92) The argument is that classical logic, by assuming the principle of bivalence
, assumes one too many logical truths.
Reads does not deal with falsity explicitly, but given that he accepts the principle of bivalence
, (28) entails:
There has been a certain amount of discussion in the literature as to what relationship exists between the principle of bivalence
and realism (see footnote 4).
The Case thus begins with the famous suggestion that many (though not all) disputes over realism can be recast as disputes about whether the language we use to describe the disputed region of fact respects the principle of bivalence
The realist holds the idea of truth as subject to the principle of bivalence
, that is, that reality renders statements either true or false independently of whether anyone can make that determination.
Introductory chapters one and two present different forms of the liar paradox and two kinds of approaches to solving it: one is by suspending the principle of bivalence
, the other by introducing hierarchy of languages.