A logic for propositions with indefinite truth values

Studia Logica 41 (2-3):197 - 226 (1982)
In the first part of this paper a logic is defined for propositions whose probability of being true may not be known. A speaker's beliefs about which propositions are true are still interesting in this case. The meaning of propositions is determined by the consequences of asserting them: in this logic there are debates which incur certain costs for the protagonists.The second part of the paper describes the mathematics of the resulting logic which displays several novel features.
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DOI 10.1007/BF00370345
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