George Holmes Howison

Arithmetic is the science of the Evaluation of Functions, Algebra is the science of the Transformation of Functions.

— George Holmes Howison

Mathematics is that form of intelligence in which we bring the objects of the phenomenal world under the control of the conception of quantity. [Provisional definition.]

— George Holmes Howison

Mathematics is the science of the functional laws and transformations which enable us to convert figured extension and rated motion into number.—Howison, G. H.

— George Holmes Howison

And the most depressing sign about [ Josiah Royce's ] thinking is that he seems perfectly aware how this makes no provision either for immortality or for real freedom, and yet he appears to have no uneasiness under it, but to contemplate this ghastly destiny of ours with a complacency even savoring of self-satisfaction.

— George Holmes Howison