Wittgenstein’s Apprenticeship with Russell

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Half-title Title Copyright Dedication Contents Preface 1 Rereading Russell and Wittgenstein Two dogmas of Russellian interpretation Logical fictions of Russell 2 Logical atomism Logical atomism as a research program The logical independence of the facts that are truth-makers Acquaintance with logical objects Russell’s paralysis Retreat from Pythagoras 3 My fundamental idea Showing as radical Russellianism Ideal versus ordinary language Sub specie aeternitatis Russell’s rejection of Showing Kicking away the ladder 4 Logic as if tautologous Logic as if decidable Scaffolding Wittgenstein’s N-operator Quantification and the N-operator 5 Tractarian logicism Ramified types as scaffolding in Russell and Wittgenstein Equations versus tautologies Preceding Immediately Strong Ancestral Weak Ancestral Natural Number (finite cardinal) Counting Cardinals Addition Multiplication Numbers as exponents of operations 6 Principia’s second edition Extensionality and neutral monism The oracle on Reducibility Slipshod notations? Ramsey’s extensional functions 7 Logic as the essence of philosophy Ontology as meaningless Ontology as structured variables Carnap versus Quine on ontology Return to Pythagoras Appendix A: Exclusive quantifiers Axiomatization Ramsey/Hintikka translations Infinity as scaffolding Appendix B: Modality in the Tractatus Russell’s analysis of logical necessity as universal truth Logical necessity as logical truth Tractarian combinatorialism Bibliography A. WORKS BY RUSSELL B. WORKS BY WITTGENSTEIN C. BOOKS AND ARTICLES CITED Index