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Mathematics is the science which draws necessary conclusions.

Benjamin Peirce

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

Mean Paradoxical Proved Science Truth
Mathematics is the science which draws necessary conclusions.
BENJAMIN PEIRCE

Conclusion Definitions Math Science
What is man? … What a strange union of matter and mind! A machine for converting material into spiritual force.
BENJAMIN PEIRCE

Material Men Mind Spiritual
The branches of mathematics are as various as the sciences to which they belong, and each subject of physical enquiry has its appropriate mathematics.
BENJAMIN PEIRCE

Appropriate Enquiry Mind Thinking
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.
BENJAMIN PEIRCE

God Manifestation Nature Science
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.
BENJAMIN PEIRCE

Cold Origin Profound Satisfaction
The mind of man and that of Nature’s God must work in the same channels.
BENJAMIN PEIRCE

Channel Man Mind Nature Same Work
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 May Research Subject
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

Glance Human Infinite Intelect Mind Pride Singly Vanity
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

Exposition Future Profound Remain Satisfaction Talking
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?
BENJAMIN PEIRCE

Exactness Geometer Inspiration Lying Science
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.
BENJAMIN PEIRCE

Elevated Presence Research Successful Triumpanthy
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

Force God Omnipotent Regards

Mathematics is the science which draws necessary conclusions.

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Mathematics is the science which draws necessary conclusions.

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