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Lädt ... Mathematics and Plausible Reasoning: Volume II Patterns of Plausible Inferencevon George Pólya
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A guide to the practical art of plausible reasoning, this book has relevance in every field of intellectual activity. Professor Polya, a world-famous mathematician from Stanford University, uses mathematics to show how hunches and guesses play an important part in even the most rigorously deductive science. He explains how solutions to problems can be guessed at; good guessing is often more important than rigorous deduction in finding correct solutions. Vol. II, on Patterns of Plausible Inference, attempts to develop a logic of plausibility. What makes some evidence stronger and some weaker? How does one seek evidence that will make a suspected truth more probable? These questions involve philosophy and psychology as well as mathematics. Keine Bibliotheksbeschreibungen gefunden. |
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George Polya tænkte meget over det at tænke og hvordan man får ideer, når man ikke er Gearløs og har en tænkehat. Han nævner en conjecture af Euler om at tal af formen 8n+3 kan skrives som et kvadrattal + det dobbelte af et primtal. Barry Mazur skrev i 2012 at det stadig hverken er bevist eller modbevist. Euler var interesseret i at vise det, for så kunne han skrive alle tal som summen af tre trekanttal. Det har Gauss senere bevist i 1796 i Disquisitiones Arithmeticae. ( )