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Extension ofK2 to Theory Kdd of
Extension ofKdd to Theory Kpdl of the Degree to which
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andp classical truth value Contingent Formulae contradictionp contradictory relative corollary to claim deductively independent dependence relations followsp Hence Highest Subformula iff i(A irreflexive Keynes dependence Kolmogorov probability function Kolmogorov probability semantics Kpdl logical dependence negatively Keynes-dependent negatively Kolmogorov-dependent negatively probabilistically dependent negatively pseudo-Kolmogorov-dependent negatively strongly Popper-dependent negatively weakly Popper-dependent p(AaB p(AvB pd(A pd(B Popper probability function Popper probability semantics Popper's theorem 64 positively inductively dependent positively Kolmogorov-dependent positively probabilistically dependent positively pseudo-Kolmogorov-dependent pp(A pp(B pp(BaA probability function defined probability theory Proof of theorem relation of positive Relationships between Truth-Functional relative to wp relative top stands in contrary stands in truth-functional strong Popper dependence subsection tautological relative tautology tautologyp theorem 96 Theorem Ppdl Theorems concerning Relationships truth value function truth-functional contradictory opposition truth-functional contrary opposition truth-functional subcontrary opposition truth-functionally equivalent truth-functionally follows unary Kolmogorov probability value function defined w(AaB w(AvB weak Popper dependence wp(A wp(B wp(C