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 xiv
... give more space to his mathematical details and procedures , because he tended to assume them as known in the manuscripts , where he covered the philosophical and psychological aspects much more amply . §2 Life and career George Boole ...
... give more space to his mathematical details and procedures , because he tended to assume them as known in the manuscripts , where he covered the philosophical and psychological aspects much more amply . §2 Life and career George Boole ...
Σελίδα xx
... give them . ( hereafter " the collection " ) to the Royal Society in 1873. However , family interest in them had not ceased . In particular , in the 1880s Alicia , then living in or near Liverpool , teamed up with fellow townsman H. J. ...
... give them . ( hereafter " the collection " ) to the Royal Society in 1873. However , family interest in them had not ceased . In particular , in the 1880s Alicia , then living in or near Liverpool , teamed up with fellow townsman H. J. ...
Σελίδα xxii
... give Mr. Russell and his friend any assistance of which I am capable to that end . It would be a real public service and I regret that there are objections in the family , which so far I have 6 never overcome . I feel bound to respect ...
... give Mr. Russell and his friend any assistance of which I am capable to that end . It would be a real public service and I regret that there are objections in the family , which so far I have 6 never overcome . I feel bound to respect ...
Σελίδα xxiii
... give me the greatest pleasure to meet your father if it can be arranged . I hope if anything brings him to Oxford , he will come here at any time that suits him ; otherwise , we might meet in London . From his letter I see that the ...
... give me the greatest pleasure to meet your father if it can be arranged . I hope if anything brings him to Oxford , he will come here at any time that suits him ; otherwise , we might meet in London . From his letter I see that the ...
Σελίδα xxix
... gives the class x . ( The possible parentage of this law in Leibniz is considered in §13 . ) As consequences of it he formed the equations x ( 1 − x ) = 0 and 66 99 x + ( 1 - x ) = 1 ( 7.1 ) which for him expressed respectively the law ...
... gives the class x . ( The possible parentage of this law in Leibniz is considered in §13 . ) As consequences of it he formed the equations x ( 1 − x ) = 0 and 66 99 x + ( 1 - x ) = 1 ( 7.1 ) which for him expressed respectively the law ...
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