Bertrand Russell: History of philosophy, ethics, education, religion and politicsA. D. Irvine This set offers the reader a way into the critical writings on Russell's work on Logic, Mathematics, Language, Knowledge, the World, History of Philosophy, Ethics, Education, Religion and Politics, and on his life and influence. |
Contents
The Russell Paradox Gottlob Frege | 1 |
The Foundations of Mathematics Edwin Bidwell Wilson | 4 |
What is Mathematics? James Byrnie Shaw | 21 |
An Axiom in Symbolic Logic C E Van Horn | 43 |
Mathematical Logic F P Ramsey | 54 |
The Theory of Types Paul Weiss | 67 |
On the Theory of Types W V Quine | 78 |
Comparison of Russells Resolution of the Semantical Antinomies with That of Tarski Alonzo Church | 96 |
Gödels Incompleteness Theorems and Logicism Geoffrey Hellman | 154 |
Epistemic Logicism and Russells Regressive Method A D Irvine | 172 |
Logic in Russells Logicism Peter W Hylton | 196 |
Russells Reasons for Ramification Warren D Goldfarb | 232 |
Was the Axiom of Reducibility a Principle of Logic? Bernard Linsky | 250 |
The Advantages of Honest Toil over Theft George Boolos | 265 |
Russells NoClasses Theory of Classes Leonard Linsky | 285 |
New Evidence concerning Russells Substitutional Theory | 305 |
Russells Mathematical Logic Kurt Gödel | 113 |
The Logicist Foundations of Mathematics Rudolf Carnap | 135 |
Remarks on the Foundations of Mathematics II 114 | 147 |
Russell Gödel and Logicism Francisco A RodríguezConsuegra | 320 |
Mathematics and Logic Alonzo Church | 330 |
Other editions - View all
Bertrand Russell: History of philosophy, ethics, education, religion and ... A. D. Irvine Limited preview - 1998 |
Bertrand Russell: History of philosophy, ethics, education, religion and ... A. D. Irvine Limited preview - 1998 |
Bertrand Russell: History of philosophy, ethics, education, religion and ... A. D. Irvine No preview available - 1998 |
Common terms and phrases
abstract antinomy argument arithmetic assertion assumption axiom of choice axiom of infinity axiom of reducibility Bertrand calculus claim conception of logic consistent containing contradiction Dedekind infinite defined distinction entities epistemic epistemological example existence expression extensional fact false finite formal formula Frege geometry Gödel Hence heterological hierarchy impredicative definitions individuals inductive infinite intensional interpretation introduced Kant knowable knowledge language logical subjects logicist mathe Mathematical Logic matics means natural numbers notation notion objects occurrences paradoxes Peano Philosophy postulates premises primitive propositions Principia Mathematica proof properties propositional functions provability proved quantifiers Quine r-type ramified theory ramified type theory real numbers reason relation Reprinted restricted result Russell's conception Russell's logicism Russell's paradox Russellian seems semantical sense sentence set theory simple statement substitutional theory Symbolic Logic theorem theory of types things tion true truth truth-value type theory variables vicious circle principle Whitehead and Russell