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Principles Of Mathematics (Routledge Classics)

3.99  ·  Rating Details ·  298 Ratings  ·  14 Reviews
First 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. ...more
Paperback, 602 pages
Published August 27th 2009 by Routledge (first published 1903)
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Sep 06, 2013 Manny marked it as to-read  ·  review of another edition
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Jun 17, 2009 Keshav rated it it was amazing  ·  review of another edition
Recommends it for: Anyone interested in philosophy
Despite its title, this is NOT a math book, at least in the conventional definition of the term. It is indeed true that the subject matter of the book is indeed mathematics, but it neither teaches the reader any math nor assumes that the reader knows much math. At first glance, it seems to explore the question "What is mathematical knowledge?". At a deeper level, however, this is a book about philosophy, specifically epistemology. What is knowledge and how is it different from mere belief, and w ...more
Justin Yeary
Apr 11, 2012 Justin Yeary rated it did not like it  ·  review of another edition
My favorite part was where they took about 50 pages to prove that 1+1=2
G.R. Reader
When I'm tired and depressed, I often spend half an hour flicking through this and underlining the mistakes. It never fails to cheer me up.
Nathan "N.R." Gaddis
unreadable jargon=drenched masturbatory circle jerk. who do these guys think they are making up words ; and then there's the target audience, a bunch of snobbish pocket=protector wearing "geniuses". I'm calling emperor's new clothes on this one!!

Where CNP C. steps boldly onto the scene

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Despite its title, this is NOT a math book, at least in the conventional definition of the term. [read : "conventional de
Eric Pecile
Dec 08, 2015 Eric Pecile rated it it was amazing  ·  review of another edition
One of the most comprehensive works on logic ever written. Synthesizes many key principles of classical logic and adds new ones that are extremely innovative and useful. Successfully demonstrates the logical nature of language and the universe and how it translates into the symbolic realm of mathematics. Very useful for humanities students looking to ensure soundness in their rhetoric and provides a good framework to critique arguments.
Feb 28, 2017 Moisés rated it it was amazing  ·  review of another edition
Bertrand Russell's greatest pieces of philosophical writing could probably be said to be "The Principles of Mathematics", "On Denoting" and with Alfred North Whitehead "Principia Mathematica". There is however one sense in which it could be said that the russellian magnum opus is The Principles of Mathematics, from here on TPM.

TPM is, arguably, the culmination in print of a long process of thought and concern, philosophically speaking, of Russell's intellectual preoccupations from his adolescenc
Dec 09, 2009 Cayden rated it liked it  ·  review of another edition
Shelves: philosophy
Bertrand Russell has always given me a bit of a headache.
Samuel Kachmar
has anybody read this??
Feb 07, 2017 Antonio marked it as to-read  ·  review of another edition
This review has been hidden because it contains spoilers. To view it, click here.
This method is, to define as the number of a class the class of all classes similar to the given class. Membership of this class of classes (considered as a predicate) is a common property of all the similar classes and of no others; moreover every class of the set of similar classes has to the set of a relation which it has to nothing else, and which every class has to its own set. Thus the conditions are completely fulfilled by this class of classes, and it has the merit of being determinate w ...more
Michael Ogundipe
One of the most powerful work ever done. Sir Isaac Newton was undoubtedly one of the geniuses of our universe!!
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  • Philosophy of Mathematics: Selected Readings
  • Proofs and Refutations: The Logic of Mathematical Discovery
  • The Value of Science: Essential Writings of Henri Poincare
  • The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number
  • Linear Algebra and Its Applications
  • Mathematics: The Loss of Certainty
  • What Is Mathematics, Really?
  • A History of Mathematics
  • The Colossal Book of Mathematics
  • Thinking about Mathematics: The Philosophy of Mathematics
  • Lectures on the Foundations of Mathematics, Cambridge 1939
  • Where Mathematics Come From: How the Embodied Mind Brings Mathematics into Being
  • What Is Mathematics?: An Elementary Approach to Ideas and Methods
  • Naive Set Theory
  • Infinity and the Mind: The Science and Philosophy of the Infinite
  • Gödel's Proof
  • The Fractal Geometry of Nature
  • On Formally Undecidable Propositions of Principia Mathematica and Related Systems
Bertrand Arthur William Russell, 3rd Earl Russell, OM, FRS, was a Welsh philosopher, historian, logician, mathematician, advocate for social reform, pacifist, and prominent rationalist. Although he was usually regarded as English, as he spent the majority of his life in England, he was born in Wales, where he also died.

He was awarded the Nobel Prize in Literature in 1950 "in recognition of his var
More about Bertrand Russell...

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“The only logical meaning of necessity seems to be derived from implication. A proposition is more or less necessary according as the class of propositions for which it is a premiss is greater or smaller.* In this sense the propositions of logic have the greatest necessity, and those of geometry have a high degree of necessity. But this sense of necessity yields no valid argument from our inability to imagine holes in space to the conclusion that there cannot really be any space at all except in our imaginations.” 0 likes
“There is no reason, therefore, so far as I am able to perceive, to deny the ultimate and absolute philosophical validity of a theory of geometry which regards space as composed of points, and not as a mere assemblage of relations between non-spatial terms.” 0 likes
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