British Logic in the Nineteenth CenturyDov M. Gabbay, John Woods Elsevier, 10 мар. 2008 г. - Всего страниц: 750 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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1 | |
33 | |
75 | |
93 | |
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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abstract according algebra analysis appear applied argued argument assertion Boole Boole's Bradley British called Cambridge Carroll century claim Coleridge conception concerning conclusion connection considered contained critical definition diagrams discussion distinction edition Educational Elements example existence expression fact formal further geometry George given Hamilton History ideas identity important individual induction inference interpretation involved Jevons judgment kind knowledge language later laws Lewis logic logicians London MacColl mathematics means method Mill mind Morgan nature necessary noted notion objects observed operations original Oxford particular philosophy position possible predicate premises present Press principle probability problem propositions quantity Question reality reasoning reference regard relations represented result rules sense simply species syllogism syllogistic symbols theory things thought traditional true truth understanding University valid Whately Whewell Whewell's whole
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Стр. 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.
Стр. 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...
Стр. 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.
Стр. 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...
Стр. 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.
Стр. 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.
Стр. 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.
Стр. 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.
Стр. 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.
Стр. 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.