Logic, Vol. 2 (Classic Reprint)

Excerpt from Logic, Vol. 2<br><br>Mathematics is the best example of a Formal Deductive Science,; Mathematic treats of Quantity in the abstract, so far as definitely expressible, Notions of Mathematics.; Enumeration of the principal Notions, with a view to the propositions, Propositions of Mathematics.; Logically viewed these are of the nature of propria; the predicate is deducible from the subject, Definition in Mathematics.; Certain of the Notions are Ultimate; the rest are definable by derivation. Ultimate notions of Arithmetic; of Geometry, Axioms of Mathematics.; These should be (1) Real Propositions; (2) underived within the science, Euclid's axioms tested. Postulates, Divisions of Mathematics :- Arithmetic.; Groundwork and Propositions of Arithmetic, Algebra.; Extension of Arithmetic by using symbols of numbers and signs of operation,; Algebra shows the equivalence of different operations, and renders them mutually resolvible,; The signs and rules of operation have to be adjusted by being verified,; The highest form of the Algebraical problem is the Resolution Of Equations,; Geometry.; Order of topics. Euclid's proving the fourth proposition is a mistake; it should have been assumed on the basis of induction,; Ends served, in elementary Geometry, by the reference to Diagrams,<br><br>About the Publisher<br><br>Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com<br><br>This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.