## Introduction to Mathematical PhilosophyBertrand Russell is probably the most important philosopher of mathematics in the 20th century. He brought together his formidable knowledge of the subject and skills as a gifted communicator to provide a classic introduction to the philosophy of mathematics. |

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aliorelative argument arithmetic assert assume asymmetrical asymmetrical relation author of Waverley axiom of infinity belongs called Cantor cardinal number chapter classes of classes commutative law complex numbers consider consists converse domain correlation Dedekindian deduction defined example existence fact finite follows formally equivalent fractions generalised geometry given greater identical implies q inductive cardinal inductive numbers inference infinite number integers irrational less limit limiting-points logical logical constants mathematical induction means multiplicative axiom N0 terms namely natural numbers not-p notion null-class number of individuals number of terms object one-many relations one-one relation ordinal Peano's philosophy of mathematics possible posterity premisses primitive ideas primitive propositions Principia Mathematica progression propositional function prove real numbers reflexive relation-numbers sense serial number series of ratios set of terms similar so-and-so Socrates sometimes true square sub-classes successor suppose symbols theory thing tion truth-functions unicorn upper section values variable words