Not signed in (Sign In)

Not signed in

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

  • Sign in using OpenID

Site Tag Cloud

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 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 nforum 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

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

nLab > Latest Changes: epistemology of mathematics

Bottom of Page

1 to 4 of 4

  1.  

  1. starting article on epistemology of mathematics which was previously linked on philosophy of mathematics but went to no article.

    Anonymous

    v1, current

  2. Adding reference

    Anonymous

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorGuest
    • CommentTimeNov 29th 2022

    There’s a lot more which could be said about the epistemology of mathematics, including but not limited to

    • deduction systems and in particular natural deduction, and epistemology as deductive proof

    • comparing different foundations of mathematics and its impact on mathematical knowledge

    • the intersection of epistemology of mathematics and the history of mathematics, and how time evolution of mathematics has impacted mathematical knowledge

    • social epistemology and social constructivism, i.e. how the mathematical community creates knowledge, and demarcates knowledge from non-knowledge/pseudomathematics;

    • how mathematical pluralism and epistemic relativism in the foundations of mathematics leads to normative decisions about epistemology in the foundations of mathematics, including the material vs structural set theory debate, the set theory vs type theory debate, and the set-level vs higher foundations debate.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeDec 28th 2022

    cross-linked with epistemology

    diff, v3, current

1 to 4 of 4

  1.