Kenneth Jon Barwise (/ˈbɑːrwaɪz/; June 29, 1942 – March 5, 2000)[1] was an American mathematician, philosopher and logician who proposed some fundamental revisions to the way that logic is understood and used.
In his last year, Barwise was invited to give the 2000 Gödel Lecture; he died prior to the lecture.[3]
Philosophical and logical work
Barwise contended that, by being explicit about the context in which a proposition is made, the situation, many problems in the application of logic can be eliminated. He sought ... to understand meaning and inference within a general theory of information, one that takes us outside the realm of sentences and relations between sentences of any language, natural or formal. In particular, he claimed that such an approach resolved the liar paradox. He made use of Peter Aczel's non-well-founded set theory in understanding "vicious circles" of reasoning.