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I have... set myself the task of constructing the notion of a multiply extended magnitude out of general notions of magnitude.

— Bernhard Riemann On the Hypotheses which lie at the Bases of Geometry (1873)

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More quotes by Bernhard Riemann

Natural science is the attempt to comprehend nature by precise concepts.

Gesammelte Mathematische Werke (1876)

There remains only the assumption that the ponderable masses within the rigid earth-crust are supporters of the soul-life of the earth.

Gesammelte Mathematische Werke (1876)

Every entering mind-mass excites all related mind-masses and this excitation is the more powerful the more insignificant the diversity of their inner states (quality).

Gesammelte Mathematische Werke (1876)

Newton was far from the crude thought that explanation of phenomena could be attained by abstraction.

Gesammelte Mathematische Werke (1876)

With every simple act of thinking, something permanent, substantial, enters our soul.

Gesammelte Mathematische Werke (1876)

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