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Heinrich Burkhardt
(10 Oct 1861 - 2 Nov 1914)
German mathematician who worked in analysis, particularly the theory of trigonometric series, and on the history of mathematics. As one of the examiners of Albert Einstein's PhD thesis (1905), he found that it demonstrated competence.
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Science Quotes by Heinrich Burkhardt (2 quotes)
An all-inclusive geometrical symbolism, such as Hamilton and Grassmann conceived of, is impossible.
— Heinrich Burkhardt
In 'Über Vectoranalysis', Jahresbericht der Deutschen Mathematiker Vereinigung (1901), 5, 52. As translated in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-book (1914), 200. From the original German, “Es kann keine allumfassende geometrische Symbolik geben, wie sie Grassmann und Hamilton sich dachten.”
We do not live in a time when knowledge can be extended along a pathway smooth and free from obstacles, as at the time of the discovery of the infinitesimal calculus, and in a measure also when in the development of projective geometry obstacles were suddenly removed which, having hemmed progress for a long time, permitted a stream of investigators to pour in upon virgin soil. There is no longer any browsing along the beaten paths; and into the primeval forest only those may venture who are equipped with the sharpest tools.
— Heinrich Burkhardt
In 'Mathematisches und wissenschaftliches Denken', Jahresbericht der Deutschen Mathematiker Vereinigung, Bd. 11, 55. In Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-book (1914), 91.
In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion.
(1987) --
Carl Sagan
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