“In general the position as regards all such new calculi is this - That one cannot accomplish by them anything that could not be accomplished without them. However, the advantage is, that, provided such a calculus corresponds to the inmost nature of frequent needs, anyone who masters it thoroughly is able - without the unconscious inspiration of genius which no one can command - to solve the respective problems, yea to solve them mechanically in complicated cases in which, without such aid, even genius becomes powerless. Such is the case with the invention of general algebra, with the differential calculus, and in a more limited region with Lagrange's calculus of variations, with my calculus of congruences, and with Mobius's calculus. Such conceptions unite, as it were, into an organic whole countless problems which otherwise would remain isolated and require for their separate solution more or less application of inventive genius.”

— Carl Friedrich Gauss

As quoted in Gauss, Werke, Bd. 8, page 298
As quoted in Memorabilia Mathematica (or The Philomath's Quotation-Book) (1914) by Robert Edouard Moritz, quotation #1215
As quoted in The First Systems of Weighted Differential and Integral Calculus (1980) by Jane Grossman, Michael Grossman, and Robert Katz, page ii

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Carl Friedrich Gauss 50

German mathematician and physical scientist 1777–1855

Mozi (-470–-391 BC) Chinese political philosopher and religious reformer of the Warring States period

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“We cannot solve life's problems except by solving them.”

M. Scott Peck (1936–2005) American psychiatrist

Source: The Road Less Traveled: A New Psychology of Love, Traditional Values, and Spiritual Growth

“Even if without the Scott's proverbial thrift, the difficulty of solving differential equations is an incentive to using them parsimoniously.”

George Pólya (1887–1985) Hungarian mathematician

Mathematical Methods in Science (1977)
Context: Even if without the Scott's proverbial thrift, the difficulty of solving differential equations is an incentive to using them parsimoniously. Happily here is a commodity of which a little may be made to go a long way.... the equation of small oscillations of a pendulum also holds for other vibrational phenomena. In investigating swinging pendulums we were, albeit unwittingly, also investigating vibrating tuning forks.<!--p.224

“In the basic questions, one have to be naive. And I think that the problems of the world and of humanity cannot be solved without idealism. However, I also believe that one should be realistic and pragmatic at the same time.”

Helmut Schmidt (1918–2015) Chancellor of West Germany 1974-1982

Weggefährten - Erinnerungen und Reflexionen, Siedler-Verlag Berlin 1996, S. 54, ISBN 9783442755158, ISBN 978-3442755158

“There is no problem in all mathematics that cannot be solved by direct counting. But with the present implements of mathematics many operations can be performed in a few minutes which without mathematical methods would take a lifetime.”

Ernst Mach (1838–1916) Austrian physicist and university educator

Source: 19th century, Popular Scientific Lectures [McCormack] (Chicago, 1898), p. 197; On mathematics and counting.

“Because we are the cause of our environmental problems, we are the ones in control of them, and we can choose or not choose to stop causing them and start solving them. The future is up for grabs, lying in our own hands. We don’t need new technologies to solve our problems; while new technologies can make some contribution, for the most part we "just" need the political will to apply solutions already available.”

Jared Diamond book Collapse: How Societies Choose to Fail or Succeed

Source: Collapse: How Societies Choose to Fail or Succeed (2005), Chapter "The world as a polder: what does it all mean to us today?", section "Reasons for hope" (Penguin Books, 2011, pages 521-522, ISBN 978-0-241-95868-1.