- Title Pages
- Epigraph
- Preface
- Introduction
- Chapter 1 Finding a problem
- Chapter 2 First steps
- Chapter 3 Matter
- Chapter 4 Analysis
- Chapter 5 The fundamental thought
- Chapter 6 The symbolic turn
- Chapter 7 Simplicity
- Chapter 8 Unity
- Chapter 9 Fregean propositions
- Chapter 10 Assertion
- Chapter 11 Complex and fact
- Chapter 12 Forms
- Chapter 13 Russell's theory of judgment
- Chapter 14 Meaning
- Chapter 15 Metaphysics
- Chapter 16 Sense
- Chapter 17 Truth-functions
- Chapter 18 Truth-operations
- Chapter 19 Molecular propositions
- Chapter 20 Generality
- Chapter 21 Resolving the paradoxes
- Chapter 22 Typical ambiguity
- Chapter 23 Identity
- Chapter 24 Sign and symbol
- Chapter 25 Wittgenstein's theory of judgment
- Chapter 26 The picture theory
- Chapter 27 Tractarian objects
- Chapter 28 Philosophy
- Chapter 29 Themes
- Appendix A: History of the text
- [UNTITLED]
- Appendix B: The Notes on Logic
- [UNTITLED]
- Citations
- Index
- Bibliography
Resolving the paradoxes
Resolving the paradoxes
- Chapter:
- (p.184) Chapter 21 Resolving the paradoxes
- Source:
- Wittgenstein's Notes on Logic
- Author(s):
Michael Potter (Contributor Webpage)
- Publisher:
- Oxford University Press
The discussion of Wittgenstein's account of quantification in Chapter 20 left unaddressed what sort of theory of types it commits us to. To answer this question we need to look in more detail at the motivation for believing in logical types at all. That motivation derives from Russell's paradox, the problem which had originally attracted Wittgenstein's notice back in 1909. This chapter discusses Russell's theory of types, Wittgenstein's vicious circle principle, types as classes of propositions, types and molecular propositions, types and generality, uniting generality and truth-functions, the general form of proposition, and unsayability.
Keywords: Wittgenstein, Russell, theory of types, vicious circle principle, propositions, generality, truth-functions
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- Title Pages
- Epigraph
- Preface
- Introduction
- Chapter 1 Finding a problem
- Chapter 2 First steps
- Chapter 3 Matter
- Chapter 4 Analysis
- Chapter 5 The fundamental thought
- Chapter 6 The symbolic turn
- Chapter 7 Simplicity
- Chapter 8 Unity
- Chapter 9 Fregean propositions
- Chapter 10 Assertion
- Chapter 11 Complex and fact
- Chapter 12 Forms
- Chapter 13 Russell's theory of judgment
- Chapter 14 Meaning
- Chapter 15 Metaphysics
- Chapter 16 Sense
- Chapter 17 Truth-functions
- Chapter 18 Truth-operations
- Chapter 19 Molecular propositions
- Chapter 20 Generality
- Chapter 21 Resolving the paradoxes
- Chapter 22 Typical ambiguity
- Chapter 23 Identity
- Chapter 24 Sign and symbol
- Chapter 25 Wittgenstein's theory of judgment
- Chapter 26 The picture theory
- Chapter 27 Tractarian objects
- Chapter 28 Philosophy
- Chapter 29 Themes
- Appendix A: History of the text
- [UNTITLED]
- Appendix B: The Notes on Logic
- [UNTITLED]
- Citations
- Index
- Bibliography