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Physical Sciences › Mathematics › Theoretical Computer Science
Showing Mathematical Flies the Way Out of Foundational Bottles: The Later Wittgenstein as a Forerunner of Lakatos and the Philosophy of Mathematical Practice
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Paper Summary
Conflicts of Interest
Identified Weaknesses
Rating Explanation
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Paper Summary
Paperzilla title
Wittgenstein: The OG Maverick of Math Philosophy?
This paper argues that Wittgenstein, not Lakatos, was the true forerunner of the philosophy of mathematical practice. It highlights Wittgenstein's concepts of "rule bending" and "mathematics as rules of description" as key contributions that challenge traditional views of mathematical foundations and emphasize the importance of studying actual mathematical practices.
Possible Conflicts of Interest
None identified
Identified Weaknesses
Limited Scope of Comparison
The analysis primarily focuses on comparing Lakatos and Wittgenstein's views, potentially overlooking other relevant perspectives within the philosophy of mathematical practice.
Lack of Concrete Examples
While the paper suggests areas for further exploration, it doesn't offer concrete examples of how Wittgenstein's ideas could be applied to specific cases in mathematical practice.
Lack of Empirical Basis
The paper heavily relies on textual analysis and interpretation, lacking empirical evidence or engagement with actual mathematical practices.
Rating Explanation
The paper presents a novel and insightful comparison between Lakatos and Wittgenstein's philosophies of mathematics, highlighting Wittgenstein's overlooked contributions to the philosophy of mathematical practice. It effectively challenges the established narrative and opens up new avenues for research. However, the limited scope of comparison, lack of concrete examples, and reliance on textual analysis are notable limitations.
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Original Title:
Showing Mathematical Flies the Way Out of Foundational Bottles: The Later Wittgenstein as a Forerunner of Lakatos and the Philosophy of Mathematical Practice
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July 14, 2025 at 10:44 AM
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