Quote by Edmund Burke, On the Sublime and
It is from this absolute indifference and tranquillity of the mind, that mathematical speculations derive some of the most considerable advantages; because there is nothing to interest the imagination; because the judgment sits free and unbiased to examine the point. All proportions, every arrangement of quantity, is alike to the understanding, because the same truths result to it from all; from greater from lesser, from equality and inequality.
Summary
This quote suggests that the absolute indifference and tranquility of the mind plays a crucial role in the benefits of mathematical speculations. The lack of imagination or emotional attachment allows for an unbiased judgment and unbiased examination of the subject. The understanding derives the same truths regardless of the proportions or arrangements of quantity, be it greater or lesser, equal or unequal. Hence, this state of neutrality enhances the comprehension and exploration of mathematical concepts.
Topics
Mathematics
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