6533b81ffe1ef96bd1276faf

RESEARCH PRODUCT

Phenomenological-Semantic Investigations into Incompleteness

subject

description

When today the phenomenologist surveys the history of the philosophical comprehension of Godel’s theorems, he is confronted with the realization that the decisive publications come almost exclusively from the sphere of analytic philosophy.1 But does phenomenology in the spirit of Husserl not mean to keep in step with the epochal results of the special sciences by working on the phenomenological understanding of them? Phenomenological research of this kind means the same as development of phenomenological theory of science (Wissenschaftstheorie). In connection with the incompleteness theorems, the latter would be confronted with fundamental questions such as, “To what extent can mathematical thought be analyzed in formal terms?”; “What, seen in the light of Godel’s theorems, might be the difference at all between mathematical thought and logic?”; or, How is the bringing about of mathematical truth to be distinguished from bringing about a mathematical proof?”