Alfred Pringsheim

thumb|Mathematical knowledge is the only [knowledge] of which our otherwise omniscient journalism has not yet possessed itself. Alfred Pringsheim (2 September 1850 – 25 June 1941) was a German mathematician and patron of the arts. He was the father-in-law of the author and Nobel Prize winner Thomas Mann. Quotes Memorabilia Mathematica (1914) Edited by Robert Édouard Moritz thumb|Beyond the real world, though perceptibly connected with it, mathematicians have intellectually created an ideal world, which they attempt to develop into the most perfect of all worlds, and which is being explored in every direction. It is true that mathematics, owing to the fact that its whole content is built up by means of purely logical deduction from a small number of universally comprehended principles, has not unfittingly been designated as the science of the self-evident [Selbstverständlichen]. Experience however, shows that for the majority of the cultured, even of scientists, mathematics remains the science of the incomprehensible [Unverständlichen]. "Ueber Wert und angeblichen Unwert der Mathematik", Jahresbericht der Deutschen Mathematiker Vereinigung (1904), p. 357 p. 20, no. 232 Mathematical knowledge, therefore, appears to us of value not only in so far as it serves as means to other ends, but for its own sake as well, and we behold, both in its systematic external and internal development, the most complete and purest logical mind-activity, the embodiment of the highest intellect-esthetics. "Ueber Wert und angeblichen Unwert der Mathematik"; Jahresbericht der Deutschen Mathematiker Vereinigung, vol. 13, p. 381 p. 63, no. 439 Out of the interaction of form and content in mathematics grows an acquaintance with methods which enable the student to produce independently within certain though moderate limits, and to extend his knowledge through his own reflection. The deepening of the consciousness of the intellectual powers connected with this kind of activity, and the gradual awakening of the feeling of intellectual self-reliance may well be considered as the most beautiful and highest result of mathematical training. "Ueber Wert und angeblichen Unwert der Mathematik"; Jahresbericht der Deutschen Mathematiker Vereinigung (1904), p. 374 pp. 66–67, no. 448 I have come to the conclusion that the exertion, without which a knowledge of mathematics cannot be acquired, is not materially increased by logical rigor in the method of instruction. Jahresbericht der Deutschen Mathematiker Vereinigung (1898), p. 143 p. 83, no. 535 It may be asserted without exaggeration that the domain of mathematical knowledge is the only one of which our otherwise omniscient journalism has not yet possessed itself. "Ueber Wert und angeblichen Unwert der Mathematik"; Jahresbericht der Deutschen Mathematiker Vereinigung (1904) p. 357 p. 118, no. 732 If in Germany the goddess Justitia had not the unfortunate habit of depositing the ministerial portfolios only in the cradles of her own progeny, who knows how many a German mathematician might not also have made an excellent minister. Jahresbericht der Deutschen Mathematiker Vereinigung, vol. 13 (1904), p. 372 pp. 126–127, no. 824 The true mathematician is always a good deal of an artist, an architect, yes, of a poet. Beyond the real world, though perceptibly connected with it, mathematicians have intellectually created an ideal world, which they attempt to develop into the most perfect of all worlds, and which is being explored in every direction. None has the faintest conception of this world, except he who knows it. Jahresbericht der Deutschen Mathematiker Vereinigung, vol. 32, p. 381 p. 184, no. 1108 Just as the musician is able to form an acoustic image of a composition which he has never heard played by merely looking at its score, so the equation of a curve, which he has never seen, furnishes the mathematician with a complete picture of its course. Yea, even more: as the score frequently reveals to the musician niceties which would escape his ear because of the complication and rapid change of the auditory impressions, so the insight which the mathematician gains from the equation of a curve is much deeper than that which is brought about by a mere inspection of the curve. Jahresbericht der Deutschen Mathematiker Vereiningung, vol. 13, p. 364 p. 191, no. 1132 The domain, over which the language of analysis extends its sway, is, indeed, relatively limited, but within this domain it so infinitely excels ordinary language that its attempt to follow the former must be given up after a few steps. The mathematician, who knows how to think in this marvelously condensed language, is as different from the mechanical computer as heaven from earth. Jahresbericht der Deutschen Mathematiker Vereinigung, vol. 13, p. 367 p. 197, no. 1211 The analysis which is based upon the conception of function discloses to the astronomer and physicist not merely the formulae for the computation of whatever desired distances, times, velocities, physical constants; it moreover gives him insight into the laws of the processes of motion, teaches him to predict future occurrences from past experiences and supplies him with means to a scientific knowledge of nature, i.e. it enables him to trace back whole groups of various, sometimes extremely heterogeneous, phenomena to a minimum of simple fundamental laws. Jahresbericht der Deutschen Mathematiker Vereinigung, vol. 13, p. 366 pp. 238–239, no. 1548 External links Category:Mathematicians from Germany Category:Jews from Germany Category:1850 births Category:1941 deaths