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lines changed Original file line number Diff line number Diff line change @@ -39,10 +39,7 @@ open AllCombinators pt fe
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One can consider System F resizing in a universe polymorphic form, but we think
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this should be inconsistent due to some form of Girard’s Paradox. This is
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because it gives nested impredicative universes which is known to be
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- inconsistent. However, there are lots of details to check here. It would be nice
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- to have this paradox in TypeTopology.
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-
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- TODO: show that the following axiom is inconsistent.
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+ inconsistent. However, there are lots of details to check here.
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\begin{code}
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@@ -52,6 +49,9 @@ Generalized-System-F-Resizing 𝓤 𝓥 =
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\end{code}
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+ TODO: prove that this generalized form is inconsistent.
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The special case of this notion of resizing where we pick `𝓤 := 𝓤₀` and
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`𝓥 := 𝓤₁` should be consistent.
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