The mathematician who pursues his studies without clear views of this …

Ernst Mach
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The mathematician who pursues his studies without clear views of this matter, must often have the uncomfortable feeling that his paper and pencil surpass him in intelligence.
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Physics is experience, arranged in economical order. ✨ Ernst Mach, Thomas J. McCormack (2014). Popular Scientific Lectures, p.197, Cambridge University Press
It would not become physical science to see in its self created, changeable, economical tools, molecules and atoms, realities behind phenomena... The atom must remain a tool for representing phenomen … ▶
Science itself, therefore, may be regarded as a minimal problem, consisting of the completest possible presentment of facts with the least possible expenditure of thought. ✨ Ernst Mach (1893). The Sc … ▶
I can accept the theory of relativity as little as I can accept the existence of atoms and other such dogmas.
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.

The mathematician who pursues his studies without clear views of this matter, must often have the uncomfortable feeling that his paper and pencil surpass him in intelligence.

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