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- Causal Sets and Frame-Valued Set Theory

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12050049

In spacetime physics any set *C* of events—a *causal set—*is taken to be partially ordered by the relation £ of *possible causation*: for *p, q *Î C, *p *£ *q *means that *q *is in *p’s *future light cone. Fotini Markopoulou has proposed that the causal structure of spacetime itself be represented by “sets evolving over C” —that is, in essence, by the topos Set ^{C} of presheaves on C^{op. } In this talk I am going to show how Set ^{C} may be effectively replaced by a certain model *V ^{(H)}*of intuitionistic set theory—

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