A logical and algebraic treatment of conditional probability

This paper is devoted to a logical and algebraic treatment of conditional probability. The main ideas are the use of non-standard probabilities and of some kind of standard part function in order to deal with the case where the conditioning event has probability zero, and the use of a many-valued modal logic in order to deal probability of an event as the truth value of the sentence is probable, along the lines of H

• Type: Journal
• Year: 2005
• Where: AML
• Authors: Tommaso Flaminio, Franco Montagna
• Keywords: AML 2005, Conditional Probability, Many-valued Modal Logic, Truth Values