Bertrand RussellIn addition to being one of the most important logicians and philosophers of this century, Russell was also one of its most prominent public figures, and his influence on his time was not confined to academic subjects. This book deals with Russell's work on the foundation of mathematics and to the philosophical method that he developed as a consequence of his successes in that field, but there are also examples of the more popular side of his work, with discussions of positions he defended in the philosophy of religion, political philosophy, history, and education, and one of the dominant themes of his life, political activism. |
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Page 22
... proved ' deductively , it follows that , if the extensionality principle is retained unmodified , all mathematical propositions , both the true and the false , can be ' proved ' as theorems of the system . This will not do . Some change ...
... proved ' deductively , it follows that , if the extensionality principle is retained unmodified , all mathematical propositions , both the true and the false , can be ' proved ' as theorems of the system . This will not do . Some change ...
Page 33
... proved nor disproved by empirical evidence ' . Taken together they yield a definition of ' philosophy ' : ' philosophy is the science of the possible . ' Another way to make the same point is to say that philosophy is ...
... proved nor disproved by empirical evidence ' . Taken together they yield a definition of ' philosophy ' : ' philosophy is the science of the possible . ' Another way to make the same point is to say that philosophy is ...
Page 97
... proved , as we have seen above . But , Russell argues , let us suppose that the connection holds . We still have to ... prove inevitability , but assumes desirability . If his proof of inevitability is wrong , socialism might still prove ...
... proved , as we have seen above . But , Russell argues , let us suppose that the connection holds . We still have to ... prove inevitability , but assumes desirability . If his proof of inevitability is wrong , socialism might still prove ...
Contents
A SKETCH OF HIS LIFE | 1 |
MATHEMATICS | 15 |
SCIENTIFIC METHOD IN PHILOSOPHY | 27 |
Copyright | |
5 other sections not shown
Common terms and phrases
action Allen & Unwin analysis analytical appearance argues argument author of Waverley belief Bertrand Russell called Cambridge common conclusion criticism definite descriptions democracy derivative desires developed discussion doctrine entities essay ethics example existence external world facts false favour foundations of mathematics G. E. Moore George Allen given golden mountain human hypotheses important intuition king of France labour Lady Ottoline later Leibniz logical constructions London Marx Marx's mathematical logic means metaphysics method in philosophy mind Moore ontological argument passion Peano's percepts person perspective political theory position possible predicate premisses present king Principia Mathematica Principles of Mathematics problem proof propositions proved published question reading reason relations religion Russell thinks Russell's scientific method sense-data Simon and Schuster Social Social Democracy sort statement theory of descriptions theory of knowledge things thought true Whitehead whole writings wrote York