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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 Linear Associative Algebra (1882)

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More quotes by Benjamin Peirce

Mathematics is the science which draws necessary conclusions.

Linear Associative Algebra (1882)

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.

Symbols are essential to comprehensive argument.

On the Uses and Transformations of Linear Algebra (1875)

When the formulas admit of intelligible interpretation, they are accessions to knowledge; but independently of their interpretation they are invaluable as symbolical expressions of thought.

On the Uses and Transformations of Linear Algebra (1875)

Mathematics, under this definition, belongs to every enquiry, moral as well as physical.

Linear Associative Algebra (1882)

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