An Investigation of the Laws of Thought
Boole, George
ISBN 10: 0486600289 ISBN 13: 9780486600284
Editore: Dover Publications, 1958
Usato
Paperback
Da
ThriftBooks-Atlanta, AUSTELL, GA, U.S.A.
Valutazione del venditore 5 su 5 stelle
Venditore AbeBooks dal 24 marzo 2009
Questo articolo specifico non è più disponibile.
Riguardo questo articolo
Descrizione:
Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. Codice articolo G0486600289I3N00
Riassunto:
"A classic of pure mathematics and symbolic logic ... the publisher is to be thanked for making it available." — Scientific American
George Boole was on of the greatest mathematicians of the 19th century, and one of the most influential thinkers of all time. Not only did he make important contributions to differential equations and calculus of finite differences, he also was the discoverer of invariants, and the founder of modern symbolic logic. According to Bertrand Russell, "Pure mathematics was discovered by George Boole in his work published in 1854."
This work is the first extensive statement of the modern view that mathematics is a pure deductive science that can be applied to various situations. Boole first showed how classical logic could be treated with algebraic terminology and operations, and then proceeded to a general symbolic method of logical interference; he also attempted to devise a calculus of probabilities which could be applied to situations hitherto considered beyond investigation.
The enormous range of this work can be seen from chapter headings: Nature and Design of This Work; Signs and Their Laws; Derivation of Laws; Division of Propositions; Principles of Symbolical Reasoning; Interpretation; Elimination; Reduction; Methods of Abbreviation; Conditions of a Perfect Method; Secondary Propositions; Methods in Secondary Propositions; Clarke and Spinoza; Analysis, Aristotelian Logic; Theory of Probabilities; General Method in Probabilities; Elementary Illustrations; Statistical Conditions; Problems on Causes; Probability of Judgments; Constitution of the Intellect. This last chapter, Constitution of the Intellect, is a very significant analysis of the psychology of discovery and scientific method.
George Boole was on of the greatest mathematicians of the 19th century, and one of the most influential thinkers of all time. Not only did he make important contributions to differential equations and calculus of finite differences, he also was the discoverer of invariants, and the founder of modern symbolic logic. According to Bertrand Russell, "Pure mathematics was discovered by George Boole in his work published in 1854."
This work is the first extensive statement of the modern view that mathematics is a pure deductive science that can be applied to various situations. Boole first showed how classical logic could be treated with algebraic terminology and operations, and then proceeded to a general symbolic method of logical interference; he also attempted to devise a calculus of probabilities which could be applied to situations hitherto considered beyond investigation.
The enormous range of this work can be seen from chapter headings: Nature and Design of This Work; Signs and Their Laws; Derivation of Laws; Division of Propositions; Principles of Symbolical Reasoning; Interpretation; Elimination; Reduction; Methods of Abbreviation; Conditions of a Perfect Method; Secondary Propositions; Methods in Secondary Propositions; Clarke and Spinoza; Analysis, Aristotelian Logic; Theory of Probabilities; General Method in Probabilities; Elementary Illustrations; Statistical Conditions; Problems on Causes; Probability of Judgments; Constitution of the Intellect. This last chapter, Constitution of the Intellect, is a very significant analysis of the psychology of discovery and scientific method.
Contenuti: Chapter I. Nature and Design of this Work Chapter II. Signs and their Laws Chapter III. Derivation of the Laws Chapter IV. Division of Propositions Chapter V. Principles of Symbolical Reasoning Chapter VI. Of Interpretation Chapter VII. Of Elimination Chapter VIII. Of Reduction Chapter IX. Methods of Abbreviation Chapter X. Conditions of a Perfect Method Chapter XI. Of Secondary Propositions Chapter XII. Methods in Secondary Propositions Chapter XIII. Clarke and Spinoza Chapter XIV. Examples of Analysis Chapter XV. Of the Aristotelian Logic Chapter XVI. Of the Theory of Probabilities Chapter XVII. General Method in Probabilities Chapter XVIII. Elementary Illustrations Chapter XIX. Of Statistical Conditions Chapter XX. Problems on Causes Chapter XXI. Probability of Judgments Chapter XXII. Constitution of the Intellect
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Dati bibliografici
Titolo: An Investigation of the Laws of Thought
Casa editrice: Dover Publications
Data di pubblicazione: 1958
Legatura: Paperback
Condizione: Good
Condizione sovraccoperta: No Jacket