Hermann Weyl ✓

(1885–1955) mathematician Germany

22 quotes in 451 categories

Hermann Weyl (1885–1955) was a Germany mathematician, known for Weyl group|Weyl tensor|Weyl algebra|Weyl's postulate|Wigner–Weyl transform|Peter–Weyl theorem|Weyl's inequality|equidistribution theorem|Weyl curvature hypothesis|De Donder–Weyl theory|Weyl's lemma|Weyl equation|Weyl transformation|Weyl law|Weyl–Brauer matrices|Weyl scalar|Weyl chamber|Weyl–Schouten theorem|Weyl distance function|Weyl metrics|Weyl's theorem|Weyl–von Neumann theorem|Weyl–Lewis–Papapetrou coordinates|Weyl sequence|Weyl semimetal|Weyl Point|Weyl–Kac character formula.

All Hermann Weyl Quotes

• Before you generalize, formalize, and axiomatize there must be mathematical substance. Formalize
• Besides language and music, it [mathematics] is one of the primary manifestations of the free creative power of the human mind, and it is the… Abilities
• You can not apply mathematics as long as words still becloud reality. Apply
• Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind. Besides
• Logic is the hygiene the mathematician practices to keep his ideas healthy and strong. Healthy
• One may say that mathematics talks about the things which are of no concern to men. Mathematics has the inhuman quality of starlight - brilliant,… Brilliant
• Without the concepts, methods and results found and developed by previous generations right down to Greek antiquity one cannot understand either the aims or achievements… Achievement
• We are not very pleased when we are forced to accept a mathematical truth by virtue of a complicated chain of formal conclusions and computations,… Accept
• Mathematics has the inhuman quality of starlight, brilliant and sharp, but cold. Brilliant
• It is impossible to discuss realism in logic without drawing in the empirical sciences... A truly realistic mathematics should be conceived, in line with physics,… Adopt
• A modern mathematical proof is not very different from a modern machine, or a modern test setup: the simple fundamental principles are hidden and almost… Almost Invisible
• ... numbers have neither substance, nor meaning, nor qualities. They are nothing but marks, and all that is in them we have put into them… All
• Our federal income tax law defines the tax y to be paid in terms of the income x; it does so in a clumsy enough… Archeologist
• Mathematics is not the rigid and rigidity-producing schema that the layman thinks it is; rather, in it we find ourselves at that meeting point of… Constraint
• The introduction of numbers as coordinates is an act of violence. Act
• Not only in geometry, but to a still more astonishing degree in physics, has it become more and more evident that as soon as we… Aesthetic
• The question for the ultimate foundations and the ultimate meaning of mathematics remains open; we do not know in which direction it will find its… Activity
• God exists because arithmetic is consistent - the Devil exists because we can't prove it! Arithmetic
• But it seems an irony of creation that man's mind knows how to handle things the better the farther removed they are from the center… Better
• Our mathematics of the last few decades has wallowed in generalities and formalizations. Decades
• Symmetry, as wide or as narrow as you may define its meaning, is one idea by which man through the ages has tried to comprehend… Age

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