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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 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 sheaves 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.
   • CommentAuthorUrs
   • CommentTimeJul 7th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to p. 245 of _[[Sets for Mathematics]]_ for the idea of $$ U X \;\colon\; \array{ comodal X &\longrightarrow& X &\longrightarrow& modal X \\ opposite\;1 && unity && opposite\;2 } $$ <a href="https://ncatlab.org/nlab/revision/diff/adjoint+modality/60">diff</a>, <a href="https://ncatlab.org/nlab/revision/adjoint+modality/60">v60</a>, <a href="https://ncatlab.org/nlab/show/adjoint+modality">current</a>

   added pointer to p. 245 of Sets for Mathematics for the idea of

   $$U X \;\colon\; \array{ comodal X &\longrightarrow& X &\longrightarrow& modal X \\ opposite\;1 && unity && opposite\;2 }$$

   diff, v60, current

2. • CommentRowNumber2.
   • CommentAuthorncfavier
   • CommentTimeFeb 28th 2023
   • PermaLink
   Author: ncfavier
   Format: MarkdownItexShouldn't it be Werden : Nichts ⊣ Sein ?

   Shouldn’t it be Werden : Nichts ⊣ Sein ?

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeMar 1st 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexWoops. Thanks for catching this. Fixed now ([here](https://ncatlab.org/nlab/show/adjoint+modality#Werden)). <a href="https://ncatlab.org/nlab/revision/diff/adjoint+modality/62">diff</a>, <a href="https://ncatlab.org/nlab/revision/adjoint+modality/62">v62</a>, <a href="https://ncatlab.org/nlab/show/adjoint+modality">current</a>

   Woops. Thanks for catching this. Fixed now (here).

   diff, v62, current