Godel

Dr. KURT GODEL'S sixtieth birthday (April 28, 1966) and the thirty­ fifth anniversary of the publication of his theorems on undecidability were celebrated during the 75th Anniversary Meeting of the Ohio Ac­ ademy of Science at The Ohio State University, Columbus, on April 22, 1966. The celebration took the form of a Festschrift Symposium on a theme supported by the late Director of The Institute for Advanced Study at Princeton, New Jersey, Dr. J. ROBERT OPPENHEIMER: "Logic, and Its Relations to Mathematics, Natural Science, and Philosophy." The symposium also celebrated the founding of Section L (Mathematical Sciences) of the Ohio Academy of Science. Salutations to Dr. GODEL were followed by the reading of papers by S. F. BARKER, H. B. CURRY, H. RUBIN, G. E. SACKS, and G. TAKEUTI, and by the announcement of in-absentia papers contributed in honor of Dr. GODEL by A. LEVY, B. MELTZER, R. M. SOLOVAY, and E. WETTE. A short discussion of "The II Beyond Godel's I" concluded the session.

Nel 1930 un ragazzo ventitreenne di nome Kurt Gödel dimostrò un teorema destinato a cambiare per sempre la nostra comprensione della matematica e, forse, di noi stessi: il Teorema di Incompletezza dell'Aritmetica. Questo libro ci guida, e senza presupporre alcuna particolare competenza matematica, nei segreti della leggendaria dimostrazione di Gödel e delle sue controverse implicazioni filosofiche. Francesco Berto mostra come alcuni usi del Teorema oggi invocato in migliaia di siti Internet, in discorsi di politica, religione, sociologia e, naturalmente, ermeneutica e postmodernismo - sorgano da buffi fraintendimenti del risultato gödeliano.

The logician Kurt Gödel (1906-1978) published a paper in 1931 formulating what have come to be known as his 'incompleteness theorems', which prove, among other things, that within any formal system with resources sufficient to code arithmetic, questions exist which are neither provable nor disprovable on the basis of the axioms which define the system.