[PDF][PDF] Proof of the impossibility of probabilistic induction

V Masrani - arXiv preprint arXiv:2107.00749, 2021 - arxiv.org
arXiv preprint arXiv:2107.00749, 2021arxiv.org
arXiv:2107.00749v1 [cs.AI] 1 Jul 2021 Proof of the impossibility of probabilistic induction
Page 1 arXiv:2107.00749v1 [cs.AI] 1 Jul 2021 Proof of the impossibility of probabilistic
induction Vaden Masrani September 12, 2019 In what follows I restate and simplify the proof
of the impossibility of probabilistic induction given in [1,2]. Other proofs are possible (cf. [1]). 1
Logical Entailment Given two statements x, y we write x ⊢ y if x entails y. For example, if x =
“All men are mortal” y = “Socrates is a man” z = “Socrates is mortal” we can write (x∧y) ⊢ z …
In this short note I restate and simplify the proof of the impossibility of probabilistic induction from Popper (1992). Other proofs are possible (cf. Popper (1985)).
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