Proof By Reductio Ad Absurdum
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Proof By Reductio Ad Absurdum
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Author : Reuben Louis Goodstein
language : en
Publisher:
Release Date : 1948
Proof By Reductio Ad Absurdum written by Reuben Louis Goodstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948 with categories.
A Concise Introduction To Logic
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Author : Craig DeLancey
language : en
Publisher: Open SUNY Textbooks
Release Date : 2017-02-06
A Concise Introduction To Logic written by Craig DeLancey and has been published by Open SUNY Textbooks this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-06 with categories.
The Oxford Companion To Philosophy
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Author : Ted Honderich
language : en
Publisher: Oxford University Press, USA
Release Date : 1995
The Oxford Companion To Philosophy written by Ted Honderich and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Biography & Autobiography categories.
This is the most authoritative and engaging philosophical reference work in English. It gives clear and reliable guidance to all areas of philosophy and to the ideas of all notable philosophers from antiquity to the present day. The scope of the volume is not limited to English-languagephilosophy: it surveys the foremost philosophy from all parts of the world. A distinguished international assembly of more than two hundred contributors provide almost 2,000 alphabetically arranged entries which are not only instructive but also entertaining: they combine learning, lucidity, elegance, and wit. There are more than fifty extended entries of 3,000 words on themain areas of philosophy and the great philosophers: these include essays by Alasdair MacIntyre on the history of moral philosophy, Paul Feyerabend on the history of the philosophy of science, Jaegwon Kim on problems of the philosophy of mind, Richard Swinburne on problems of the philosophy ofreligion, David Charles on Aristotle, Peter Singer on Hegel, Anthony Kenny on Frege, and Anthony Quinton on philosophy itself. Short entries deal with key concepts (for instance, personal identity, time) doctrines (utilitarianism, holism), problems (the mind-body problem, the meaning of life), schools of thought (Marxist philosophy, the Vienna Circle), and practical issues (abortion, vegetarianism). Individual thinkerspast (Pythagoras, Confucius, Galileo, Goethe, Burke, Santayana, de Beauvoir, Radhakrishnan) and present (over 150 contemporary figures, such as Chomsky, Derrida, and Popper) are profiled, and eighty of them are depicted in black-and-white portraits. Interspersed throughout are short explanations ofparticular philosophical terms (qualia, supervenience, iff), puzzles (the Achilles paradox, the prisoner's dilemma), and curiosities (the philosopher's stone, slime). Every entry is accompanied by suggestions for further reading. A chronological chart of the history of philosophy is located at theend of the book, together with fourteen diagrams showing the structure of philosophy and the relations between its subjects and doctrines. This book will be an indispensable guide and a constant source of stimulation and enlightenment for anyone interested in abstract thought, the eternal questions, and the foundations of human understanding.
How To Solve It
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Author : G. Polya
language : en
Publisher: Princeton University Press
Release Date : 2014-10-26
How To Solve It written by G. Polya and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-26 with Mathematics categories.
The bestselling book that has helped millions of readers solve any problem A must-have guide by eminent mathematician G. Polya, How to Solve It shows anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can help you attack any problem that can be reasoned out—from building a bridge to winning a game of anagrams. How to Solve It includes a heuristic dictionary with dozens of entries on how to make problems more manageable—from analogy and induction to the heuristic method of starting with a goal and working backward to something you already know. This disarmingly elementary book explains how to harness curiosity in the classroom, bring the inventive faculties of students into play, and experience the triumph of discovery. But it’s not just for the classroom. Generations of readers from all walks of life have relished Polya’s brilliantly deft instructions on stripping away irrelevancies and going straight to the heart of a problem.
Elements Of Logical Reasoning
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Author : Jan von Plato
language : en
Publisher: Cambridge University Press
Release Date : 2013
Elements Of Logical Reasoning written by Jan von Plato and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Computers categories.
This book provides an accessible and at the same time scientifically rigorous introduction to the principles of logical reasoning.
Principia Mathematica
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Author : Alfred North Whitehead
language : en
Publisher: Cambridge University Press
Release Date : 1927
Principia Mathematica written by Alfred North Whitehead and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Mathematics categories.
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.
The Dialectic Reductio Ad Absurdum Argument
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Author : Colin Leslie Dean
language : en
Publisher:
Release Date : 2003
The Dialectic Reductio Ad Absurdum Argument written by Colin Leslie Dean and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Logic categories.
