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Dec 13, 2020 at 3:30 vote accept none
May 22, 2020 at 12:36 comment added Sam Sanders The main theme of the "Splittings and ..." paper is the following: on one hand there are only few results in second-order Reverse Mathematics where one can prove $A\leftrightarrow [B \wedge C]$ (a splitting), where $B$ and $C$ are independent and natural. There are only very few results in second-order Reverse Mathematics where one can prove $D\leftrightarrow [E \vee F]$ (a disjunction), where $E$ and $F$ are independent and natural. On the other hand, I identify a plethora of such splittings and disjunctions in higher-order Reverse Mathematics. I also discuss the cause of this observation.
May 20, 2020 at 22:42 comment added none Thanks! For those following along, "Splitting and Disjunctions" is here and this paper also looks relevant. I'm still reading them.
May 19, 2020 at 8:17 history edited Sam Sanders CC BY-SA 4.0
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May 18, 2020 at 10:56 history answered Sam Sanders CC BY-SA 4.0