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Ernst Mach Quotes: 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.
         

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.


Ernst Mach
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Other quotes of Ernst Mach


Thing, body, matter, are nothing apart from the combinations of the elements, - the colours, sounds, and so forth - nothing apart from their so-called attributes.

Thing, body, matter, are nothing apart from the combinations of the elements, - the colours, sounds, and so forth - nothing apart from their so-called attributes.



A colour is a physical object as soon as we consider its dependence, for instance, upon its luminous source, upon other colours, upon temperatures, upon spaces, and so forth.

A colour is a physical object as soon as we consider its dependence, for instance, upon its luminous source, upon other colours, upon temperatures, upon spaces, and so forth.



Strange as it may sound, the power of mathematics rests on its evasion of all unnecessary thought and on its wonderful saving of mental operations.

Strange as it may sound, the power of mathematics rests on its evasion of all unnecessary thought and on its wonderful saving of mental operations.



Science is the most complete presentment of facts with the least expenditure of thought

Science is the most complete presentment of facts with the least expenditure of thought



I can accept the theory of relativity as little as I can accept the existence of atoms and other such dogmas.

I can accept the theory of relativity as little as I can accept the existence of atoms and other such dogmas.



Man is pre-eminently endowed with the power of voluntarily and consciously determining his own point of view.

Man is pre-eminently endowed with the power of voluntarily and consciously determining his own point of view.



What Mach calls a thought experiment is of course not an experiment at all. At bottom it is a grammatical investigation.

What Mach calls a thought experiment is of course not an experiment at all. At bottom it is a grammatical investigation.



Many an article that I myself penned twenty years ago impresses me now as something quite foreign to myself.

Many an article that I myself penned twenty years ago impresses me now as something quite foreign to myself.



Science always has its origin in the adaptation of thought to some definite field of experience.

Science always has its origin in the adaptation of thought to some definite field of experience.



Bodies do not produce sensations, but complexes of elements (complexes of sensations) make up bodies.

Bodies do not produce sensations, but complexes of elements (complexes of sensations) make up bodies.





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Perhaps we have been guilty of some terminological inexactitudes.

Perhaps we have been guilty of some terminological inexactitudes.



Winning the 2007 Master's was a dream fulfilled culminating on Easter Sunday with my family was very special. You couldn't write it up any better.

Winning the 2007 Master's was a dream fulfilled culminating on Easter Sunday with my family was very special. You couldn't write it up any better.



In 30 minutes, at high noon, more than 200 civilians are killed. Zionism carries out a massacre in the city of Lydda.

In 30 minutes, at high noon, more than 200 civilians are killed. Zionism carries out a massacre in the city of Lydda.



I have to live with both my selves as best I may.

I have to live with both my selves as best I may.



I prefer a life in which we don't take ourselves too seriously.

I prefer a life in which we don't take ourselves too seriously.



Healthy attention is to improve what can be improved and to accept what we cannot improve.

Healthy attention is to improve what can be improved and to accept what we cannot improve.



Luce: You could have kept your promises. Daniel: I promised I'd stay.

Luce: You could have kept your promises. Daniel: I promised I'd stay.



We don't have to apologize for who we are

We don't have to apologize for who we are



I feel like everyone else in this country today. I am utterly devastated.

I feel like everyone else in this country today. I am utterly devastated.




Quote Description


This page presents the quote "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.". Author of this quote is Ernst Mach. This quote is about no problem, direct, may, problem, math, defined, whole, counting, mathematics,.