In place of the actual objects which we see and feel, the mathematician substitutes imaginary objects, only partially resembling those represented, but so devised that the discrepancies are not of an amount to alter seriously the character of the solution.


The Principles of Science: A Treatise on Logic and Scientific Method, Book IV, Chapter XXI (p. 458), Macmillan & Co Ltd. 1877


In place of the actual objects which we see and feel, the mathematician substitutes imaginary objects, only partially resembling those represented,...

In place of the actual objects which we see and feel, the mathematician substitutes imaginary objects, only partially resembling those represented,...

In place of the actual objects which we see and feel, the mathematician substitutes imaginary objects, only partially resembling those represented,...

In place of the actual objects which we see and feel, the mathematician substitutes imaginary objects, only partially resembling those represented,...