British Logic in the Nineteenth Century
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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Chapter 6 The Logic of John Stuart Mill
Chapter 7 De Morgans Logic
On the Origins of Augustus de Morgans Early Logical Enquiries 18051835
Chapter 10 Lewis Carrolls Logic
Chapter 11 John Venn and Logical Theory
Chapter 12 William Stanley Jevons and the Substitution of Similars
Chapter 13 Hugh McColl and the Birth of Logical Pluralism
Chapter 14 The Idealists
Chapter 15 Bradleys Logic
abstract algebra Analysis of Logic argued argument Aristotelian arithmetic assertion Augustus De Morgan Bentham Bertrand Russell Boole Boole's Boolean Bosanquet Bradley British calculus Cambridge Carroll's categorical propositions century claim Coleridge Coleridge's conception connexive consilience diagrams disjunction distinction edition Educational Times Reprint Elements epistemology example expression fact formal logic geometry George George Bentham George Boole Grattan-Guinness Hamilton Hegel History Hugh MacColl hypothetical ideas identity implication induction inference intensive quantity interpretation Jevons judgment Kant knowledge Lacroix language Laws of Thought Lewis Carroll logicians London MacColl MacColl's mathematics means metaphysical method Mill Mill's mind Morgan nature negation notion objects Oxford Panteki particular philosophy predicate premises principle propositions quantification quantity reality reasoning relations Richard Whately sense Solution to Question syllogism syllogistic logic Symbolic Logic System of Logic theory things traditional true truth University Press valid Venn Whately Whately's Whewell's William Whewell
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.
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