Semantics for the blue calculus
Blue calculus | MonCat | 2Hilb | Set (as a one object bicategory) | |
Types | monoidal categories | manifolds | 2 Hilbert spaces | * |
Terms with one free variable | monoidal functors | manifolds with boundary | linear functors | sets |
Rewrite rules | monoidal natural transformation | manifolds with corners | linear natural transformations | functions |
Tensor product | juxtaposition (disjoint union) | tensor product | cartesian product | |
where is free | formal sum of cobordisms with boundary from to | sum of linear functors | disjoint union |
In the MonCat column, is the categorified version of the tensor product of monoids.
Axiom of fun choice
A fun choice function is a function defined on a collection of jobs that must be done such that for every job is an element of fun. The axiom of fun choice states,
For any set of jobs that must be done, there exists a fun choice function defined on
This axiom asserts that one can always find the fun in any job that must be done; a theorem of Poppins deduces from this that all such jobs are games.
Monster manual
What magical creature lives deep in the earth’s crust and has a horrible lisp? A BATHOLITHK.
Better than anything 2
Better than This Week from Baez,
Better than Lou Kauffman’s knots,
Better than all of the string theory
Witten’s forgot,
Better than Feynman’s graffiti,
Better than Calabi-Yau,
Better than Pauli’s neutrino,
Better than mu and than tau,
Better than Curie, Poincaré,
And Niels and Albert at Solvay
Better than anything except being in love.
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