From Type-Free Truth to Type-Free Probability

Leitgeb, Hannes (2012): From Type-Free Truth to Type-Free Probability. In: Restall, Greg und Russell, Gillian (Hrsg.): New Waves in Philosophical Logic. New Waves in Philosophy, Basingstoke: Palgrave Macmillan. S. 84-94

Abstract

Leitgeb [3] formulates a probabilistic theory of type-free truth that includes, amongst others, principles on the probabilities of sentences that speak about their own truth or falsity. In section 1 of the present paper we will recapitulate this theory. Section 2 is devoted to some new observations about that theory and to a set of open questions relating to it. Finally, section 3 takes this probabilistic approach to type-free truth one step further: we present two axiomatic theories of type-free probability which include, amongst others, principles on the probabilities of sentences that speak about their own probabilities. Such theories are stronger than theories for so-called second-order probability (see, e.g., Skyrms [5]) and are hoped to open up a whole new area of research in which all the expertise concerning type-free truth that has been accumulated in recent decades ends up being translated into theories of type-free probability and/or being extended to joint approaches to type-free truth and probability.

• Dokumententyp: Buchbeitrag
• Fakultät: Philosophie, Wissenschaftstheorie und Religionswissenschaft > Munich Center for Mathematical Philosophy (MCMP) ; Philosophie, Wissenschaftstheorie und Religionswissenschaft > Munich Center for Mathematical Philosophy (MCMP) > Logic
• Themengebiete: 100 Philosophie und Psychologie > 100 Philosophie ; 100 Philosophie und Psychologie > 160 Logik
• ISBN: 9780230251731
• Ort: Basingstoke
• Sprache: Englisch