The Principles of Mathematics |
Contents
CHAPTER I | 3 |
Applied mathematics is defined by the occurrence of constants which | 9 |
Distinction between implication and formal implication | 15 |
Copyright | |
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Common terms and phrases
argument Arithmetic assertion asymmetrical relation axiom axiom of Archimedes belongs Calculus called Cantor cardinal number chapter class of classes class of terms class-concept collection compact series complex numbers concept concerning considered contained continuity contradiction correlation defined definition denoted descriptive Geometry discussion distance distinct distinguish divisibility entities equal equivalent Euclidean space existence fact false finite integers finite number follows formal implication Frege given greater Hence ideal points identical implies indefinable infinite classes infinite wholes infinitesimal infinity irrationals kind Leibniz less limit logical constants logical product magnitude mathematical induction means metrical notion null-class number of terms object obtained one-one relation ordinal Peano philosophical plane possible predicate premisses presupposed progression projective Geometry projective space properties propositional function prove purely quantities question rational numbers real numbers regard seems segments sense serial relation similar Socrates straight line stretch supposed theory transfinite transitive relation true values variable zero