On the Origin of Truth Values
On the Origin of Truth Values
The formal language developed in ch. 1 is modelled as a directed graph with a boundary, and the problem of assigning truth values to sentences assimilated to a boundary‐value problem. A trivalent semantics, with true, false, and ungrounded sentences results. The nature of the third truth‐value imposes constraints on the possible truth‐functional connectives in the language.
Keywords: boundary‐value problem, directed graph, metalanguage, S. Kleene, S. Kripke, A. Tarski, time travel, truth theory, truth‐functional connective, ungrounded
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