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A Logic for Arguing About Probabilities in Measure Teams

We use sets of assignments, a.k.a. teams, and measures on them to define probabilities of first-order formulas in given data. We then axiomatise first-order properties of such probabilities and prove a completeness theorem for our axiomatisation. We use the Hardy-Weinberg Principle of biology and the Bell's Inequalities of quantum physics as examples.

preprint2016arXivOpen access
Tapani HyttinenGianluca PaoliniJouko Väänänen
math.LO
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Open access3 authors1 topic
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Tapani HyttinenGianluca PaoliniJouko Väänänen

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