Alexander Campbell Fraser

Summary

Alexander Campbell Fraser,  Thomas Reid — Chapter VII (1898)

“ You know well, sir, that mathematics affords many instances of impossibilities in the nature of things, which no man would have dreamed of or believed, until they were discovered by accurate and subtle reasoning. Perhaps if we were able to reason demonstratively to as great an extent in other subjects as in mathematics, we might discover many things to be impossible which we now take to be possible. We are apt to think it possible that God might have made an universe of sensible and rational creatures, into which neither natural nor moral Evil should ever enter. ”
Source: Wikisource

Alexander Campbell Fraser,  Thomas Reid — Chapter VII (1898)

“ What I take to be the genuine Philosophy of the Human Mind is in so low a state, and has so many enemies, that I apprehend those who would make any improvement in it must, for some time at least, build with one hand, and hold a weapon with the other.' So Reid claimed the office of modern reformer of the philosophy of human mind, as Bacon and others had been the reformers of the sciences which interpret external nature. ”
Source: Wikisource

Alexander Campbell Fraser,  Thomas Reid — Chapter VII (1898)

“ May not a man who is a mathematician as distinctly conceive that in the infinite variety of numbers gradually ascending, there is no ratio whatsoever which is not equal to the ratio of some one whole number to some other whole number? Yet the mathematician can demonstrate that there are innumerable ratios which are not equal to the ratio of some one number to another. Many mathematicians, taking it for granted that it was possible to square the circle, have spent their lives in a fruitless pursuit. ”
Source: Wikisource

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