Logic As A Tool
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Author : Valentin Goranko
language : en
Publisher: John Wiley & Sons
Release Date : 2016-09-02
Logic As A Tool written by Valentin Goranko and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-02 with Mathematics categories.
Written in a clear, precise and user-friendly style, Logic as a Tool: A Guide to Formal Logical Reasoning is intended for undergraduates in both mathematics and computer science, and will guide them to learn, understand and master the use of classical logic as a tool for doing correct reasoning. It offers a systematic and precise exposition of classical logic with many examples and exercises, and only the necessary minimum of theory. The book explains the grammar, semantics and use of classical logical languages and teaches the reader how grasp the meaning and translate them to and from natural language. It illustrates with extensive examples the use of the most popular deductive systems -- axiomatic systems, semantic tableaux, natural deduction, and resolution -- for formalising and automating logical reasoning both on propositional and on first-order level, and provides the reader with technical skills needed for practical derivations in them. Systematic guidelines are offered on how to perform logically correct and well-structured reasoning using these deductive systems and the reasoning techniques that they employ. •Concise and systematic exposition, with semi-formal but rigorous treatment of the minimum necessary theory, amply illustrated with examples •Emphasis both on conceptual understanding and on developing practical skills •Solid and balanced coverage of syntactic, semantic, and deductive aspects of logic •Includes extensive sets of exercises, many of them provided with solutions or answers •Supplemented by a website including detailed slides, additional exercises and solutions For more information browse the book's website at: https://logicasatool.wordpress.com
The Meaning Of Proofs
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Author : Gabriele Lolli
language : en
Publisher: MIT Press
Release Date : 2022-09-27
The Meaning Of Proofs written by Gabriele Lolli and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-27 with Mathematics categories.
Why mathematics is not merely formulaic: an argument that to write a mathematical proof is tantamount to inventing a story. In The Meaning of Proofs, mathematician Gabriele Lolli argues that to write a mathematical proof is tantamount to inventing a story. Lolli offers not instructions for how to write mathematical proofs, but a philosophical and poetic reflection on mathematical proofs as narrative. Mathematics, imprisoned within its symbols and images, Lolli writes, says nothing if its meaning is not narrated in a story. The minute mathematicians open their mouths to explain something—the meaning of x, how to find y—they are framing a narrative. Every proof is the story of an adventure, writes Lolli, a journey into an unknown land to open a new, connected route; once the road is open, we correct it, expand it. Just as fairy tales offer a narrative structure in which new characters can be inserted into recurring forms of the genre in original ways, in mathematics, each new abstract concept is the protagonist of a different theory supported by the general techniques of mathematical reasoning. In ancient Greece, there was more than an analogy between literature and mathematics, there was direct influence. Euclid’s proofs have roots in poetry and rhetoric. Mathematics, Lolli asserts, is not the mere manipulation of formulas.
Philosophical Devices Proofs Probabilities Possibilities And Sets
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Author : David Papineau
language : en
Publisher: OUP Oxford
Release Date : 2012-10-04
Philosophical Devices Proofs Probabilities Possibilities And Sets written by David Papineau and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-04 with Philosophy categories.
This book is designed to explain the technical ideas that are taken for granted in much contemporary philosophical writing. Notions like denumerability, modal scope distinction, Bayesian conditionalization, and logical completeness are usually only elucidated deep within difficult specialist texts. By offering simple explanations that by-pass much irrelevant and boring detail, Philosophical Devices is able to cover a wealth of material that isnormally only available to specialists. The book contains four sections, each of three chapters. The first section is about sets and numbers, starting with the membership relation and ending with the generalized continuum hypothesis. The second is about analyticity, a prioricity, and necessity. The third is about probability, outlining the difference between objective and subjective probability and exploring aspects of conditionalization and correlation. The fourth deals with metalogic, focusing on the contrast between syntax andsemantics, and finishing with a sketch of Gödels theorem. Philosophical Devices will be useful for university students who have got past the foothills of philosophy and are starting to read more widely, but it does not assume any prior expertise. All the issues discussed are intrinsically interesting, and often downright fascinating. It can be read with pleasure and profit by anybody who is curious about the technical infrastructure of contemporary philosophy.