The developing science departs at the same time more and more from its original scope and purpose and threatens to sacrifice its earlier unity and split into diverse branches.
- Felix Klein
Purpose, Original, More, Branches
Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.
- Felix Klein
Mathematics, Been, Thus, Rigorous
The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.
- Felix Klein
Measure, Always, Equal, Mathematicians
Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.
- Felix Klein
Through, Everyone, Curve, Countless
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