An Introduction to Mathematics (Classic Reprint) - Softcover

Inhaltsangabe

Excerpt from An Introduction to Mathematics

The reason for this failure of the science to live up to its reputation is that its funda mental ideas are not explained to the student disentangled from the technical procedure which has been invented to facilitate their exact presentation in particular instances. Accordingly, the unfortunate learner finds himself struggling to acquire a knowledge of a mass of details which are not illuminated by any general conception. Without a doubt, technical facility is a first requisite for valu able mental activity: we shall fail to appre ciate the rhythm of Milton, or the passion of Shelley, so long as we find it necessary to spell the words and are not quite certain of the forms of the individual letters. In this sense there is no royal road to learning. But it is equally an error to confine attention to technical processes, excluding consideration of general ideas. Here lies the road to pedantry.

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