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
... two well - received textbooks : A Treatise on Differential Equations ( 1859a in the bibliography ) , and A Treatise on the Calculus of Finite Differences in xiv Part 1 Boole's quest for the foundations of his logic §2 Life and career.
... two well - received textbooks : A Treatise on Differential Equations ( 1859a in the bibliography ) , and A Treatise on the Calculus of Finite Differences in xiv Part 1 Boole's quest for the foundations of his logic §2 Life and career.
Σελίδα xvi
... equations , as the first reader for intelligibility and also as checker of some of the exercises . After his death she proselytised Boole's philosophy , especially its application to educational questions , both in teaching and in print ...
... equations , as the first reader for intelligibility and also as checker of some of the exercises . After his death she proselytised Boole's philosophy , especially its application to educational questions , both in teaching and in print ...
Σελίδα xxi
... Equations . My father thinks that they extracted nearly all that was valuable of this nature . There were however in addition many papers which appeared to be connected with " The Laws of Thought " , and with the permission of the Royal ...
... Equations . My father thinks that they extracted nearly all that was valuable of this nature . There were however in addition many papers which appeared to be connected with " The Laws of Thought " , and with the permission of the Royal ...
Σελίδα xxvii
... equations , sum series and evaluate integrals . The results were often correct although the foundations of this algebra were mysterious ; for example , as critics pointed out , the orders of differentiation were identified with the ...
... equations , sum series and evaluate integrals . The results were often correct although the foundations of this algebra were mysterious ; for example , as critics pointed out , the orders of differentiation were identified with the ...
Σελίδα xxviii
... equations , and examining non - commutative operator functions F and G for which F ( D ) G ( D ) #G ( D ) F ( D ) . He ... equation y = z implies that the classes Y and Z are equiv- alent , member for member " ( p.19 ) . Boole then set ...
... equations , and examining non - commutative operator functions F and G for which F ( D ) G ( D ) #G ( D ) F ( D ) . He ... equation y = z implies that the classes Y and Z are equiv- alent , member for member " ( p.19 ) . Boole then set ...
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