By Susanne K. Langer
Now revised and corrected, the e-book permits you to commence with the easiest symbols and conventions and turn out with a impressive snatch of the Boole-Schroeder and Russell-Whitehead platforms. It covers the examine of varieties, necessities of logical constitution, generalization, sessions, and the relevant relatives between them, universe of sessions, the deductive process of sessions, the algebra of good judgment, abstraction and interpretation, calculus of propositions, the assumptions of Whitehead and Russell's Principia Mathematica, and logistics. Appendices hide symbolic common sense and the common sense of the syllogism, the development and use of truth-tables, and proofs of 2 theorems.
"One of the clearest and least difficult introductions to a subject matter that is greatly alive." — Mathematics Gazette.
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Extra info for An Introduction to Symbolic Logic
2. T erm s and D egree The elements which are connected by a relation are called its terms. Every relation must have terms in order to become visible to the understanding at all. A relation may be likened to the keystone of an arch, and its terms to the walls, which are combined by the keystone, and at the same time are its sole supports. , cannot stand alone, but must function in a complex of other words denoting elements. Different relations require different numbers of terms to support them.
What name would you give to the structure exemplified by (1) a string-quartet, (2) a group of bridge-players, (3) a “good-luck" clover? 6. g. different sciences) do they belong? 7. " CHAPTER II THE ESSENTIALS OF LOGICAL STRUCTURE i . R e l a t io n s a n d E l e m e n t s In the previous chapter, it was said that the logical form of a thing depends upon its structure, or the way it is put together; that is to say, upon the way its several parts are related to each other. Without adding or subtracting any of the factors in the composition of a thing, we may utterly change the character of that thing by changing the relations of the various factors to each other.
Name a construct whose elements are not physical parts. II.
An Introduction to Symbolic Logic by Susanne K. Langer