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 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.
   • CommentAuthorkyod
   • CommentTimeOct 30th 2018
   • PermaLink
   Author: kyod
   Format: MarkdownItexPage created, but author did not leave any comments. <a href="https://ncatlab.org/nlab/revision/Initiality+Project+-+Type+Theory+-+Type+equality/1">v1</a>, <a href="https://ncatlab.org/nlab/show/Initiality+Project+-+Type+Theory+-+Type+equality">current</a>

   Page created, but author did not leave any comments.

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorMike Shulman
   • CommentTimeOct 30th 2018
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexThanks! Is there a reason to have these be included sub-pages? I started that for the "packages" of rules that go along with type-formers like $\Pi$, $\Sigma$, etc., so that we could pull out all the rules and clauses related to (say) $\Pi$-types on a separate page. Do you think we'd want to do that with equality too? It's not like a type former that could be added or subtracted from the theory, the equality rules *have* to be there.

   Thanks!

   Is there a reason to have these be included sub-pages? I started that for the “packages” of rules that go along with type-formers like $\Pi$, $\Sigma$, etc., so that we could pull out all the rules and clauses related to (say) $\Pi$-types on a separate page. Do you think we’d want to do that with equality too? It’s not like a type former that could be added or subtracted from the theory, the equality rules have to be there.

3. • CommentRowNumber3.
   • CommentAuthorkyod
   • CommentTimeOct 31st 2018
   • PermaLink
   Author: kyod
   Format: MarkdownItexI thought that it might be nice to have the ability to repackage all the equational theory in one place later. I'm not confident that it's actually feasible though.

   I thought that it might be nice to have the ability to repackage all the equational theory in one place later. I’m not confident that it’s actually feasible though.