Introduces Soft probabilities via Soft Numbers as an infinitesimal refinement of classical probability, suggests adding an infinitesimal probability axiom to Kolmogorov's axioms, and constructs a Mobius strip representation to illuminate Hilbert's sixth problem.
Soft logic and numbers
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Hilbert's Sixth Problem and Soft Logic
Introduces Soft probabilities via Soft Numbers as an infinitesimal refinement of classical probability, suggests adding an infinitesimal probability axiom to Kolmogorov's axioms, and constructs a Mobius strip representation to illuminate Hilbert's sixth problem.