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Deduction, computation, experiment : exploring the effectiveness of proof /
"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...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; New York :
Springer,
©2008.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Why proof? What is a proof? / Carlo Cellucci
- On formal proofs / Andrea Cantini
- Toy models in physics and the reasonable effectiveness of mathematics / Annalisa Marzuoli
- Experimental methods in proofs / Gabriele Lolli
- Proofs verifying programs and programs producing proofs : a conceptual analysis / Dag Prawitz
- The logic of the weak excluded middle : a case study of proof-search / Giovanna Corsi
- Automated search for Gödel's proofs / Wilfried Sieg, Clinton Field
- Proofs as efficient programs / Ugo Dal Lago, Simone Martini
- Quantum combing / Mario Rasetti
- Proofs instead of meaning explanations : understanding classical vs intuitionistic mathematics form the outside / Dag Westerståhl
- Proof as a path of light / Rossella Lupacchini
- Computability and incomputability of differential equations / Guido Gherardi
- Phenomenology of incompleteness : from formal deductions to mathematics and physics / Francis Bailly and Giuseppe Longo.