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How does Reinhardt's extension of the set-theoretic universe beyond $V_\Omega$ work?

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#set-theory #ordinals #transfinite-recursion #alternative-set-theories #transfinite-induction
247
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Is $x=\{x,\{x\},\{x,\{x\}\},...\}$ a thing? $\lor$ Do fractal sets exist?

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#reference-request #online-resources #alternative-set-theories
114
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Why is V a proper class in positive set theory?

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#alternative-set-theories
139
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Good books on non-standard logics/set theories.

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#constructive-mathematics #intuitionistic-logic #alternative-set-theories
546
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Is there a non-standard set theory that makes use of a null element?

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#logic #reference-request #notation #alternative-set-theories
98
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Can this rule of inference do replace axiom of extensionality?

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#elementary-set-theory #logic #set-theory #natural-deduction #alternative-set-theories
54
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functional analysis with the axiom of determinacy

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#functional-analysis #alternative-set-theories
76
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Infinitary logic positive set theory

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#logic #set-theory #axioms #alternative-set-theories
124
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Is there a universal group in NFU?

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#abstract-algebra #logic #foundations #alternative-set-theories
116
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Proof that universal class is a proper class?

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#analysis #set-theory #alternative-set-theories
306
Views

Surreal numbers in set theories other than ZFC

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#soft-question #surreal-numbers #alternative-set-theories
1.5k
Views

Cardinality of universal set?

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#alternative-set-theories
734
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About ordinals and cardinals in structural set theory

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#soft-question #category-theory #alternative-set-theories
114
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Is there a conservative extension of IZF that extends IZF by a weak form of the axiom of choice?

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#model-theory #constructive-mathematics #intuitionistic-logic #alternative-set-theories
1.3k
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Is there a set theory in which the reals are not a set but the natural numbers are?

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#set-theory #alternative-set-theories

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