Book contents
- The Cambridge Companion to Ancient Logic
- Other Volumes in the Series of Cambridge Companions
- The Cambridge Companion to Ancient Logic
- Copyright page
- Contents
- Contributors
- Introduction
- I The Development of Logic in Antiquity
- II Key Themes
- 5 Truth as a Logical Property and the Laws of Being True
- 6 Definition
- 7 Terms and Propositions
- 8 Validity and Syllogism
- 9 Demonstration
- 10 Modalities and Modal Logic
- 11 Fallacies and Paradoxes
- 12 Logic in Ancient Rhetoric
- 13 Ancient Logic and Ancient Mathematics
- III The Legacy of Ancient Logic
- Bibliography
- Abbreviations
- Index of Passages
- General Index
- Other Volumes in the Series of Cambridge Companions
9 - Demonstration
from II - Key Themes
Published online by Cambridge University Press: 29 April 2023
- The Cambridge Companion to Ancient Logic
- Other Volumes in the Series of Cambridge Companions
- The Cambridge Companion to Ancient Logic
- Copyright page
- Contents
- Contributors
- Introduction
- I The Development of Logic in Antiquity
- II Key Themes
- 5 Truth as a Logical Property and the Laws of Being True
- 6 Definition
- 7 Terms and Propositions
- 8 Validity and Syllogism
- 9 Demonstration
- 10 Modalities and Modal Logic
- 11 Fallacies and Paradoxes
- 12 Logic in Ancient Rhetoric
- 13 Ancient Logic and Ancient Mathematics
- III The Legacy of Ancient Logic
- Bibliography
- Abbreviations
- Index of Passages
- General Index
- Other Volumes in the Series of Cambridge Companions
Summary
The topic of demonstration lies at the intersection of logic and epistemology. It is motivated by the following question: what features must an argument possess to be suitable for providing us with knowledge? A first, obvious thought is that it ought to be valid and to have true premises. But some ancient philosophers came to the view that this is not yet sufficient for an argument to grant knowledge of the truth of its conclusion; there are further requirements, concerning the epistemic status of its premises and the relations they bear towards its conclusion.
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- The Cambridge Companion to Ancient Logic , pp. 199 - 215Publisher: Cambridge University PressPrint publication year: 2023
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