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By Alfred North Whitehead

Symbolic Reasoning allied to dull A lgebra. the manager examples of such structures are Hamilton sQ uaternions, Grassmann sC alculus of Extension and Boole sS ymbolic common sense. Such algebras have an intrinsic price for separate exact research; they are also valuable of a comparative learn, for the sake of the sunshine thereby thrown at the common conception of symbolic reasoning, and on algebraic symbolism particularly. The comparative examine unavoidably presupposes a few prior separate research, comparability being most unlikely with no wisdom. as a result after the overall ideas of the entire topic were mentioned in ebook I. of this quantity, the remainder books of the amount are dedicated to the separate examine of the Algebra of Symbolic good judgment, and of Grassmann sC alculus of Extension, and of the information taken with them. the assumption of a generalized belief of area has been made fashionable, within the trust that the houses and operations excited by it may be made to shape a uniform approach to interpretation of many of the algebras. hence it's was hoping during this paintings to convey the algebras either as structures of symbolism, and in addition as engines for the research of the chances of concept and reasoning attached with the summary basic suggestion of house. A ordinary mode of comparison.between the algebras is therefore instantly supplied by way of the team spirit of the subject-matters in their interpretation. The distinct comparability in their symbolic buildings has been adjourned to the second one quantity, within which it really is meant to accommodate Quaternions, Matrices, and the overall concept of Linear A lgebras. This comparative anatomy of the topic used to be originated via B. Peirce spaper on Linear Associative A lgebra, and has been carried ahead by means of more moderen investigations in Germany. Firat learn sooner than theN ational Academy of Soienoes in Washington, 1871, and repabliahed within the American magazine of M
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