Deduction, computation, experiment

exploring the effectiveness of proof

Rossella Lupacchini , Giovanna Corsi

<p>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<br/>and natural processes?<br/>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<br/>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<br/>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.</p><p/>


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1-27
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29-48
On formal proofs

Cantini Andrea

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49-64
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65-79
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81-94
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95-116
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117-140
Automated search for Gödel's proofs

Sieg Wilfried; Field Clinton

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141-157
Proofs as efficient programs

Dal Lago Ugo; Martini Simone

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159-174
Quantum combing

Rasetti Mario

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175-194
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195-222
Proof as a path of light

Lupacchini Rossella

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223-242
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243-271
Phenomenology of incompleteness

Bailly Francis; Longo Giuseppe

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