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.

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.]

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

“And there will be, and will ever remain, an impassable gulf between the religious consciousness and the logical, unless the logical consciousness reaches up to embrace the religious, and learns to state the absolute Is in terms of the …

“For life eternal is life germinating in that true and only Inclusive Reason, the supreme consciousness of the reality of the City of God, — the Ideal that seats the central reality of each human being in an eternal circle of Persons, and …

“This light within may indeed prove to be the witness of God in my being, but it is not God himself.”

“Under the suffocating burden of the old things that should have passed away, the Christian consciousness forgets, at least in part, that all things are become new, and that man is risen from the dead.”