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Principles Of Mathematics (Routledge Classics)
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.
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Paperback, 602 pages
Published
August 27th 2009
by Routledge
(first published 1903)
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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
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Jun 09, 2015
Nathan "N.R." Gaddis
marked it as i-want-money
·
review of another edition
Shelves:
philosophy,
cnp-review
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!!
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Where CNP C. steps boldly onto the scene
Rhubarb, rhubarb rhubarb rhubarb: rhubarb rhubarb [fruit or vegetable?]
Despite its title, this is NOT a math book, at least in the conventional definition of the term. [read : "conventional de ...more
____________________
Where CNP C. steps boldly onto the scene
Rhubarb, rhubarb rhubarb rhubarb: rhubarb rhubarb [fruit or vegetable?]
Despite its title, this is NOT a math book, at least in the conventional definition of the term. [read : "conventional de ...more
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.
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 ...more
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 ...more
Feb 07, 2017
Antonio
marked it as to-read
·
review of another edition
Shelves:
filosofia,
paulo-francis
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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
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Ampliamente discutido en Gödel, Escher, Bach: Un eterno y grácil bucle
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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
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He was awarded the Nobel Prize in Literature in 1950 "in recognition of his var ...more
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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.”
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“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.”
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