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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.
   • CommentAuthorTobyBartels
   • CommentTimeJan 3rd 2021
   • PermaLink
   Author: TobyBartels
   Format: MarkdownItexReorganized and added to the list of types of numbers. <a href="https://ncatlab.org/nlab/revision/diff/number/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/number/6">v6</a>, <a href="https://ncatlab.org/nlab/show/number">current</a>

   Reorganized and added to the list of types of numbers.

   diff, v6, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeFeb 7th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Leo Corry]], *A Brief History of Numbers*, Oxford University Press &lbrack;[ISBN:9780198702597](https://global.oup.com/academic/product/a-brief-history-of-numbers-9780198702597)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/number/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/number/7">v7</a>, <a href="https://ncatlab.org/nlab/show/number">current</a>

   added pointer to:

   • Leo Corry, A Brief History of Numbers, Oxford University Press [ISBN:9780198702597]

   diff, v7, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeFeb 8th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded a section *In dependent type thery* ([here](https://ncatlab.org/nlab/show/number#InDependentTypeTheory)) displaying the construction, assuming $\mathbb{N}$, of $\mathbb{Z}$, $\mathbb{Q}$, $\mathbb{R}$ (Bishop style) and $\mathbb{C}$ as ring data structures (omitting only the construction of all the property certificates). It's a substantial edit, but still a little terse. To be expanded a little more. <a href="https://ncatlab.org/nlab/revision/diff/number/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/number/8">v8</a>, <a href="https://ncatlab.org/nlab/show/number">current</a>

   added a section In dependent type thery (here) displaying the construction, assuming $\mathbb{N}$, of $\mathbb{Z}$, $\mathbb{Q}$, $\mathbb{R}$ (Bishop style) and $\mathbb{C}$ as ring data structures (omitting only the construction of all the property certificates).

   It’s a substantial edit, but still a little terse. To be expanded a little more.

   diff, v8, current