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Bertrand Russell

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If any philosopher had been asked for a definition of infinity, he might have produced some unintelligible rigmarole, but he would certainly not have been able to give a definition that had any meaning at all.
--
Ch. 5: Mathematics and the Metaphysicians

 
Bertrand Russell

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If the definition of simultaneity is given from a moving system, the spherical surface will result when Einstein's definition with ? = 1/2 is used, since it is this definition which makes the velocity of light equal in all directions.

 
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The election's coming just in a couple of weeks, and I hope you're praying about your vote. One of the propositions, of course, that I want to mention is Proposition 8, which is the proposition that had to be instituted because the courts threw out the will of the people. And a court of four guys actually voted to change a definition of marriage that has been going for 5,000 years.
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A definition, if it is to be called perfect, must explain the inmost essence of a thing, and must take care not to substitute for this any of its properties. In order to illustrate my meaning, without taking an example which would seem to show a desire to expose other people's errors, I will choose the case of something abstract, the definition of which is of little moment. Such is a circle. If a circle be defined as a figure, such that all straight lines drawn from the center to the circumference are equal, every one can see that such a definition does not in the least explain the essence of a circle, but solely one of its properties. Though, as I have said, this is of no importance in the case of figures and other abstractions, it is of great importance in the case of physical beings and realities: for the properties of things are not understood so long as their essences are unknown. If the latter be passed over, there is necessarily a perversion of the succession of ideas which should reflect the succession of nature, and we go far astray from our object.

 
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