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
... languages and wrote poetry , and taught himself mathematics ( and also French and German ) to a level which permitted him to engage in research in mathematics . He began publishing in 1841 , first and frequently in The Cam- bridge ...
... languages and wrote poetry , and taught himself mathematics ( and also French and German ) to a level which permitted him to engage in research in mathematics . He began publishing in 1841 , first and frequently in The Cam- bridge ...
Σελίδα xxiii
... I should be . I should of course be glad to assist him in any way , particularly as regards language . But he would be the editor . Despite Couturat's willingness to act , nothing happened in the §3 xxiii The fate of Boole's Nachlass.
... I should be . I should of course be glad to assist him in any way , particularly as regards language . But he would be the editor . Despite Couturat's willingness to act , nothing happened in the §3 xxiii The fate of Boole's Nachlass.
Σελίδα xxvi
... language in logic than had normally obtained among the syllogists , they laid emphasis on signs as keys to logical knowledge ; indeed , Locke used the word " semiotics " in the fourth Book of his Essay concerning human understanding ...
... language in logic than had normally obtained among the syllogists , they laid emphasis on signs as keys to logical knowledge ; indeed , Locke used the word " semiotics " in the fourth Book of his Essay concerning human understanding ...
Σελίδα xxxiii
... language affords the signs by which these operations of the mind are expressed and communicated ” , as Whately put it ( 1826a , 55 ) . It marked a significant change of emphasis from Boole's neutral remark in MAL that " The theory of ...
... language affords the signs by which these operations of the mind are expressed and communicated ” , as Whately put it ( 1826a , 55 ) . It marked a significant change of emphasis from Boole's neutral remark in MAL that " The theory of ...
Σελίδα xxxiv
... language containing not only nouns , adjectives and prepositions but also verbs ( page 48 ) . Another one marks the début of his concern with the role of integers in his logic ( Panteki 1992a , ch . 8 ) ; maybe Cayley's letter had ...
... language containing not only nouns , adjectives and prepositions but also verbs ( page 48 ) . Another one marks the début of his concern with the role of integers in his logic ( Panteki 1992a , ch . 8 ) ; maybe Cayley's letter had ...
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