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German Mathematician Quotes
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In the Theory of Numbers it happens rather frequently that, by some unexpected luck, the most elegant new truths spring up by induction.
Carl Friedrich Gauss
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Mathematics is perfectly free in its development and is subject only to the obvious consideration, that its concepts must be free from contradictions in themselves, as well as definitely and orderly related by means of definitions to the previously existing and established concepts.
Georg Cantor
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Sane judgment abhors nothing so much as a picture perpetrated with no technical knowledge, although with plenty of care and diligence. Now the sole reason why painters of this sort are not aware of their own error is that they have not learnt Geometry, without which no one can either be or become an absolute artist; but the blame for this should be laid upon their masters, who are themselves ignorant of this art.
Albrecht Dürer
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As a boy of six I could understand the proof of a mathematical theorem more readily than that meat had to be cut with one's knife, not one's fork.
Ferdinand Eisenstein
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One cannot require that everything shall be defined, any more than one can require that a chemist shall decompose every substance.
Gottlob Frege
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The infinite, like no other problem, has always deeply moved the soul of men. The infinite, like no other idea, has had a stimulating and fertile influence upon the mind. But the infinite is also more than any other concept, in need of clarification.
David Hilbert
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Mathematics exists solely for the honour of the human mind.
Carl Gustav Jacob Jacobi
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Number theorists are like lotus-eaters — having once tasted of this food they can never give it up.
Leopold Kronecker
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Please forget whatever you've been studying at school; for you have not learned it.
Edmund Landau
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An advantage could consist not only in a single important advantage but also in a multitude of insignificant advantages.
Emanuel Lasker
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The design of this Memoir is to deduce strictly from a few principles, obtained chiefly by experiment, the rationale of those electrical phenomena which are produced by the mutual contact of two or more bodies, and which have been termed galvanic; its aim is attained if by means of it the variety of facts be presented as unity to the mind.
Georg Ohm
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As far as I can see, all a priori statements in physics have their origin in symmetry.
Hermann Weyl
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Mathematics is the science of the connection of magnitudes. Magnitude is anything that can be put equal or unequal to another thing. Two things are equal when in every assertion each may be replaced by the other.
Hermann Grassmann
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Most often it is the case that people know that something big can be manipulated with it [i. e., the screw], but not how and in what way it is connected to time, and that untold time, and finally such force of machines, wheels, and shafts is necessary as cannot be produced nor be had.
Jacob Leupold
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It is widely believed that in our quantum world physical facts about occurrences in space time must be grounded in the wave function. There are several long recognized and much discussed difficulties with this view.
Detlef Dürr
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From this hour on, space as such and time as such shall recede to the shadows and only a kind of union of the two retain significance.
Hermann Minkowski
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Miracles are not to be multiplied beyond necessity.
Gottfried Wilhelm Leibniz
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And how admirable and rare an ornament, O good God, is mildenesse in a divine? And how much is it to be wished in this age, that all divines were mathematicians? that is men gentle and meeke.
Bartholomaeus Pitiscus
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It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.
Felix Klein
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In science nothing capable of proof ought to be accepted without proof.
Richard Dedekind
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I wonder what an astronomy would look like which has been rigorously demonstrated in every respect. It seems as if one can get to the truth only through a series of hypotheses, and that one has to reject each previous one to espouse the next and to abandon it again.
Johann Heinrich Lambert
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This skipping is another important point. It should be done whenever a proof seems too hard or whenever a theorem or a whole paragraph does not appeal to the reader. In most cases he will be able to go on and later he may return to the parts which he skipped.
Emil Artin
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One cannot guess the real difficulties of a problem before having solved it.
Carl Ludwig Siegel
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The oxygen atom has the shape of a ring, and the sulphur atom, the shape of a clot.
Ferdinand von Lindemann
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The recognition of the fact that infinite series fall into two classes (according to whether the limit is independent of the ordering of the terms or not) constitutes a turning-point in the conceptualization of the infinite in mathematics.
Bernhard Riemann
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