_set_theory, while Bernays used different sorts of variables.
$endgroup$
– plm
Dec 29 '18 at 11:55
add a comment |
$begingroup$
Is it possible to finitely axiomatize any theory conservatively by some generally applicable trick?
Do the Gödel and Bernays trick work for any set theory like ZFC+large cardinal axioms?
Is it possible to finitely axiomatize some conservative extension of set theory without introducing a new sort (the class sort) or an additional predicate like Gödel's sethood?
Thank you.
logic set-theory
asked Dec 10 '18 at 15:23
plmplm
90349
$endgroup$
Is it possible to finitely axiomatize any theory conservatively by some generally applicable trick?
Do the Gödel and Bernays trick work for any set theory like ZFC+large cardinal axioms?
Is it possible to finitely axiomatize some conservative extension of set theory without introducing a new sort (the class sort) or an additional predicate like Gödel's sethood?
Thank you.
logic set-theory
logic set-theory
asked Dec 10 '18 at 15:23
plmplm
90349
asked Dec 10 '18 at 15:23
plmplm
90349
asked Dec 10 '18 at 15:23
plmplm
90349
asked Dec 10 '18 at 15:23
plmplm
90349
asked Dec 10 '18 at 15:23
plmplm
90349
90349
$begingroup$
What do you mean by Godel's set-hood?.....
$endgroup$
– DanielWainfleet
Dec 17 '18 at 10:17
$begingroup$
I mean his 1st-order (basic) predicate in the formulation of Bernays-Gödel-Neumann set theory. en.wikipedia.org/wiki/Von_Neumann–Bernays–Gödel_set_theory, while Bernays used different sorts of variables.
$endgroup$
– plm
Dec 29 '18 at 11:55
add a comment |
$begingroup$
What do you mean by Godel's set-hood?.....
$endgroup$
– DanielWainfleet
Dec 17 '18 at 10:17
$begingroup$
I mean his 1st-order (basic) predicate in the formulation of Bernays-Gödel-Neumann set theory. en.wikipedia.org/wiki/Von_Neumann–Bernays–Gödel_set_theory, while Bernays used different sorts of variables.
$endgroup$
– plm
Dec 29 '18 at 11:55
$begingroup$
What do you mean by Godel's set-hood?.....
$endgroup$
– DanielWainfleet
Dec 17 '18 at 10:17
$begingroup$
What do you mean by Godel's set-hood?.....
$endgroup$
– DanielWainfleet
Dec 17 '18 at 10:17
$begingroup$
I mean his 1st-order (basic) predicate in the formulation of Bernays-Gödel-Neumann set theory. en.wikipedia.org/wiki/Von_Neumann–Bernays–Gödel_set_theory, while Bernays used different sorts of variables.
$endgroup$
– plm
Dec 29 '18 at 11:55
$begingroup$
I mean his 1st-order (basic) predicate in the formulation of Bernays-Gödel-Neumann set theory. en.wikipedia.org/wiki/Von_Neumann–Bernays–Gödel_set_theory, while Bernays used different sorts of variables.
$endgroup$
– plm
Dec 29 '18 at 11:55
add a comment |
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$begingroup$
What do you mean by Godel's set-hood?.....
$endgroup$
– DanielWainfleet
Dec 17 '18 at 10:17
$begingroup$
I mean his 1st-order (basic) predicate in the formulation of Bernays-Gödel-Neumann set theory. en.wikipedia.org/wiki/Von_Neumann–Bernays–Gödel_set_theory, while Bernays used different sorts of variables.
$endgroup$
– plm
Dec 29 '18 at 11:55