Full Idea
If we specify the senses of the connectives by way of the standard truth-tables, then we must justify classical logic only by appeal to the Principle of Bivalence.
Gist of Idea
If truth-tables specify the connectives, classical logic must rely on Bivalence
Source
Ian Rumfitt (The Boundary Stones of Thought [2015], 7)
Book Reference
Rumfitt,Ian: 'The Boundary Stones of Thought' [OUP 2015], p.184
A Reaction
Rumfitt proposes to avoid the truth-tables, and hence not to rely on Bivalence for his support of classical logic. He accepts that Bivalence is doubtful, citing the undecidability of the Continuum Hypothesis as a problem instance.
Related Idea
Idea 18830 Most set theorists doubt bivalence for the Continuum Hypothesis, but still use classical logic [Rumfitt]