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_chapters/01_set.md
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@ -327,7 +327,7 @@ Isomorphisms Between Singleton Sets
Between any two singleton sets, we may define the only possible function.
![The only possible function between sungletons](singleton_function.svg)
![The only possible function between singletons](singleton_function.svg)
The function is invertible, which means that all singleton sets are isomorphic to one another.

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_chapters/04_order/semilattice_tree.svg
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4
_chapters/05_logic.md
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@ -438,9 +438,9 @@ So **True** and **False** are just the *greatest* and *least* objects of our ord
![The whole logical system, represented as a Hasse diagram](lattice_true_false.svg)
This is another example of the categorical concept of duality - * **True** and **False** are dual to each other*, (which makes a lot of sense if you think about it).
This is another example of the categorical concept of duality - ***True** and **False** are dual to each other*, (which makes a lot of sense if you think about it).
So in order to represent logic, our distributive lattice has to also be *bounded* i.e. it has to have greatest and least elements.
So in order to represent logic, our distributive lattice has to also be *bounded* i.e. it has to have greatest and least elements (which play the roles of **True** and **False**).
The *implies* operation
---

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7
dictionary.txt
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@ -29,6 +29,7 @@ Monoid
Monoids
isomorphism
isomorphisms
Isomorphisms
Hasse
Antisymmetry
connexity
@ -73,3 +74,9 @@ Curry-Howard-Lambek
Curry-Howard
Lambek
cartesian
functor
functors
Functor
Functors
Endofunctors
invertible