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George Boole : selected manuscripts on logic and its philosophy

Auteur: George Boole; I Grattan-Guinness; Gérard Bornet
Uitgever: Basel ; Boston : Birkhäuser Verlag, ©1997.
Serie: Science networks historical studies, v. 20.
Editie/Formaat:   Print book : EngelsAlle edities en materiaalsoorten bekijken.

George Boole (1815-1864) is well known to mathematicians for his research and textbooks on the calculus. The utility of 'Boolean algebra' in computing has greatly increased curiosity in the nature  Meer lezen...


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Genre/Vorm: Aufsatzsammlung
Aanvullende fysieke materiaalsoort: Online version:
Boole, George, 1815-1864.
George Boole.
Basel ; Boston : Birkhäuser Verlag, ©1997
Genoemd persoon: George Boole; George Boole; George Boole; George Boole
Soort document: Boek
Alle auteurs / medewerkers: George Boole; I Grattan-Guinness; Gérard Bornet
ISBN: 3764354569 9783764354565 0817654569 9780817654566
OCLC-nummer: 36307950
Beschrijving: lxiv, 236 pages : illustrations ; 24 cm.
Inhoud: A The Nature of Logic and the Philosophy of Mathematics.- I The Nature of Logic.- Logic is the science of reasoning.- Of what does reasoning consist?.- General Considerations.- Of our Conception of Things.- On the relations of individuals and classes.- Of the mode in which the mind combines.- and modifies its own conceptions.- Of the nature of Propositions.- Of the limitation of the subject of discourse.- Laws of the Mental Operation.- Comparison of the laws of elective symbols.- with the laws of arithmetical symbols.- Consequences of the above analogies.- Examples for Practice.- Of the interpretation of 0 and 1 as elective symbols.- Expression of the class not-men etc.- II Elementary Treatise on Logic not mathematical including philosophy of mathematical reasoning.- Of Signs.- Of Propositions.- Of the Quantity of Terms.- Of the Quality of Terms.- Division.- Of Some of the Varieties of Propositions.- Of the Limitation of Propositions.- Of the Conversion of Propositions.- Of Syllogism.- Conditions and Rules of Syllogistic Inference.- General Remarks on Primary Propositions.- Of Secondary Propositions.- Of the Demonstrations of Geometry.- Of the Foundations of Algebra.- Of the Differential Calculus.- The real nature of mathematical analysis.- III [Extracts from a notebook].- Miscellaneous Observations on Logic.- Of Inverse Operations.- Of signs.- B The Philosophical Interpretation of a Theory of Logic.- IV Prolegomena.- Results of the Analysis of Conception.- V On the Foundations of the Mathematical Theory of Logic and on the Philosophical Interpretation of Its Methods and Processes.- Analysis of the Operations of Conception as Exercised within the Sphere of Formal Logic.- Operations founded on Extension.- Operations founded on Intension.- Laws of Conception.- Addition.- Subtraction.- Composition.- Abstraction.- Law of mixed operations of Addition and Composition.- Analysis of Judgment as Exercised within the Sphere of Formal Logic.- Analysis of Reasoning as Exercised within the Sphere of Formal Logic.- On Systems of Notation.- Symbolical expression of the formal laws of Logic.- Analysis of Reasoning resumed.- VI [Preparatory Notes].- Of the nature and scope of Logic as considered a Science.- Definitions of Conception, Judgment and Reasoning.- [Conception].- Judgment.- Reasoning.- [Further Considerations].- VII General Summary.- Theory of Formal Logic.- C "The Philosophy of Logic" - A Sequel to "The Laws of Thought".- VIII [Preface].- IX Table of Contents.- I: Of the ordinary Logic.- II: Of the operations of thought in relation to the science of number.- III: Of the Laws of Thought in Logic.- IV: Interpretation of Methods.- The Philosophy of Reasoning.- XI Logic.- Nature and Office of Signs.- Methods in Logic.- The Aristotelian Logic.- Sir W. Hamilton's Theory of Syllogism.- The Theory of Professor De Morgan.- Of the Ultimate Laws of Thought.- Of the Method of This Work.- The Method of Algebra.- Method of This Work.- Results of This Method.- D Miscellaneous Matters, Letters and Fragments.- XII On Belief in Its Relation to the Understanding.- XIII The Philosophical Idea of Freedom.- Infinite evolution.- XIV Note [to Aristotle].- XV Philosophy of Mathematics.- II: On Geometry.- XVI [Various fragments, apparently late].- [Fragment 1].- [Fragment 2].- Digression on the Nature of Algebra.- [Fragment 3].- Principles of Expression.- Laws of the Symbols.- [Fragment 4].- [Fragment 5].- [Fragment 6].- [Fragment 7].- XVII Letters to Cayley, Lubbock and Penrose.- Arthur Cayley.- Cayley to Boole, 2 December 1847.- Boole to Cayley, 6 December 1847.- Cayley to Boole, 7 December 1847.- Boole to Cayley, 8 December 1847.- Boole to Cayley, 10 December 1847.- Cayley to Boole, 11 December 1847.- Boole to Cayley, 14 December 1847.- John William Lubbock.- Boole to Lubbock, 16 February 1849.- Boole to Lubbock, 22 February 1849.- John Penrose.- Boole to Penrose, 13 March 1855.- Textual Notes.- Explanation of the description of the material.- The two Signature systems "MM" and "RS".- The Boole/Falk List of 1896.- Details on individual documents.- Notes on the individual chapters.- I: The Nature of Logic.- II: Elementary Treatise on Logic.- III: [Extracts from a notebook].- IV: Prolegomena.- V: On the Foundations of Logic.- VI: [Preparatory Notes].- VII: General Summary.- VIII: [Preface].- IX: Table of Contents.- X: The Philosophy of Reasoning.- XI: Logic.- XII: On Belief in Its Relation to the Understanding.- XIII: The Philosophical Idea of Freedom.- XIV: Note [to Aristotle].- XV: Philosophy of Mathematics.- XVI: [Various fragments, apparently late].- XVII: Letters to Cayley, Lubbock and Penrose.- Index of Names.- Index of Subjects.
Serietitel: Science networks historical studies, v. 20.
Verantwoordelijkheid: editors, Ivor Grattan-Guinness, Gérard Bornet.


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