Deduction, Computation, Experiment Exploring the Effectiveness of Proof /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Lupacchini, Rossella (Επιμελητής έκδοσης), Corsi, Giovanna (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Milano : Springer Milan, 2008.
• Θέματα: Philosophy.; Logic.; Philosophy of nature.; Computers.; Mathematics.; Mathematical logic.; Philosophy, general.; Mathematics, general.; Philosophy of Nature.; Theory of Computation.; Mathematical Logic and Foundations.

What is a proof for? What is the characteristic use of a proof as a computation, as opposed to its use as an experiment? What is the relationship between mathematical procedures and natural processes? The essays collected in this volume address such questions from different points of view and will i...

Πίνακας περιεχομένων:

• Why Proof? What is a Proof?
• On Formal Proofs
• Toy Models in Physics and the Reasonable Effectiveness of Mathematics
• Experimental Methods in Proofs
• Proofs Verifying Programs and Programs Producing Proofs: A Conceptual Analysis
• The Logic of the Weak Excluded Middle: A Case Study of Proof-Search
• Automated Search for Gödel’s Proofs
• Proofs as Efficient Programs
• Quantum Combing
• Proofs instead of Meaning Explanations: Understanding Classical vs Intuitionistic Mathematics from the Outside
• Proof as a Path of Light
• Computability and Incomputability of Differential Equations
• Phenomenology of Incompleteness: From Formal Deductions to Mathematics and Physics.