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In Algebra, [likewise], the letters are symbols which, passed through a machinery of argument in accordance with given laws, are developed into symbolic results under the name of formulas. 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.

— Benjamin Peirce

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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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Quote text and notes from Wikiquote: Benjamin Peirce (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.