Fitch was the
inventor of the
Fitch-style calculus for arranging formal logical proofs as diagrams. In his 1963 published paper "A Logical Analysis of Some Value Concepts" he proves "Theorem 5" (originally by
Alonzo Church), which later became famous in context of the
knowability paradox. Fitch worked primarily in combinatory logic, authoring an undergraduate-level textbook on the subject (1974), but he also made significant contributions to intuitionism and modal logic. He was interested in the problem of the consistency, completeness, categoricity, and constructivity of logical theories, especially nonclassical logics, and contributed to the foundations of mathematics and to inductive probability. He dealt with the theory of references in "The Problem of the Morning Star and the Evening Star" (1949). He also contributed to the philosophy of how logic relates to language. ==Works==