Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté. Image fixe : sans médiation
Titre(s) : Kurt Gödel and the foundations of mathematics [Texte imprimé] : horizons of truth / edited by Matthias Baaz... [et al.]
Publication : New York : Cambridge university press, 2011
Description matérielle : 1 vol. (XXIII-515 p.) : ill. ; 27 cm
Comprend : I ; Historical Context: Gödel's Contributions and Accomplishments: ; Gödel's Historical,
Philosophical, and Scientific Work:1 ; The impact of Gödel's incompleteness theorems
on mathematics /Angus Macintyre2 ; Logical hygiene, foundations, and abstractions:
diversity among aspects and options /Georg Kreisel ; Gödel's Legacy: A Historical
Perspective:3 ; The reception of Gödel's 1931 incompletabilty theorems by mathematicians,
and some logicians, to the early 1960s/Ivor Grattan-Guinness4.dt 'Dozent Gödel will
not lecture'Karl Sigmund5 ; Gödel's thesis: an appreciation /Juliette Kennedy6 ;
Lieber Herr Bernays!, Lieber Herr Gödel! Gödel on finitism, constructivity, and
Hilbert's program /Solomon Feferman ; The Past and Future of Computation:7 ; Computation
and intractability: echoes of Kurt Gödel /Christos H. Papadimitriou8 ; From the entscheidungsproblem
to the personal computer ; and beyond /B. Jack Copeland ; Gödelian Cosmology:9 ;
Gödel, Einstein, Mach, Gamow, and Lanczos: Gödel's remarkable excursion into cosmology
/Wolfgang Rindler10 ; Physical unknowables /Karl Svozil --II ; A Wider Vision: The
Interdisciplinary, Philosophical, And Theological Implications of Gödel's Work: ;
On the Unknowables:11 ; Gödel and physics /John D. Barrow12 ; Gödel, Thomas Aquinas,
and the unknowability of God /Denys A. Turner ; Gödel and the Mathematics of Philosophy:13.
Gödel's mathematics of philosophyPiergiorgio Odifreddi ; Gödel and Philosophical
Theology:14 ; Gödel's ontological proof and its variants /Petr Hájek ; Gödel and
the Human Mind:15. The Gödel theorem and human natureHilary W. Putnam16 ; Gödel,
the mind, and the laws of physics /Roger Penrose --III ; New Frontiers: Beyond Gödel's
Work in Mathematics and Symbolic Logic: ; Extending Gödel's Work:17 ; Gödel's functional
interpretation and its use in current mathematics /Ulrich Kohlenbach18 ; My forty
years on his shoulders /Harvey M. Friedman ; The Realm of Set Theory:19. My interaction
with Kurt Gödel: the man and his workPaul J. Cohen ; Gödel and the Higher Infinite:20.
The transfinite universeW. Hugh Woodin ; Gödel and Computer Science:21 ; The Gödel
phenomena in mathematics: a modern view /Avi Wigderson
Note(s) : Notes bibliogr.
"This volume commemorates the life, work, and foundational views of Kurt Gödel (1906-1978),
most famous for his hallmark works on the completeness of first-order logic, the incompleteness
of number theory, and the consistency - with the other widely accepted axioms of set
theory - of the axiom of choice and of the generalized continuum hypothesis. It explores
current research, advances, and ideas for future directions not only in the foundations
of mathematics and logic, but also in the fields of computer science, artificial intelligence,
physics, cosmology, philosophy, theology, and the history of science. The discussion
is supplemented by personal reflections from several scholars who knew Gödel personally,
providing some interesting insights into his life. By putting his ideas and life's
work into the context of current thinking and perceptions, this book will extend the
impact of Gödel's fundamental work in mathematics, logic, philosophy, and other disciplines
for future generations of researchers"--
Sujet(s) : Gödel, Kurt (1906-1978)
Gödel, Théorème de
Mathématiques -- Philosophie
Indice(s) Dewey :
511.3 (23e éd.) = Logique mathématique
Identifiants, prix et caractéristiques : ISBN 9780521761444. - ISBN 0521761441 (rel.)
Identifiant de la notice : ark:/12148/cb436344985
Notice n° :
FRBNF43634498
(notice reprise d'un réservoir extérieur)
