Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
  
  
• Remember me

• Forgot your password?
• Apply for membership

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 definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration finite 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 k-theory lie-theory limits linear linear-algebra locale localization logic mathematics 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.
   • CommentAuthorDmitri Pavlov
   • CommentTimeJun 5th 2022
   • (edited Jun 5th 2022)
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexMore than half of this list is devoted to listing various proof assistants and formalization projects. Does this topic really warrant such an oversized representation in an article with a generic title “mathematics”? Also, [[Categories and Sheaves]], [[Sheaves in Geometry and Logic]], [[Higher Topos Theory]] are good books, but do they really deserve such a prominent placement on top of the article? I suggest removing them. <a href="https://ncatlab.org/nlab/revision/diff/mathematics/42">diff</a>, <a href="https://ncatlab.org/nlab/revision/mathematics/42">v42</a>, <a href="https://ncatlab.org/nlab/show/mathematics">current</a>

   More than half of this list is devoted to listing various proof assistants and formalization projects. Does this topic really warrant such an oversized representation in an article with a generic title “mathematics”?

   Also, Categories and Sheaves, Sheaves in Geometry and Logic, Higher Topos Theory are good books, but do they really deserve such a prominent placement on top of the article? I suggest removing them.

   diff, v42, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 6th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexYes, this content list (and its cousins) needs attention. The bulk of the edits to this page happened back in 2009, when the nLab was a rather different place.

   Yes, this content list (and its cousins) needs attention. The bulk of the edits to this page happened back in 2009, when the nLab was a rather different place.

3. • CommentRowNumber3.
   • CommentAuthorDmitri Pavlov
   • CommentTime16 hours ago
   • (edited 16 hours ago)
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexThis article (unlike [[physics]] and [[philosophy]]) was a bare list of links. I added the following introductory text: __Mathematics__ is the part of [[science]] that constructs and studies [[mathematical objects]] used to implement mathematical models. The results of study are organized into [[definitions]], [[theorems]], and [[proofs]]. Subfields of mathematics include the following: <a href="https://ncatlab.org/nlab/revision/diff/mathematics/44">diff</a>, <a href="https://ncatlab.org/nlab/revision/mathematics/44">v44</a>, <a href="https://ncatlab.org/nlab/show/mathematics">current</a>

   This article (unlike physics and philosophy) was a bare list of links. I added the following introductory text:

   Mathematics is the part of science that constructs and studies mathematical objects used to implement mathematical models. The results of study are organized into definitions, theorems, and proofs.

   Subfields of mathematics include the following:

   diff, v44, current