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Answer by Fedor Pakhomov for How to build large recursive ordinals using...

There are at least two fundamentally different ways how one could reach Bachmann-Howard ordinal using dilator and ptykes.One way is to allow recursion on ordinals for ptykes for all finite types. Then...

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How to build large recursive ordinals using Dillator and/or Ptykes?

I've only recently learned about Girard's theory of Dilators and Ptykes, and I find this theory very elegant, but it is not clear at all to me whether/how it can be used to produce ordinal notations...

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