Biforcated Attitude Semantics
Biforcated Attitude Semantics
This chapter sets out the principles of biforcated attitude semantics and proves that, like the semantics of Chapters 5 and 6, it yields a language with the correct logical properties. Biforcated attitude semantics modifies the semantics of Chapter 6 by treating sentences as expressing pairs of states of being for. It is noted that this move creates at least two major complications in our treatment of the logical properties of the language, but proven, up to a lemma, that in this language the theorems of classical logic are all and only the sentences that it is inconsistent to reject under any interpretation. This yields a way of accounting for the logical properties of the language. A new problem — the new negation problem — is raised, and the lemma in the proof is discharged in an appendix to the chapter.
Keywords: biforcated attitudes, biforcated attitude semantics, new new negation problem
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