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    By deductive logic (modus tollens), if h_i·b·c ⊨ ~e and e... — Carmelics
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    Challenges→Hypothesis h_i is falsified when background knowledge b, condition statement c, and observed evidence e jointly entail the negation of h_i

    By deductive logic (modus tollens), if h_i·b·c ⊨ ~e and e is observed, then b·c·e ⊨ ~h_i

    Philosophy of LanguageTruth & Knowledge
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    Hypothesis h_i is falsified when background knowledge b, condition statement c, ...If h_i·b·c deductively entails ~e (the negation of the evidential outcome), and ...Therefore h_i is falsified by the conjoint evidence b·c·e

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    If h_i·b·c deductively entails ~e (the negation of the evidential outc...81%If h_i·b·c deductively entails e, then P[e | h_i·b·c] = 181%The hypothetical-deductive approach is limited to cases where h_i·b·c ...79%If h_i·b·c deductively entails the negation of e, then P[e | h_i·b·c] ...78%

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    In cases where a hypothesis is deductively related to an outcome \(e\) of an observational or experimental condition \(c\) (via background and auxiliaries \(b\)), we will have either \(h_i\cdot b\cdot c \vDash e\) or \(h_i\cdot b\cdot c \vDash{\nsim}e\). For example, \(h_i\) might be the Newtonian Theory of Gravitation. A test of the theory might involve a condition statement \(c\) that describes the results of some earlier measurements of Jupiter’s position, and that describes the means by whic

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