British Logic in the Nineteenth CenturyDov 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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Página 61
... negation." As I have shown elsewhere, this is because the conception of alterity that Coleridge locates at the heart of his higher logic of reason is not driven by the power of negation, but by the altogether obscurer agency of the ...
... negation." As I have shown elsewhere, this is because the conception of alterity that Coleridge locates at the heart of his higher logic of reason is not driven by the power of negation, but by the altogether obscurer agency of the ...
Página 63
... negation of the other [...]." For Coleridge, duality, opposition, difference, contradiction, all presuppose a more fundamental unity. As he continues to explain, the negation in dichotomic logic is “a mere act of the mind, arising from ...
... negation of the other [...]." For Coleridge, duality, opposition, difference, contradiction, all presuppose a more fundamental unity. As he continues to explain, the negation in dichotomic logic is “a mere act of the mind, arising from ...
Página 65
... negation, as in Hegel, but by "Indeed, Perkins claims that the principle of difference-in-unity is the very foundation of Coleridge's system' (39). *Coleridge, Church and State 24. *Coleridge, Church and State 24. *Coleridge, Shorter ...
... negation, as in Hegel, but by "Indeed, Perkins claims that the principle of difference-in-unity is the very foundation of Coleridge's system' (39). *Coleridge, Church and State 24. *Coleridge, Church and State 24. *Coleridge, Shorter ...
Página 117
... negation of identity between a given concept and the objects constitutive of it or to which it may be related (or through which other concepts or particulars may be thought) (LL.I.154). As we shall see later, he does regard the axiom or ...
... negation of identity between a given concept and the objects constitutive of it or to which it may be related (or through which other concepts or particulars may be thought) (LL.I.154). As we shall see later, he does regard the axiom or ...
Página 119
... negation (which I shall not attempt to explain). The table distinguishes between individuals or singulars (2, 2', 2') and classes (A, E, I, O, U). The highest genus or widest attribute is given as A, A, A, etc., the subaltern genera and ...
... negation (which I shall not attempt to explain). The table distinguishes between individuals or singulars (2, 2', 2') and classes (A, E, I, O, U). The highest genus or widest attribute is given as A, A, A, etc., the subaltern genera and ...
Contenido
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
Pasajes populares
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.