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

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

Author: Various
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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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1 Chapter 1 THE INDEFINABLES OF LOGIC2 Chapter 2 OBJECTIVE VALIDITY OF THE "LAWS OF THOUGHT"3 Chapter 3 IDENTITY4 Chapter 4 IDENTITY OF CLASSES5 Chapter 5 ETHICAL APPLICATIONS OF THE LAW OF IDENTITY6 Chapter 6 THE LAW OF CONTRADICTION IN MODERN LOGIC7 Chapter 7 SYMBOLISM AND MEANING8 Chapter 8 NOMINALISM9 Chapter 9 AMBIGUITY AND SYMBOLIC LOGIC10 Chapter 10 LOGICAL ADDITION AND THE UTILITY OF SYMBOLISM11 Chapter 11 CRITICISM12 Chapter 12 HISTORICAL CRITICISM13 Chapter 13 IS THE MIND IN THE HEAD 14 Chapter 14 THE PRAGMATIST THEORY OF TRUTH15 Chapter 15 ASSERTION16 Chapter 16 THE COMMUTATIVE LAW17 Chapter 17 UNIVERSAL AND PARTICULAR PROPOSITIONS18 Chapter 18 DENIAL OF GENERALITY AND GENERALITY OF DENIAL19 Chapter 19 IMPLICATION20 Chapter 20 DIGNITY21 Chapter 21 THE SYNTHETIC NATURE OF DEDUCTION22 Chapter 22 THE MORTALITY OF SOCRATES23 Chapter 23 DENOTING24 Chapter 24 THE25 Chapter 25 NON-ENTITY26 Chapter 26 IS27 Chapter 27 AND AND OR28 Chapter 28 THE CONVERSION OF RELATIONS29 Chapter 29 PREVIOUS PHILOSOPHICAL THEORIES OF MATHEMATICS30 Chapter 30 FINITE AND INFINITE31 Chapter 31 THE MATHEMATICAL ATTAINMENTS OF TRISTRAM SHANDY32 Chapter 32 THE HARDSHIPS OF A MAN WITH AN UNLIMITED INCOME33 Chapter 33 THE RELATIONS OF MAGNITUDE OF CARDINAL NUMBERS34 Chapter 34 THE UNKNOWABLE35 Chapter 35 MR. SPENCER, THE ATHANASIAN CREED AND THE ARTICLES36 Chapter 36 THE HUMOUR OF MATHEMATICIANS37 Chapter 37 THE PARADOXES OF LOGIC38 Chapter 38 MODERN LOGIC AND SOME PHILOSOPHICAL ARGUMENTS39 Chapter 39 THE HIERARCHY OF JOKES40 Chapter 40 THE EVIDENCE OF GEOMETRICAL PROPOSITIONS41 Chapter 41 ABSOLUTE AND RELATIVE POSITION42 Chapter 42 LAUGHTER43 Chapter 43 "GEDANKENEXPERIMENTE" AND EVOLUTIONARY ETHICS