Buch
Deduction, computation, experiment
exploring the effectiveness of proof
Abstrakt
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.
Details | Inhaltsverzeichnis
pp.49-64
https://doi.org/10.1007/978-88-470-0784-0_3a conceptual analysis
pp.81-94
https://doi.org/10.1007/978-88-470-0784-0_5a case study of proof-search
pp.95-116
https://doi.org/10.1007/978-88-470-0784-0_6understanding classical vs intuitionistic mathematics from the outside
pp.175-194
https://doi.org/10.1007/978-88-470-0784-0_10pp.223-242
https://doi.org/10.1007/978-88-470-0784-0_12from formal deductions to mathematics and physics
pp.243-271
https://doi.org/10.1007/978-88-470-0784-0_13Publication details
Publisher: Springer
Ort: Dordrecht
Year: 2008
Seiten: 279
ISBN (hardback): 978-88-470-0783-3
ISBN (digital): 978-88-470-0784-0
Referenz:
Lupacchini Rossella, Corsi Giovanna (2008) Deduction, computation, experiment: exploring the effectiveness of proof. Dordrecht, Springer.