The Non-Existence of Probabilistic Inductive Support
Using a minimum of propositional logic and of the elementary calculus of probability (see the Appendix), David Miller and I (Popper and Miller, 1983) published a very short paper in which we proved that probabilistic support in the sense of the calculus of probability can never be inductive support. As some knowledgeable people remained unconvinced, I am here restating our case, adding some further proofs.
KeywordsPropositional Logic Deductive System Unconditional Probability Probabilistic Support Inductive Probability
Unable to display preview. Download preview PDF.
- Popper, K. R., 11934, Logik der Forschung (Vienna: Springer).Google Scholar
- —, 1959, 111983, The Logic of Scientific Discovery (London: Hutchinson).Google Scholar
- —, 1963, 81983, Conjectures and Refutations: The Growth of Scientific Knowledge (London: Routledge and Kegan Paul).Google Scholar
- —, 1983, Realism and the Aim of Science (London: Hutchinson and Totowa, NJ: Rowman & Littlefield).Google Scholar
- —, 21966, 81984, Logik der Forschung (Tubingen: Mohr).Google Scholar
- — and Miller, D., 1983, ‘A Proof of the Impossibility of Inductive Probability’, Nature, No. 302, pp. 687–8.Google Scholar
- — and —, 1984, ‘A Proof of the Impossibility of Inductive Probability (A Reply to some Critics)’, Nature, No. 310, pp. 433–4.Google Scholar
- Tarski, A., 1956, Logic, Semantics, Metamathematics (Oxford: Clarendon Press).Google Scholar