Because without cause

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Not all scientific explanations work by describing causal connections between events or the world's overall causal structure. In addition, mathematicians regard some proofs as explaining why the theorems being proved do in fact hold. This book proposes new philosophical accounts of many kinds of non-causal explanations in science and mathematics.



Not all scientific explanations work by describing causal connections between events or the world's overall causal structure. Some mathematical proofs explain why the theorems being proved hold. In this book, Marc Lange proposes philosophical accounts of many kinds of non-causal explanations in science and mathematics. These topics have been unjustly neglected in the philosophy of science and mathematics. One important kind of non-causal scientific explanation is termed explanation by constraint. These explanations work by providing information about what makes certain facts especially inevitable - more necessary than the ordinary laws of nature connecting causes to their effects. Facts explained in this way transcend the hurly-burly of cause and effect. Many physicists have regarded the laws of kinematics, the great conservation laws, the coordinate transformations, and the parallelogram of forces as having explanations by constraint. This book presents an original account of explanations by constraint, concentrating on a variety of examples from classical physics and special relativity. This book also offers original accounts of several other varieties of non-causal scientific explanation. Dimensional explanations work by showing how some law of nature arises merely from the dimensional relations among the quantities involved. Really statistical explanations include explanations that appeal to regression toward the mean and other canonical manifestations of chance. Lange provides an original account of what makes certain mathematical proofs but not others explain what they prove. Mathematical explanation connects to a host of other important mathematical ideas, including coincidences in mathematics, the significance of giving multiple proofs of the same result, and natural properties in mathematics. Introducing many examples drawn from actual science and mathematics, with extended discussions of examples from Lagrange, Desargues, Thomson, Sylvester, Maxwell, Rayleigh, Einstein, and Feynman, Because Without Cause's proposals and examples should set the agenda for future work on non-causal explanation.

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Quite Right

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Mathematics did not spring spontaneously into life with rules set in stone for all time its story is closely linked with the problems of measurement and money that have often driven its progress quite right explains how mathematical ideas have gradually emerged since prehistoric times so that th Direct beschikbaar .. MEER INFO

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Taal: en

Bindwijze: Hardcover

Oorspronkelijke releasedatum: 08 december 2016

Aantal pagina's: 528

Illustraties: Nee

Hoofdauteur: Marc Lange

Hoofduitgeverij: Oxford University Press Inc

Extra groot lettertype: Nee

Product breedte: 251 mm

Product hoogte: 46 mm

Product lengte: 163 mm

Studieboek: Nee

Verpakking breedte: 251 mm

Verpakking hoogte: 46 mm

Verpakking lengte: 163 mm

Verpakkingsgewicht: 816 g

EAN: 9780190269487

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