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
... Addition Subtraction Composition Abstraction 74 74 75 76 76 77 78 79 Law of mixed operations of Addition and Composition 80 Analysis of Judgment as Exercised within the Sphere of Formal Contents vii.
... Addition Subtraction Composition Abstraction 74 74 75 76 76 77 78 79 Law of mixed operations of Addition and Composition 80 Analysis of Judgment as Exercised within the Sphere of Formal Contents vii.
Σελίδα xviii
... addition , and exceptionally for a mathematician , two stain - glass windows were erected in Boole's memory . One was inserted around 1867 in the Great Hall of Queen's College Cork ; he is shown in one of the ten panels ( Figure 5 ) ...
... addition , and exceptionally for a mathematician , two stain - glass windows were erected in Boole's memory . One was inserted around 1867 in the Great Hall of Queen's College Cork ; he is shown in one of the ten panels ( Figure 5 ) ...
Σελίδα xx
... addition , no publications came from all this effort , although Mrs Boole still published on ( her version of ) his theories from time to time.3 Then , in 1905 , enter Bertrand Russell ( 1872-1970 ) , surprisingly and probably also ...
... addition , no publications came from all this effort , although Mrs Boole still published on ( her version of ) his theories from time to time.3 Then , in 1905 , enter Bertrand Russell ( 1872-1970 ) , surprisingly and probably also ...
Σελίδα xxi
... addition many papers which appeared to be connected with " The Laws of Thought " , and with the permission of the Royal Society my father had all the papers out for some years , and in conjunction with Alice Boole ( Mrs. Stott ) he ...
... addition many papers which appeared to be connected with " The Laws of Thought " , and with the permission of the Royal Society my father had all the papers out for some years , and in conjunction with Alice Boole ( Mrs. Stott ) he ...
Σελίδα xxix
... addition , the theory of classes which he used was the extensional part - whole kind , with ( for example ) x as part of 1. He also defined the conjunction ( x + y ) of two classes only when x and y had no parts in common : this met ...
... addition , the theory of classes which he used was the extensional part - whole kind , with ( for example ) x as part of 1. He also defined the conjunction ( x + y ) of two classes only when x and y had no parts in common : this met ...
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