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math.CT2021★ 2 cited
A Categorical Construction of the Real Unit Interval
John van de Wetering
The real unit interval is the fundamental building block for many branches of mathematics like probability theory, measure theory, convex sets and homotopy theory. However, a prior…
math.CT2020★ 1 cited
Dichotomy between Deterministic and Probabilistic Models in Countably Additive Effectus Theory
Kenta Cho, Bas Westerbaan, John van de Wetering
Effectus theory is a relatively new approach to categorical logic that can be seen as an abstract form of generalized probabilistic theories (GPTs). While the scalars of a GPT are…