Arithmetic is the science of the Evaluation of Functions, Algebra is the science of the Transformation of Functions. - George Holmes Howison

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

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About George Holmes Howison

George Holmes Howison (29 November 1834 – 31 December 1916) was an American philosopher, who established the philosophy department at the University of California, Berkeley and held the position there of Mills Professor of Intellectual and Moral Philosophy and Civil Polity.He also founded the Philosophical Union, one of the oldest philosophical organizations in the United States. Howison’s philosophy is set forth almost entirely in his volume entitled, The Limits of Evolution, and other essays, illustrating the metaphysical theory of personal idealism. Scrutinizing the idea of evolution that had come to the fore, he proved not only that no Person can be wholly “the product of ‘continuous creation’”, evolution, but went on also to show that, rooted in the very same (a priori) reason, fulfilled philosophy necessarily ends in the “Vision Beatific”, “that universal circle of spirits which, since the time of the stoics, has so pertinently been called the City of God”. Friends and former students of Howison established the Howison Lectures in Philosophy in 1919. Over the years, the lecture series has included talks by distinguished philosophers such as Michel Foucault and Noam Chomsky.

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Additional quotes by George Holmes Howison

The hope of the real and lasting improvement of this present world by our moral endeavour. With lack of this, there would be moral discouragement, and the chief use of this life would be merely to find the means of departing out of it; righteousness could only be "in heaven," — in "the hereafter." This added essential to moral effort Personal Idealism supplies, with assurance of hope, in its indivisible union of the eternal and the temporal worlds; a union in which the eternal is the unitary and governing whole, and the temporal the potentially governed part.

The question whether we have not some knowledge independent of any and all experience — whether there must not, unavoidably, be some knowledge a priori, some knowledge which we come at simply by virtue of our nature — is really the paramount question, around which the whole conflict in philosophy concentrates, and on the decision of which the settlement of every other question hangs. To cast the career of a philosophy upon a negative answer to it, as if this were a matter of course, — which the English school from Hobbes onward has continually done, — is to proceed not only upon a petitio, but upon a delusion regarding the security of the road.

Our result thus far is, that determinism and freedom, when justly thought out, are in idea entirely reconcilable. Determinism proves to need no fatalistic meaning, but to be, possibly enough, simply the definite order characteristic of intelligence; while so far from freedom's being indeterminism, chance, or caprice, these are seen to be incompatible with it, and freedom proves to be, like determinism, the spontaneous definiteness of active intelligence.

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