Pitowsky's work on correlations polytopes shows that classical probability models can reproduce quantum statistics if one relaxes the assumption of global value-definite assignments.

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Classical probability(as the standard system being compared to weaker systems): The traditional mathematical system for measuring likelihood, based on rules developed centuries ago (like the rule that probabilities must add up to 1).
Correlation polytopes(the mathematical objects Pitowsky studied): Mathematical shapes that represent all the possible ways measurements can be correlated (related to each other) in a system; think of it like a geometric way to map out what combinations of results are possible.
Global(as opposed to local or piecemeal assignments): Applying to the entire system all at once, rather than to just individual parts separately.
Itamar Pitowsky(as the researcher whose work is being discussed): An Israeli physicist and philosopher who studied the mathematical foundations of quantum mechanics and probability theory, particularly exploring the limits of what classical physics can explain.
Quantum statistics(as used in quantum mechanics): The mathematical rules that describe how often different measurement results show up when you repeat quantum experiments many times.
Value-definite assignments(as an assumption being questioned in quantum mechanics): The assumption that physical properties (like an electron's position or spin) have real, specific values at all times, even when we're not looking at them.

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