British Logic in the Nineteenth Century

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Dov M. Gabbay, John Woods
Elsevier, 2008 M03 10 - 750 páginas
The present volume of the Handbook of the History of Logic is designed to establish 19th century Britain as a substantial force in logic, developing new ideas, some of which would be overtaken by, and other that would anticipate, the century's later capitulation to the mathematization of logic.

British Logic in the Nineteenth Century is indispensable reading and a definitive research resource for anyone with an interest in the history of logic.

- Detailed and comprehensive chapters covering the entire range of modal logic
- Contains the latest scholarly discoveries and interpretative insights that answer many questions in the field of logic

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Contenido

Chapter 1 Benthams Logic
1
Chapter 2 Coleridges Logic
33
Chapter 3 Richard Whately and Logical Theory
75
Tunnelling through Sand to Place the Keystone in the Aristotelic Arch
93
William Whewell and the Logic of Induction
163
Chapter 6 The Logic of John Stuart Mill
229
Chapter 7 De Morgans Logic
283
On the Origins of Augustus de Morgans Early Logical Enquiries 18051835
381
Chapter 10 Lewis Carrolls Logic
457
Chapter 11 John Venn and Logical Theory
507
Chapter 12 William Stanley Jevons and the Substitution of Similars
515
Chapter 13 Hugh McColl and the Birth of Logical Pluralism
533
Chapter 14 The Idealists
605
Chapter 15 Bradleys Logic
663
Index
719
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Página 124 - By this way of analysis we may proceed from compounds to ingredients ; and from motions to the forces producing them ; and, in general, from effects to their causes ; and from particular causes to more general ones, till the argument end in the most general.
Página 282 - ... have a fatal kidney ailment, and the Society of Music Lovers has canvassed all the available medical records and found that you alone have the right blood type to help. They have therefore kidnapped you, and last night the violinist's circulatory system was plugged into yours, so that your kidneys can be used to extract poisons from his blood as well as your own. The director of the hospital now tells you, "Look, we're sorry the Society of Music Lovers did this to you — we would never have...
Página 122 - But hitherto I have not been able to discover the cause of those properties of gravity from phenomena, and I frame no hypotheses: for whatever is not deduced from the phenomena is to be called an hypothesis ; and hypotheses, whether metaphysical or physical, whether of occult qualities or mechanical, have no place in experimental philosophy.
Página 282 - You wake up in the morning and find yourself back to back in bed with an unconscious violinist. A famous unconscious violinist. He has been found to have a fatal kidney ailment, and the Society of Music Lovers has canvassed all the available medical records and found that you alone have the right blood type to help. They have therefore kidnapped you, and last night the violinist's circulatory system was plugged into yours, so that your kidneys can be used to extract poisons from his blood as well...
Página 122 - There is therefore much ground for hoping that there are still laid up in the womb of nature many secrets of excellent use, having no affinity or parallelism with anything that is now known, but lying entirely out of the beat of the imagination, which have not yet been found out.
Página 82 - The surprising fact, C, is observed; But if A were true, C would be a matter of course, Hence, there is reason to suspect that A is true.
Página 132 - But the inferring of premises from consequences is the essence of induction; thus the method in investigating the principles of mathematics is really an inductive method, and is substantially the same as the method of discovering general laws in any other science.
Página 131 - One of these, the proof that all pure mathematics deals exclusively with concepts definable in terms of a very small number of fundamental logical concepts, and that all its propositions are deducible from a very small number of fundamental logical principles, is undertaken in Parts II.
Página 282 - Look, we're sorry the Society of Music Lovers did this to you — we would never have permitted it if we had known. But still, they did it, and the violinist now is plugged into you. To unplug you would be to kill him. But never mind, it's only for nine months. By then he will have recovered from his ailment, and can safely be unplugged from you.
Página 111 - Theories put phenomena into systems. They are built up "in reverse" — retroductively. A theory is a cluster of conclusions in search of a premise. From the observed properties of phenomena the physicist reasons his way towards a keystone idea from which the properties are explicable as a matter of course.

Acerca del autor (2008)

Dov M. Gabbay is Augustus De Morgan Professor Emeritus of Logic at the Group of Logic, Language and Computation, Department of Computer Science, King's College London. He has authored over four hundred and fifty research papers and over thirty research monographs. He is editor of several international Journals, and many reference works and Handbooks of Logic.

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