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The philosophy of B*rtr*nd R*ss*ll

The philosophy of B*rtr*nd R*ss*ll

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Chapter 1 THE INDEFINABLES OF LOGIC

Word Count: 1184    |    Released on: 06/12/2017

Tweedledee, it may be remembered,[4] remarked that certain identities "are" logic. Now, there is some doubt as to whether he, like Jevons,[5] unders

may have been indicated by Tweedledee's frequent use of the word "contrariwise" that he did not follow the majority of logi

serve different purposes,[10] and his proclivity towards riddles seem to make out a good case for those who hold that he was in fact a Hegelian. Indeed, riddles are very closely allied to puns, and it was upon a pun, consisting of the confusion of the "is" of predication with the "is" of identity-so that, for example, "Socrates" was identified with "mortal" an

at achievement of late years has been to prove the consistency of the principles of arithmetic, a science which is unreservedly accepted except by some empiricists,[14] it can be proved formally that one foundation of arithmetic is shattered.[15] It is true that, quite lately, it has been shown that this conclusion may be avoi

alternatives: if we chose principles in accordance with common-sense, we arrived at conclusions which shocked common-sense; by starting with para

ught; and, in the second place, people think that the "Laws" have something to do with holding for the operations of their minds, just as laws of nature hold for events in the world around us.[17] But that the

othing to do with mind is given by the phrase "it is morally certain that such-and-such a proposition is true." Now, in the first place, morality, curiously enough, seems to be closely associated with mental acts: we have professorships and lectureships of, and examinations in, "mental and moral philosophy." In the

t, throughout all logic and mathematics, the existence of the human or any other mind is totally irrelevant; mental processes are studied by means of logic, but the subject-matter of logic does not presuppose mental processes, and would be equally true if there were n

Ph. L., pp. 1

er, A. d.

strates the importance attached to the Prin

o. S.,

. L., i.

one, E. L. L., pp. 183, 191. "Contrariwise," it may

pp. 173-5, 324-5;

el and the Metaphysics of the Fluxional Calculus," Tr

ee App

lished about three years after the death of Mr. R*ss*ll, and entitled Our Knowledge of the

h. L., pp.

R. M. M., Marc

and his lack of comprehension of pure mathematics, may be taken (see Appendix C). In his (correct)

rege, Gg.,

ee App

rege, Gg.,

ve references an

sell, H. J., Ju

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Contents

Chapter 1 THE INDEFINABLES OF LOGIC Chapter 2 OBJECTIVE VALIDITY OF THE "LAWS OF THOUGHT" Chapter 3 IDENTITY Chapter 4 IDENTITY OF CLASSES Chapter 5 ETHICAL APPLICATIONS OF THE LAW OF IDENTITY Chapter 6 THE LAW OF CONTRADICTION IN MODERN LOGIC Chapter 7 SYMBOLISM AND MEANING Chapter 8 NOMINALISM Chapter 9 AMBIGUITY AND SYMBOLIC LOGIC Chapter 10 LOGICAL ADDITION AND THE UTILITY OF SYMBOLISM Chapter 11 CRITICISM
Chapter 12 HISTORICAL CRITICISM
Chapter 13 IS THE MIND IN THE HEAD
Chapter 14 THE PRAGMATIST THEORY OF TRUTH
Chapter 15 ASSERTION
Chapter 16 THE COMMUTATIVE LAW
Chapter 17 UNIVERSAL AND PARTICULAR PROPOSITIONS
Chapter 18 DENIAL OF GENERALITY AND GENERALITY OF DENIAL
Chapter 19 IMPLICATION
Chapter 20 DIGNITY
Chapter 21 THE SYNTHETIC NATURE OF DEDUCTION
Chapter 22 THE MORTALITY OF SOCRATES
Chapter 23 DENOTING
Chapter 24 THE
Chapter 25 NON-ENTITY
Chapter 26 IS
Chapter 27 AND AND OR
Chapter 28 THE CONVERSION OF RELATIONS
Chapter 29 PREVIOUS PHILOSOPHICAL THEORIES OF MATHEMATICS
Chapter 30 FINITE AND INFINITE
Chapter 31 THE MATHEMATICAL ATTAINMENTS OF TRISTRAM SHANDY
Chapter 32 THE HARDSHIPS OF A MAN WITH AN UNLIMITED INCOME
Chapter 33 THE RELATIONS OF MAGNITUDE OF CARDINAL NUMBERS
Chapter 34 THE UNKNOWABLE
Chapter 35 MR. SPENCER, THE ATHANASIAN CREED AND THE ARTICLES
Chapter 36 THE HUMOUR OF MATHEMATICIANS
Chapter 37 THE PARADOXES OF LOGIC
Chapter 38 MODERN LOGIC AND SOME PHILOSOPHICAL ARGUMENTS
Chapter 39 THE HIERARCHY OF JOKES
Chapter 40 THE EVIDENCE OF GEOMETRICAL PROPOSITIONS
Chapter 41 ABSOLUTE AND RELATIVE POSITION
Chapter 42 LAUGHTER
Chapter 43 "GEDANKENEXPERIMENTE" AND EVOLUTIONARY ETHICS
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