Logic - Couverture souple

Bain, Alexander

 
9780766196100: Logic

Synopsis

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Présentation de l'éditeur

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Mathematics is the best example of a Formal Deductive Science,. 199 2.Mathematic treats of Quantity in the abstract, so far as definitely expressible,. ibt Notions of Mathematics.3. Enumeration of the principal Notions, with a view to the propositions,. 200 Propositions of Mathematics.4. Logically viewed these are of the nature oipropria ;the predicate is deducible from the subject,. 202 Definition in Mathematics.5. Certain of the Notions are Ultimate; the rest are definable by derivation. Ultimate notions of Arithmetic; of Geometry,. 203 Axioms of Mathematics.6. These should be(1) Eeal Propositions; (2)underived within the science,. Euclids axioms tested. Postulates,. 207 Divisions of Matliematics :Arithmetic. 7.Groundwork and Propositions of Arithmetic,. 212 Algebra. 8.Extension of Arithmetic by using symbols of numbers and signs of operation,. 213 10.Algebra shows the equivalence of different operations, and renders them mutually resolvible,. 214 11.The signs and rules of operation have to be adjusted by being verified,. ib. 12.The highest form of the Algebraical problem is the Resolution Of Equations,. 215Geometry. 13.Order of topics. Euclids proving the fourth proposition is a mistake; it should have been assumed on the basis of induction,. 216 14.Ends served, in elementary Geometry, by the reference to Diagrams,.

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Tags: law cause fact method force effect instance definition character form mind circumstance proposition heat nature notion agreement science induction power

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