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Deduction, computation, experiment exploring the effectiveness of proof / Rossella Lupacchini, Giovanna Corsi, (Eds.).
| Other author | Lupacchini, Rossella. |
| Other author | Corsi, Giovanna. |
| Format | Electronic |
| Publication Info | Berlin ; New York : Springer, |
| Description | xii, 279 p. : ill. ; 24 cm. |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Subjects |
| Portion of title | Exploring the effectiveness of proof |
| Contents | 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. |
| Abstract | "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 interest students and scholars in several branches of scientific knowledge. Some essays deal with the logical skeleton of deduction, others examine the interplay between natural systems and models of computation, yet others use significant results from the natural sciences to illustrate the character of procedures in applied mathematics. Focusing on relevant conceptual and logical issues underlying the overall quest for proving, the volume seeks to cast light on what the effectiveness of proof rests on."--Book cover. |
| Bibliography note | Includes bibliographical references and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2008932581 |
| ISBN | 9788847007833 (pbk. : alk. paper) |
| ISBN | 8847007836 (pbk.) |
| ISBN | 8847007844 (ebk.) |
| ISBN | 9788847007840 (ebk.) |
| Publisher number | 12202010 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |