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Benjamin Peirce Quotes

Mathematics is the science which draws necessary conclusions.

Mathematics is the science which draws necessary conclusions.

Benjamin Peirce
Math, Science, Definitions
"Linear Associative Algebra" (1870)

What is man? ... What a strange union of matter and mind! A machine for converting material into spiritual force.

Benjamin Peirce
Spiritual, Men, Mind
"The Early Years of the Saturday Club, 1855-1870". Book by Edward Waldo Emerson, 1918.

Gentlemen, that is surely true, it is absolutely paradoxical; we cannot understand it, and we don't know what it means. But we have proved it, and therefore we know it must be the truth.

Benjamin Peirce
Truth, Mean, Science
"Benjamin Peirce, 1809-1880 : Biographical Sketch and Bibliography". Book by R. C. Archibald, 1925.

Gentlemen, as we study the universe we see everywhere the most tremendous manifestations of force. In our own experience we know of but one source of force, namely will. How then can we help regarding the forces we see in nature as due to the will of some omnipresent, omnipotent being? Gentlemen, there must be a GOD.

Benjamin Peirce
God, Nature, Science

The object of geometry in all its measuring and computing, is to ascertain with exactness the plan of the great Geometer, to penetrate the veil of material forms, and disclose the thoughts which lie beneath them? When our researches are successful, and when a generous and heaven-eyed inspiration has elevated us above humanity, and raised us triumphantly into the very presence, as it were, of the divine intellect, how instantly and entirely are human pride and vanity repressed, and, by a single glance at the glories of the infinite mind, are we humbled to the dust.

Benjamin Peirce
Lying, Inspiration, Science

The branches of mathematics are as various as the sciences to which they belong, and each subject of physical enquiry has its appropriate mathematics. In every form of material manifestation, there is a corresponding form of human thought, so that the human mind is as wide in its range of thought as the physical universe in which it thinks.

Benjamin Peirce
Thinking, Mind, Enquiry
"Linear Associative Algebra" by Benjamin Peirce, (§ 2), 1882.

Of possible quadruple algebras the one that had seemed to him by far the most beautiful and remarkable was practically identical with quaternions, and that he thought it most interesting that a calculus which so strongly appealed to the human mind by its intrinsic beauty and symmetry should prove to be especially adapted to the study of natural phenomena. The mind of man and that of Nature's God must work in the same channels.

Benjamin Peirce
Beautiful, God, Nature
"The American Mathematical Monthly: The Official Journal of the Mathematical Association of America, Volume 32". Book published by The Association (p. 6), 1925.

There are many cases of these algebras which may obviously be combined into natural classes, but the consideration of this portion of the subject will be reserved to subsequent researches.

Benjamin Peirce
Class, Research, May
"Linear Associative Algebra" by Benjamin Peirce, (p. 119), 1882.

I presume that to the uninitiated the formulae will appear cold and cheerless; but let it be remembered that, like other mathematical formulae, they find their origin in the divine source of all geometry. Whether I shall have the satisfaction of taking part in their exposition, or whether that will remain for some more profound expositor, will be seen in the future.

Benjamin Peirce
Profound, Satisfaction, Cold
"Linear Associative Algebra" by Benjamin Peirce, (Preface), 1882.

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