A Logical Journey: From Gödel to Philosophy

Voorkant
CogNet, 1996 - 391 pagina's
"Experts in mathematical logic will find this book of engrossing interest. For mere philosphers it will have a different fascination: in seeing how the achievements of a genius can seem to him to provide a firm foundation for a species of Platonism and the conviction of the superiority of minds over computers, and at the same time can encourage him to favour a quasi-Leibnizian speculative metaphysics and theology. Hao Wang records and assesses the whole with an expert and balanced reasonableness."
-- Sir Peter F. Strawson, Magdalen College, Oxford Hao Wang (1921-1995) was one of the few confidants of the great mathematician and logician Kurt Gö del. "A Logical Journey" is a continuation of Wang's "Reflections on Gö del" and also elaborates on discussions contained in "From Mathematics to Philosophy." A decade in preparation, it contains important and unfamiliar insights into Gö del's views on a wide range of issues, from Platonism and the nature of logic, to minds and machines, the existence of God, and positivism and phenomenology.

The impact of Gö del's theorem on twentieth-century thought is on par with that of Einstein's theory of relativity, Heisenberg's uncertainty principle, or Keynesian economics. These previously unpublished intimate and informal conversations, however, bring to light and amplify Gö del's other major contributions to logic and philosophy. They reveal that there is much more in Gö del's philosophy of mathematics than is commonly believed, and more in his philosophy than his philosophy of mathematics.

Wang writes that "it is even possible that his quite informal and loosely structuredconversations with me, which I am freely using in this book, will turn out to be the fullest existing expression of the diverse components of his inadequately articulated general philosophy."

The first two chapters are devoted to Gö del's life and mental development. In the chapters that follow, Wang illustrates the quest for overarching solutions and grand unifications of knowledge and action in Gö del's written speculations on God and an afterlife. He gives the background and a chronological summary of the conversations, considers Gö del's comments on philosophies and philosophers (his support of Husserl's phenomenology and his digressions on Kant and Wittgenstein), and his attempt to demonstrate the superiority of the mind's power over brains and machines. Three chapters are tied together by what Wang perceives to be Gö del's governing ideal of philosophy: an exact theory in which mathematics and Newtonian physics serve as a model for philosophy or metaphysics. Finally, in an epilog Wang sketches his own approach to philosophy in contrast to his interpretation of Gö del's outlook.

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