Infinity in Classical Indian Mathematics

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Presentation transcript:

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

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.

Basic Definitions

Definitions Continued

How to handle exceptions

The Khahara

This means

The Main Definition

More Properties

The First Problem

Problem 1 Continued

Problem 2

Problem 2 Continued

Problem 3

Problem 3 Continued.

Final Equations.