"Geometry can in no way be viewed... as a branch of mathematics, instead, geometry relates to something already given in nature, namely, space. I... realized that there must be a branch of mathematics which yields in a purely abstract way laws similar to those of geometry."

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Added on April 10, 2026
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Mathematics
Original Language: English

Sources

Hermann Grassmann, Die Lineale Ausdehnungslehre, ein neuer Zweig der Mathematik (1844) [The Theory of Linear Extension, a New Branch of Mathematics] as quoted by , Is God a Mathematician? (2009)