3 thoughts on “Joyal: Arithmetisation dans le topos

    1. It talks mostly about classifying toposes, but also gives at least a rough definition and some examples of what Joyal thinks should be an arithmetic universe:

      Universe arithmetique: Topos ÷ chose [sic] qui ne sont pas invariant par j* (Arithmetic universe: topos ÷ things which are not invariant under j*)
      1. pretopos
      2. free categories on [internal] graphs exist

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