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Contributors | p. xi |
Foreword | p. xiii |
Preface | p. xv |
Acknowledgments | p. xvii |
Short Biography of Kurt Gödel | p. xix |
Historical Context: Gödel's Contributions and Accomplishments | |
Gödel's Historical, Philosophical, and Scientific Work | |
The Impact of Gödel's Incompleteness Theorems on Mathematics | p. 3 |
Logical Hygiene, Foundations, and Abstractions: Diversity among Aspects and Options | p. 27 |
Gödel's Legacy: A Historical Perspective | |
The Reception of Gödel's 1931 Incompletability Theorems by Mathematicians, and Some Logicians, to the Early 1960s | p. 57 |
"Dozent Gödel Will Not Lecture" | p. 75 |
Gödel's Thesis: An Appreciation | p. 95 |
Lieber Herr Bernays! Lieber Herr Gödel! Gödel on Finitism, Constructivity, and Hilbert's Program | p. 111 |
Computation and Intractability: Echoes of Kurt Gödel | p. 137 |
From the Entscheidungsproblem to the Personal Computer - and Beyond | p. 151 |
Gödelian Cosmology | |
Gödel, Einstein, Mach, Gamow, and Lanczos: Gödel's Remarkable Excursion into Cosmology | p. 185 |
Physical Unknowables | p. 213 |
A Wider Vision: The Interdisciplinary, Philosophical, and Theological Implications of Gödel's Work | |
On the Unknowables | |
Gödel and Physics | p. 225 |
Gödel, Thomas Aquinas, and the Unknowability of God | p. 277 |
Gödel and the Mathematics of Philosophy | |
Gödel's Mathematics of Philosophy | p. 299 |
Gödel and Philosophical Theology | |
Gödel's Ontological Proof and Its Variants | p. 307 |
Gödel and the Human Mind | |
The Gödel Theorem and Human Nature | p. 325 |
Gödel, the Mind, and the Laws of Physics | p. 339 |
New Frontiers: Beyond Gödel's Work in Mathematics and Symbolic Logic | |
Extending Gödel's Work | |
Gödel's Functional Interpretation and Its Use in Current Mathematics | p. 361 |
My Forty Years on His Shoulders | p. 399 |
The Realm of Set Theory | |
My Interaction with Kurt Gödel: The Man and His Work | p. 435 |
Gödel and the Higher Infinite | |
The Transfinite Universe | p. 449 |
Gödel and Computer Science | |
The Gödel Phenomenon in Mathematics: A Modern View | p. 475 |
Index | p. 509 |
Table of Contents provided by Ingram. All Rights Reserved. |
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