Preserve Self-Reference to Solve Paradoxes, 10 pages.
A self-referential sentence, when negated or joined with another sentence, should refer to the new sentence (itself) rather than the original one. Thus, the liar and the truth-teller are negations of each other. This paper uses a classical logic based on the above approach to examine the liar, Curry’s paradox, and related topics.
This paper extends my earlier paper on the liar, the truth-teller, and Gödel’s incompleteness theorems. It also incorporates my previous post on Curry’s paradox.