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.


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

Ernst Mach Quotes

There is no problem in all mathematics that cannot be solved by direct counting. But with the present implements of mathematics many operations can...

There is no problem in all mathematics that cannot be solved by direct counting. But with the present implements of mathematics many operations can...

There is no problem in all mathematics that cannot be solved by direct counting. But with the present implements of mathematics many operations can...

There is no problem in all mathematics that cannot be solved by direct counting. But with the present implements of mathematics many operations can...