Mathematics and Plausible Reasoning, Volume 2 (eBook)

Logic, Symbolic and mathematical

G. Polya (Autor)

eBook Download: PDF

2021
240 Seiten
Princeton University Press (Verlag)
978-1-4008-2372-7 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 10.8.2021
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
• Schlagworte: Algebraic function • Almost surely • Analogy • analytic function • analytic geometry • An Introduction to the Theory of Numbers • Approximation • A Treatise on Probability • Axiom • Bayesian probability • Bernard Bosanquet (philosopher) • Common logarithm • Computation • conjecture • Conjecture (textual criticism) • Contingency (Philosophy) • credibility • Degree of truth • Determinacy • Diagram (category theory) • Divisor (algebraic geometry) • Elementary algebra • Equation • Eudaimonia • Explanation • Extrapolation • Facet (geometry) • Fermat's Last Theorem • Form of life (philosophy) • geometric mean • Geometry • Goldbach's conjecture • guessing • Heuristic • hypothesis • Hypothetical Syllogism • Independence (probability theory) • Individuation • inductive reasoning • Inequality (mathematics) • inference • Infinitesimal • Instance (computer science) • Integer • Intelligibility (philosophy) • Likelihood Function • Logic • Mathematical Induction • Mathematical Logic • Mathematical Notation • Mathematical problem • Mathematical Theory • mathematician • Mathematics • Mathematische Annalen • mean value theorem • modus tollens • Mutual exclusivity • Number Theory • Numerical analysis • Parity (mathematics) • Perfectionism (psychology) • Philosophy • plausible reasoning • polynomial • Potentiality and actuality • Practical reason • Prediction • premise • prime factor • Prime number • prime number theorem • Principle of Sufficient Reason • Probability • Probability Theory • Projection (linear algebra) • Proportionality (mathematics) • Rationality • Rational number • reason • result • Riemann hypothesis • Science • Scientific Method • scientific notation • Series (mathematics) • Similarity (geometry) • Simultaneity • Søren Kierkegaard • Statistical hypothesis testing • Summation • Superiority (short story) • syllogism • Theorem • theoretical physics • theory • Theory of Forms • The Philosopher • transcendental equation • Universality (philosophy)
• ISBN-10: 1-4008-2372-2 / 1400823722
• ISBN-13: 978-1-4008-2372-7 / 9781400823727