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Partial Failure of Euclid (I. 4) in Time-Space Theory

Published online by Cambridge University Press:  03 November 2016

Alfred A. Robb
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Extract

In the Mathematical Gazette of October 1928, page 234, there appears a quotation from a letter of Chief Baron Pollock to his son, when an undergraduate at Trinity, in which, speaking of Euclid, he says: “I consider (I. 4) to be much more of a ‘pons asinorum’ than the 5th. Indeed I regard it as the test of a geometric spirit. If it be fairly conquered, it proves the existence of that logical accuracy which is the soul of mathematics, and to elicit and cultivate which is the great benefit which such studies confer as a branch of education.”

Type
Research Article
Information
The Mathematical Gazette , Volume 14 , Issue 202 , July 1929 , pp. 473 - 476
Copyright
Copyright © Mathematical Association 1929

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References

* An interesting analogy to this sort of thing in an entirely different domain is the fact, for Instance, that the intensities of a pain may be compared if suffered by the same individual, but cannot be compared if suffered by different individuals, although it be descriptively of the same type in both cases.

† The restriction of x0 to positive values is not really essential, but is convenient for the special purpose in view.