===== Foundational temp1 ===== | [[Drawing arrows and coding functions]] $\succ$ Foundational temp1 $\succ$ [[Foundational temp1b]] | ==== Guide ==== (Note) [[Logic]] (Note) [[Specifying syntax]] >**Remark**: With the Framework entries, I go up in complexity. Then, with the entries with mathematical content, I start with abstract and go to concrete. (Framework) [[Intuitionistic propositional logic]] (Note) [[Predicate logic]] ----- (Note) [[First-order theory of groups]] >todo (Framework) [[First-order Peano arithmetic]] >todo ----- (Framework) [[Set theory]] Explanation of axiomatics, in particular ZFC and also the Grothendieck-Tarski axiom (a large cardinal axiom). Discussion of basic concepts such as the [[Unordered pair]]. ----- (Framework) [[Category theory]] >**Todo**: >Split [[Category theory]] in two. I.e. make a (Framework) entry on Category theory, axiomized directly in logic and another (Note) entry for Category theory within type theory. ----- (Note) [[Type theory]] >todo (Type) [[Type]] (Type) [[Function type]] (Type) [[Product type]] >**Todo**: Introduce in a chain of entries more and more expressible type theories. The guideline being that each entry is a "faithful subset" of the next. ----- === Sequel of === [[Drawing arrows and coding functions]]