The Principles of Mathematics - Softcover

Russell, Bertrand

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9781230430911: The Principles of Mathematics

Softcover

ISBN 10: 1230430911 ISBN 13: 9781230430911

Publisher: TheClassics.us, 2013

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1903 edition. Excerpt: ... INDEX The references are to pages. References in black type are to passages where a technical term is defined or explained. Absolute, 226, 448 Abstraction, principle of, ix, 166, 219, 242, 285, 305, 314, 497, 519 Acceleration, 474, 483; absolute, 490, 491 Achilles and the tortoise, 350, 358 Action and Beaction, 483 Activity, 450 Addition, arithmetical, 118, 307; of indi- viduals, 71, 133-135; logical, 17, 21, 116; ordinal, 318; of quantities, 179, 180; relational, 182, 254i; of relations, 321; relative, 26, 387 n.; of vectors, 477 Adjectives, 20 n., 42 Aggregates, 67, 139, 442; and classes as one, 141; infinite, 143 Algebra, universal, 376 Aliorelative, 203 w., 320 n. All, 72, 105, 113, 305 Analysis, how far falsification, 141, 466; conceptual and real, 466 And, 67, 69, 71, 130 Angles, 205, 414; axioms of, 415, 416 Anharmonic ratio, 390, 391, 420 Antinomies, of infinity, 188, 190-193; Kant's, 259, 458-461 Any, 45, 46, 57, 105, 263, 305, 351; and kindred words, 55, 56, 59, 89, 91 Archimedes, axiom of, 181, 252, 254, 288, 332, 333, 337, 408 Area, 333, 417 Arithmetic, has no indemonstrables, 127; and progressions, 240; relation-, 321 Arrow, Zeno's argument of, 350 Assertion, 34-35, 48, 100, 502 ff. Assertions, 39, 44, 82, 83, 98, 106, 505 Associative law, 307 Assumptions, 503 Axioms, in Geometry, 373, 441 Being, 43, 49, 71# 446, 449 Bernouilli, 329 n. Bernstein, 306 n., 367 n. Bettazzi, 181 n., 185 Between, 200, 201, 205, 207, 214; three theories of, 208; is a relation between its terms? 210; and difference of sense, 211; indefinable? 213; in projective Geometry, 391, 393, 426; in descriptive Geometry, 393 Bolyai, 373 Bolzano, 70, 201 w., 307, 357 n. Boole, 10, 24, 376 Borel, 306 n., 367 n. Bradley, 41, 43 n 47, 90, 99, 161 n., 221, ..."

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About the Author:

Bertrand Russell (1872-1970) was born in England and educated at Trinity College, Cambridge. His long career established him as one of the most influential philosophers, mathematicians, and social reformers of the twentieth century.

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