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Updated: May 17, 2025
Some have said that Steevens was destined to be the Kinglake of the Transvaal. That is patently indemonstrable. His war correspondence was not the work of a stately historian. He could, out of sheer imaginativeness, create for himself the style of the stately historian.
But Euclid was not their discoverer; they were gradually evolved from the time of Pythagoras onwards. Aristotle is clear about the nature of the principles and their classification. It is not everything that can be proved, otherwise the chain of proof would be endless; you must begin somewhere, and you must start with things admitted but indemonstrable.
The same reasoning will apply to the indefinite number of supposed indemonstrable truths exempted from the profane approach of philosophic investigation by the amiable Beattie, and other less eloquent and not more profound inaugurators of common sense on the throne of philosophy; a fruitless attempt, were it only that it is the two-fold function of philosophy to reconcile reason with common sense, and to elevate common sense into reason.
The existence of the various things defined has to be proved except in the case of a few primary things in each science the existence of which is indemonstrable and must be assumed among the first principles of the science; thus in geometry we must assume the existence of points and lines, and in arithmetic of the unit.
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