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Chapter 10 LOGICAL ADDITION AND THE UTILITY OF SYMBOLISM

Word Count: 620    |    Released on: 06/12/2017

n (say Mr. Jones) wishes to speak collectively of himself and his wife, the order of mentioning the terms in the class considered and the names applied to

. Jones

) and my wif

wife

or me) and

ere a member of the upper, upper middle, or lower class; while form (4) is only used by retired shopkeepers of the lower middle-class, of which a male member usually combines belief in the supremacy of man with belief in the dignity of his wife as well as himself. A further

three classes of males, females, and dead people, we can define "wife" (a female who has the relation formed by taking the relative product of P and P?[36] to a male), "sister," "deceased wife," and "deceased wife's sister" in terms of these ideas and of the fundamental notions of logic. Then the proposition "No man marries his deceased wife's sister" can be expressed unambiguously by about twenty-nine simple sig

r example, the logical interpretation of "The father of Charles II was executed" is, "It is not always false of x that x begat Charles II, and that x was executed and that 'if y begat Charles II, y is identical with x' is always true of y.

Chapter X

notation for the rel

N. S., vol. xiv., O

cf. M., vol. xxii., 1912, p. 153. [This essay is reprinted in

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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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