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Expressive Means and Mathematical Conceptualization I

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If you have a question about this talk, please contact Zach McKenzie.

Case studies bring out striking contributions of shifting among expressive strategies while treating a given topic mathematically. Mathematics shapes special-purpose contents, by the expressive means it deploys (and avoids) in distinctive contexts (modes) especially suited to certain aspects of problems. The intellectual power of mathematics resides not only in rigorous proof but also in coordinating suitable modes to overall purposes.

The first talk will present the general philosophical picture, with elementary examples. The second talk will consider mathematically more advanced examples such as group representation theory and algebraic number theory.

This talk is part of the Set Theory Seminar series.

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