"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 Gödel. A Logical
Journey is a continuation of Wang's Reflections on
Gödel and also elaborates on discussions contained in
From Mathematics to Philosophy. A decade in preparation,
it contains important and unfamiliar insights into Gödel'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 Gödel'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unpublished intimate and informal conversations, however, bring to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 Gödel's other major contributions to logic and
philosophy. They reveal that there is much more in Gödel'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 structured conversations 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 Gödel'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 Gödel's written speculations on God and an
afterlife. He gives the background and a chronological summary of the
conversations, considers Gödel'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 Gödel'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 Gödel's outlook.
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