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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorMike Shulman
   • CommentTimeSep 17th 2021
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexGave this a dedicated page. <a href="https://ncatlab.org/nlab/revision/axiom+of+full+comprehension/1">v1</a>, <a href="https://ncatlab.org/nlab/show/axiom+of+full+comprehension">current</a>

   Gave this a dedicated page.

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeSep 18th 2021
   • (edited Sep 18th 2021)
   • PermaLink
   Author: Urs
   Format: MarkdownItexhave added some more hyperlinks throughout <a href="https://ncatlab.org/nlab/revision/diff/axiom+of+full+comprehension/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/axiom+of+full+comprehension/2">v2</a>, <a href="https://ncatlab.org/nlab/show/axiom+of+full+comprehension">current</a>

   have added some more hyperlinks throughout

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorDavid_Corfield
   • CommentTimeSep 18th 2021
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItex> This permits a “set of all sets” but still appears to avoid paradox. "Appears" in the sense of believed but not known?

   This permits a “set of all sets” but still appears to avoid paradox.

   “Appears” in the sense of believed but not known?

4. • CommentRowNumber4.
   • CommentAuthorDavidRoberts
   • CommentTimeSep 18th 2021
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItexIt is conjectured that NF is equiconsistent with usual set theories, but though a proof is claimed it is not clear yet if it works. NFU is a different matter...

   It is conjectured that NF is equiconsistent with usual set theories, but though a proof is claimed it is not clear yet if it works. NFU is a different matter…