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Bertrand RussellMAGNIFYINGRussell, Bertrand Arthur William (1872 - 1970): British philosopher who studied mathematics and philosophy at Trinity College, Cambridge.

...Russell often approached the world through considerations of language. Once the real, as opposed to the apparent, structure of our statements is made explicit, we can discover, he thought, an isomorphism between between this structure and that of the world.

Isomorphic: Having the same structure, due to resemblance between corresponding parts. The term is applicable in relating material objects, social organisations, works of art, and abstract concepts. Often the resemblance referred to is determined on the basis of the functions of the parts. In logic and mathematics, the term is applied to models...

A Dictionary Of Philosophy. Second edition. (Pan Books 1984).


For example, a man who had seen a great many white swans might argue by our principle, that on the data it was probable that all swans were white, and this might be a perfectly sound argument. The argument is not disproved by the fact that some swans are black, because a thing may very well happen in spite of the fact that some data render it improbable. In the case of the swans, a man might know that colour is a very variable characteristic in many species of animals, and that, therefore, an induction as to colour is peculiarly liable to error. But this knowledge would be a fresh datum, by no means proving that the probability relatively to our previous data had been wrongly estimated. The fact, therefore, that things often fail to fulfil our expectations is no evidence that our expectations will not probably be fulfilled in a given case or a given class of cases. Thus our inductive principle is at any rate not capable of being disproved by an appeal to experience.

The Problems Of Philosophy. Bertrand Russell. Paperback edition. (Oxford University Press 1967). Page 37.


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