George Boole: Selected Manuscripts on Logic and its Philosophy

Εξώφυλλο
Ivor 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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Περιεχόμενα

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
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