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Published on: June 2, 2013
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On Logical and Scientific Strength
Luca Incurvati1, Carlo Nicolai2
1Department of Philosophy and Institute for Logic, Language and Computation, University of Amsterdam, Postbus 94201, 1090 GE Amsterdam, The Netherlands.
Erkenntnis
|September 15, 2025
Summary
This study clarifies logical and scientific strength in epistemology, proposing a new interpretability-based definition for logical strength and viewing scientific strength as a specific instance. This framework aids in comparing logical systems and mathematical theories.
Area of Science:
- Epistemology of logic
- Philosophy of science
Background:
- The concept of 'strength' is central to current discussions on abductivism in the epistemology of logic.
- Existing characterizations of logical and scientific strength have limitations.
Purpose of the Study:
- To distinguish between logical and scientific strength.
- To propose a novel framework for understanding logical strength in terms of interpretability.
- To apply these concepts to compare logical systems and mathematical theories.
Main Methods:
- Distinguishing logical and scientific strength based on existing literature.
- Defining logical strength via interpretability.
- Analyzing scientific strength as a specific case of logical strength.
- Applying the refined notions to comparative analysis.
Main Results:
- A clear distinction is drawn between logical and scientific strength.
- Logical strength is redefined using interpretability.
- Scientific strength is established as a specialized form of logical strength.
- The framework is successfully applied to compare logics and mathematical theories.
Conclusions:
- The proposed interpretability-based definition offers a more robust understanding of logical strength.
- This framework provides novel insights into the relationship between logical systems and mathematical theories.
- The study advances the epistemological analysis of logical and scientific strength.
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