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Infinity in Classical Indian Mathematics

This work by Professor Avinash Sathaye from the University of Kentucky delves into the types of infinity within classical Indian mathematics. It covers Real infinity related to growing real numbers, Ordinal infinity regarding higher counts examined by Jain mathematicians, and Cardinal infinity focused on comparing the sizes of sets. The discussion includes modern Cantor Theory, key definitions, handling exceptions, and specific problems culminating in final equations, enriching the understanding of mathematical concepts of infinity.

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Infinity in Classical Indian Mathematics

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  1. Infinity in Classical Indian Mathematics By Avinash Sathaye Professor of Mathematics University of Kentucky sathaye@uky.edu

  2. Types of Infinity • Real – reached by growing real numbers. • Ordinal – reached by higher and higher counts Jain mathematicians Investigated this. • Cardinal – reached by measuring sizes of sets by comparing with each other. The modern Cantor Theory.

  3. Basic Definitions

  4. Definitions Continued

  5. How to handle exceptions

  6. The Khahara

  7. This means

  8. The Main Definition

  9. More Properties

  10. The First Problem

  11. Problem 1 Continued

  12. Problem 2

  13. Problem 2 Continued

  14. Problem 3

  15. Problem 3 Continued.

  16. Final Equations.

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