George Boole: Selected Manuscripts on Logic and its PhilosophyIvor Grattan-Guinness, Gerard Bornet Birkhäuser, 7 Μαρ 2013 - 236 σελίδες George Boole (1815-1864) is well known to mathematicians for his research and textbooks on the calculus, but his name has spread world-wide for his innovations in symbolic logic and the development and applications made since his day. The utility of "Boolean algebra" in computing has greatly increased curiosity in the nature and extent of his achievements. His work is most accessible in his two books on logic, "A mathematical analysis of logic" (1947) and "An investigation of the laws of thought" (1954). But at various times he wrote manuscript essays, especially after the publication of the second book; several were intended for a non-technical work, "The Philosophy of logic", which he was not able to complete. This volume contains an edited selection which not only relates them to Boole's publications and the historical context of his time, but also describes their strange history of family, followers and scholars have treid to confect an edition. The book will appeal to logicians, mathematicians and philosophers, and those interested in the histories of the corresponding subjects; and also students of the early Victorian Britain in which they were written. |
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Σελίδα vii
... Methods and Processes 63 Operations founded on Extension Analysis of the Operations of Conception as Exercised within the Sphere of Formal Logic Operations founded on Intension Laws of Conception Addition Subtraction Composition ...
... Methods and Processes 63 Operations founded on Extension Analysis of the Operations of Conception as Exercised within the Sphere of Formal Logic Operations founded on Intension Laws of Conception Addition Subtraction Composition ...
Σελίδα viii
... science of number 122 Chapter III : Of the Laws of Thought in Logic 122 Chapter IV : Interpretation of Methods 122 Chapter X The Philosophy of Reasoning 123 Chapter XI Logic 126 Nature and Office of Signs 129 viii Contents.
... science of number 122 Chapter III : Of the Laws of Thought in Logic 122 Chapter IV : Interpretation of Methods 122 Chapter X The Philosophy of Reasoning 123 Chapter XI Logic 126 Nature and Office of Signs 129 viii Contents.
Σελίδα ix
... Method of Algebra Method of This Work 143 144 148 Results of This Method 150 Part D Miscellaneous Matters , Letters and Fragments Chapter XII On Belief in Its Relation to the Understanding .. 157 Chapter XIII The Philosophical Idea of ...
... Method of Algebra Method of This Work 143 144 148 Results of This Method 150 Part D Miscellaneous Matters , Letters and Fragments Chapter XII On Belief in Its Relation to the Understanding .. 157 Chapter XIII The Philosophical Idea of ...
Σελίδα xvi
... methods and especially textbooks were used . Doubtless aware of the apathy over the logic , he attempted at various times , especially soon after the publication of LT , to write the non - technical PL . In 1855 Boole married Mary ...
... methods and especially textbooks were used . Doubtless aware of the apathy over the logic , he attempted at various times , especially soon after the publication of LT , to write the non - technical PL . In 1855 Boole married Mary ...
Σελίδα xxiii
... Methods of Thought even further than De Morgan and Jevons ? seemed to see , into a clear region beyond the schoolmen and formalists , whether logical or mathematical . Thus the beauty and power of those MSS are , if I am any judge , too ...
... Methods of Thought even further than De Morgan and Jevons ? seemed to see , into a clear region beyond the schoolmen and formalists , whether logical or mathematical . Thus the beauty and power of those MSS are , if I am any judge , too ...
Περιεχόμενα
xiii | |
xiv | |
xviii | |
xxv | |
xxvi | |
xxvii | |
xxviii | |
xxxii | |
20 Booles structuralism | lv |
21 Uninterpretable symbols | lvii |
Remarks on dating and editing the manuscripts | lviii |
Part | lxv |
Chapter II | 13 |
Chapter III | 42 |
Part | 49 |
Chapter V | 63 |
9 Logic in The laws of thought | xxxv |
10 Logic after The laws of thought | xxxvii |
11 Plans and texts for The philosophy of logic | xxxix |
12 Where was Booles philosophy of mathematics? | xl |
Leibniz Peacock Babbage and De Morgan | xliii |
14 Booles immediate legacy | xlv |
Booles Psychologism as a Reception Problem | xlvii |
16 Freges psychologism criticism | xlviii |
17 Booles antiinductivism and the problem of introspection 1 | l |
18 Art versus Science | li |
19 Psychology as science | liii |
Chapter VI | 105 |
Chapter VII | 112 |
Chapter VIII | 118 |
Chapter XI | 126 |
Chapter XII | 155 |
Chapter XIV | 164 |
Chapter XVI | 179 |
Chapter XVII | 191 |
Textual Notes | 203 |
Bibliography | 222 |
Άλλες εκδόσεις - Προβολή όλων
George Boole: Selected Manuscripts on Logic and its Philosophy Ivor Grattan-Guinness,Gerard Bornet Περιορισμένη προεπισκόπηση - 1997 |
George Boole: Selected Manuscripts on Logic and Its Philosophy George Boole,I. Grattan-Guinness,Gérard Bornet Προβολή αποσπασμάτων - 1997 |
George Boole: Selected Manuscripts on Logic and Its Philosophy George Boole,I. Grattan-Guinness,Gérard Bornet Προβολή αποσπασμάτων - 1997 |
Συχνά εμφανιζόμενοι όροι και φράσεις
2ndly abstraction affirmative analysis animals application arbitrary Arthur Cayley axioms Boole Boole's Boole/Falk calculus Chapter class of things combination composition conceive conclusion connection constitution copula definition denote determine distinct dual Algebra elective symbols elements employed equal equation example excluded middle existence expression faculties form the concept formal laws Geometry George Boole given identity individuals inference intellectual operations inverse operation involved Judgment language laws of Conception laws of thought Leibniz letters manuscript mathematical meaning men are mortal mental method middle terms mind Morgan mortal nature necessary proposition non-existence not-Xs notion object operation of addition particular philosophy philosophy of mathematics possible predicate premises principle principles of identity quantity question rational reasoning reference relations represent result Science of Logic sense signs subtraction syllogism syllogistic term Logic theory true truth Universe Universe of Discourse words Xs are Ys Zs are Xs