The Building of the Intellect a Contribution Towards Scientific Method in Educa
The Building of the Intellect a Contribution Towards Scientific Method in Educa
Douglas M Douglas Montague Gane
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' The peculiar character of mathematical truth, ' says Dr. Whewell, ' is that it is neces- sarily and inevitably true. ' We are concerned in this study, he proceeds, ' with long chains of reasoning in which each link hangs from all the preceding. ' We take for our premises some obvious truth, and upon this we build a suc- cession of other truths, which, if our reason- ing be sound, are each and all necessarily and inevitably true. ' Pure mathematics, ' says the Rev. J. Joyce, 'have one peculiar... and dis- tinguishing advantage, that they occasion no Mathematics Science 95 disputes among wrangling disputants as in other branches of knowledge ; and the reason is because the definitions of the terms are premised, and everybody that reads a propo- sition has the same idea of every part of it. Hence it is easy to put an end to all mathe- matical controversies by showing either that our adversary has not stuck to his definitions, or has not laid down true premises, or else that he has drawn false conclusions from true principles.
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