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Aggregates, 12.
Aliorelatives, 32.
All, 158ff.
Analysis, 4.
Arithmetising of mathematics, 4.
Axioms, 1.
Bolzano, 138n.
Boots and socks, 126.
Classes, 12, 137, 181ff.; reflexive, 80, 127, 138; similar, 15, 16.
Clifford, W. K., 76.
Collections, infinite, 13.
Conjunction, 147.
Constants, 202.
Construction, method of, 73.
Continuity, 86, 97ff.; Cantorian, 102ff.; Dedekindian, 101; in philosophy, 105; of functions, 106ff.
Contradictions, 135ff.
Convergence, 115.
Correlators, 54.
Counterparts, objective, 61.
Deduction, 144ff.
Derivatives, 100.
Dimensions, 29.
Disjunction, 147.
Diversity, 87.
Equivalence, 183.
Euclid, 67.
Extension of a relation, 60.
Finite, 27.
Flux, 105.
Form, 198.
Functions, 46; descriptive, 46, 180; intensional and extensional, 186; predicative, 189; propositional, 46, 144, 155ff.
Generalisation, 156.
Hegel, 107.
Hereditary properties, 21.
Incomplete symbols, 182.
Indiscernibles, 192.
Inductive properties, 21.
Inference, 148ff.
Infinite, 28; of rationals, 65; Cantorian, 65; of cardinals, 77ff.; and series and ordinals, 89ff.
Instances, 156.
Integers, positive and negative, 64.
Intervals, 115.
Intuition, 145.
Kant, 145.
Likeness, 52.
Limiting points, 99.
Logicising of mathematics, 7.
Mathematics, 194ff.
Median class, 104.
Meinong, 169.
Method, vi.
Modality, 165.
Multiplication, 118ff.
Necessity, 165.
Neighbourhood, 109.
Number, cardinal, 10ff., 56, 77ff., 95; complex, 74ff.; finite, 20ff.; inductive, 27, 78, 131; infinite, 77ff.; irrational, 66, 72; maximum ? 135; multipliable, 130; natural, 2ff., 22; non-inductive, 88, 127; real, 66, 72, 84; reflexive, 80, 127; relation, 56, 94; serial, 57.
Occam, 184.
Occurrences, primary and secondary, 179.
Ontological proof, 203.
Oscillation, ultimate, 111.
Parmenides, 138.
Peirce, 32n.
Permutations, 50.
Plato, 138.
Plurality, 10.
Poincaré, 27.
Points, 59.
Precedent, 98.
Premisses of arithmetic, 5.
Reducibility, axiom of, 191.
Referent, 48.
Relation-numbers, 56ff.
Relations, asymmetrical, 31, 42; connected, 32; many-one, 15; one-many, 15, 45; one-one, 15, 47, 79; reflexive, 16; serial, 34; similar, 52ff.; squares of, 32; symmetrical, 16, 44; transitive, 16, 32.
Relatum, 48.
Representatives, 120.
Rigour, 144.
Royce, 80.
Selections, 117ff.
Sequent, 98.
Series, 29ff.; closed, 103; compact, 66, 93, 100; condensed in itself, 102; Dedekindian, 71, 73, 101; generation of, 41; infinite, 89ff.; perfect, 102, 103; well-ordered, 92, 123.
Sheffer, 148.
Some, 158ff.
Structure, 60ff.
Sub-classes, 84ff.
Subjects, 142.
Subtraction, 87.
Syllogism, 197.
Truth-function, 147.
Truth-value, 146.
Unreality, 168.
Veblen, 58.
Verbs, 141.
Wells, H. G., 114.
Wittgenstein, 205n.
Zero, 65.