- 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

# Truth-operations

# Truth-operations

- Chapter:
- (p.165) Chapter 18 Truth-operations
- Source:
- Wittgenstein's Notes on Logic
- Author(s):
### Michael Potter (Contributor Webpage)

- Publisher:
- Oxford University Press

From a single proposition *p* we form its negation not-*p*. From two propositions *p* and *q* we form various further propositions, e.g., *p* or *q*, *p* and *q*, etc.; similarly (though less often) with three or more propositions. For each such method of forming propositions it is common to speak of a certain truth-function as corresponding to it. On the one hand, there is a function which takes senses of propositions as inputs and returns the sense of a proposition as output. On the other hand, there is a truth-function, i.e., a function taking some finite number of truth-values as arguments and giving a single truth-value as value, which is representable by a truth-table or truth-diagram. This chapter discusses the relationship between the two.

*Keywords:*
truth-table, truth-function, propositions, truth-diagram

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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