Principles of MathematicsFirst published in 1903, Principles of Mathematics was Bertrand Russell’s first major work in print. It was this title which saw him begin his ascent towards eminence. In this groundbreaking and important work, Bertrand Russell argues that mathematics and logic are, in fact, identical and what is commonly called mathematics is simply later deductions from logical premises. Highly influential and engaging, this important work led to Russell’s dominance of analytical logic on western philosophy in the twentieth century. |
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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 contradiction correlation defined definition denoted descriptive Geometry discussion distance distinction distinguish entities enumeration equal equivalent Euclidean space existence fact false finite number follows formal implication Frege given greater Hence hold identical indefinable infinite classes infinitesimal infinity integers kind Leibniz less limit logical constants logical product magnitude material implication mathematical induction means metrical notion null-class number of terms object obtained one-one relation ordinal Peano philosophical plane possible predicate premisses presupposed principle projective Geometry projective space properties propositional function prove quantities question rational numbers real numbers regard seems segments sense Socrates straight line stretch supposed Symbolic Logic theory tion transfinite transitive transitive relation true values variable zero