“Mathematics is the science which draws necessary conclusions.”

—  Benjamin Peirce , Linear Associative Algebra

§ 1.
Linear Associative Algebra (1882)

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Benjamin Peirce 24
American mathematician 1809–1880

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§ 2.
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Context: 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.

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