The Presheaf of Conditional Expectations, a Bridge Between Probability and Intuitionistic Truth Value

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Abstract

Research for a theory of quantum gravity has recently led to the use of presheaf topos. Quantum uncertainty is linked to the truth values of intuitionistic logic. This paper proposes transposing this model into a classic probability context, that of conditional mathematical expectations. A simulation of Brownian motion is offered for illustrative purposes.

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europepmc
last seen: 2026-05-19T01:45:01.086888+00:00
unpaywall
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License: CC-BY-4.0