The philosophy of B*rtr*nd R*ss*ll
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Chapter 29 PREVIOUS PHILOSOPHICAL THEORIES OF MATHEMATICS
Word Count: 466
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Released on: 06/12/2017
Mathematicians usually try to found mathematics on two principles:[78] one is the principle of confusion between the sign and the thing signified (they call this principle the foundation-stone of the formal theory), and the other is the Principle of the Identity of Discernibles (which they call the principle of the permanence of equivalent forms).
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