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AXIOMS FOR TYPE-FREE SUBJECTIVE PROBABILITY

Part of: Foundations of probability theory Philosophical aspects of logic and foundations

Published online by Cambridge University Press:  27 February 2023

CEZARY CIEŚLIŃSKI ,
LEON HORSTEN Open the ORCID record for LEON HORSTEN [Opens in a new window]  and
HANNES LEITGEB
CEZARY CIEŚLIŃSKI
Affiliation:
FACULTY OF PHILOSOPHY UNIVERSITY OF WARSAW WARSAW, POLAND E-mail: c.cieslinski@uw.edu.pl
LEON HORSTEN
Affiliation:
FACHBEREICH PHILOSOPHIE UNIVERSITÄT KONSTANZ UNIVERSITAETSSTRASSE 10 78464 KONSTANZ, GERMANY E-mail: Leon.Horsten@uni-konstanz.de
HANNES LEITGEB
Affiliation:
FAKULTÄT FÜR PHILOSOPHIE WISSENSCHAFTSTHEORIE UND RELIGIONSWISSENSCHAFT LUDWIG-MAXIMILIANS-UNIVERSITÄT MÜNCHEN D-80539 MUNICH, GERMANY E-mail: hannes.leitgeb@lmu.de
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Abstract

We formulate and explore two basic axiomatic systems of type-free subjective probability. One of them explicates a notion of finitely additive probability. The other explicates a concept of infinitely additive probability. It is argued that the first of these systems is a suitable background theory for formally investigating controversial principles about type-free subjective probability.

Keywords

probabilityself-reference

MSC classification

Primary: 03A05: Philosophical and critical 60A05: Axioms; other general questions
Type
Research Article
Information
The Review of Symbolic Logic , First View , pp. 1 - 16
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of The Association for Symbolic Logic

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