"Mathematics may be defined as the economy of……" — Ernst Mach
"Mathematics may be defined as the economy of counting. There is no problem in the whole of mathematics which cannot be solved by direct counting."
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Ernst Mach
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34 Quotes by Ernst Mach
Ernst Mach has 34 quotes on this site.
A few more worth reading:
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Science itself, therefore, may be regarded as a minimal problem, consisting of the completest possible presentment of facts with the…
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Thought experiment is in any case a necessary precondition for physical experiment. Every experimenter and inventor must have the planned…
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It would not become physical science to see in its self created, changeable, economical tools, molecules and atoms, realities behind…
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I can accept the theory of relativity as little as I can accept the existence of atoms and other such…
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A colour is a physical object as soon as we consider its dependence, for instance, upon its luminous source, upon…
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In reality, the law always contains less than the fact itself, because it does not reproduce the fact as a…
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The presentations and conceptions of the average man of the world are formed and dominated, not by the full and…
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Archimedes constructing his circle pays with his life for his defective biological adaptation to immediate circumstances.
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The mathematician who pursues his studies without clear views of this matter, must often have the uncomfortable feeling that his…
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The plain man is familiar with blindness and deafness, and knows from his everyday experience that the look of things…
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Science always has its origin in the adaptation of thought to some definite field of experience.
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Similarly, many a young man, hearing for the first time of the refraction of stellar light, has thought that doubt…
See all 34 quotes by Ernst Mach »
More Counting Quotes
This quote is filed under Counting Quotes,
one of 384 quotes in that category. Here are a few more:
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When I love, I do it without counting. I give myself entirely. And each time, it is the grand love…
— Brigitte Bardot
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Numbers are the product of counting. Quantities are the product of measurement. This means that numbers can conceivably be accurate…
— Gregory Bateson
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The creator of the universe works in mysterious ways. But he uses a base ten counting system and likes round…
— Scott Adams
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The thing that motivates me is a very common form of motivation. And that is, with other folks counting on…
— Jeff Bezos
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For me, riding a two-wheeler bike was very risky. Counting the pedal strokes before turning a corner and learning to…
— Andrea Bocelli
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My philosophy is not a bean-counting, accounting 'look at this.' It is a philosophy that smaller government is better government,…
— John Bolton
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I'm not counting any chickens.
— Jeff Bridges
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Peter is an old friend. I'm heartbroken, but he's also a tough guy. I'm counting on him getting through this…
— Tom Brokaw
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Every day I wake up and I lay in bed counting my blessings and saying my prayers for how fortunate…
— Luke Bryan
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I am in love with Counting Crows. It is so manly and American.
— Margaret Cho
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A 2002 Oxford study showed counting sheep actually delays the onset of sleep. It's just too dull to stop us…
— A. J. Jacobs
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There are parents, siblings, teachers and friends, but counting on them to motivate you isn't fair. They've all got their…
— Shannon Miller
See all 384 Counting Quotes »