Introduction to Mathematical Philosophy (Google eBook)As a mathematician, philosopher, logician, historian, socialist, pacifist and social critic, Bertrand Russell is noted for his "revolt against idealism" in Britain in the early 20th century, as well as his pacifist activism during WWI, a campaign against Adolf Hitler and later the United States' involvement in the Vietnam War. In addition to his political activism, he is considered to be one of the founders of analytic philosophy, receiving the Nobel Prize in Literature in 1950 for his various humanitarian and philosophical works. He wrote his "Introduction to Mathematical Philosophy" (1919) in order to elucidate in a less technical way the main ideas of his and N.A. Whitehead's earlier "Principia Mathematica". The work focuses on mathematical logic as related to traditional and contemporary philosophy, of which Russell remarks, "logic is the youth of mathematics and mathematics is the manhood of logic." It is regarded today as a lucid, accessible exploration of the gray area where mathematics and philosophy meet. 
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Review: Introduction to Mathematical Philosophy
User Review  Zach Augustine  Goodreads"For the moment, I do not know how to define "tautology"....It would be easy to offer a definition which might seem satisfactory for a while; but I know of none that I feel to be satisfactory, in ... Read full review
Review: Introduction to Mathematical Philosophy
User Review  Ahmed  GoodreadsOne of the hardest books I have read.....didnt understand most of it but I was determined to finish it....I somehow was able to grasp the essence of Russels teaching and I think my persistence paid ... Read full review
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afunctions 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 consists constituent converse domain correlation Dedekindian deduction defined example existence fact finite follows formally equivalent fractions geometry given inductive cardinal inductive numbers inference infinite number integers irrational less limit limitingpoints logical logical constants mathematical induction mathematical logic mathematical philosophy means multiplicative axiom namely natural numbers notion nullclass number of individuals number of terms object onemany relations oneone relation ordinal Peano's philosophy of mathematics possible posterity primitive ideas primitive propositions Principia Mathematica progression propositional function prove real numbers reflexive relationnumbers sense serial number series of ratios set of terms similar soandso Socrates sometimes true square subclasses successor suppose symbols theory thing truthfunctions unicorn upper section values variable words