Use Logic to Divide by Zero!

Use epsilon totalisation of classical logic to generalise the multiplicative inverse of a non-zero number so that it is an inverse of all numbers.


BIBLIOGRAPHY

Anderson, J., & Bergstra, J. (2021). Review of Suppes 1957 Proposals For Division by Zero. Transmathematica. https://doi.org/10.36285/tm.53


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Timecodes
0:00 Introduction
1.50 Division
3.10 Zero to the Power Minus One
4.00 Uniqueness
7.00 Necessity
7.50 Division by Zero
8.40 Undefined
9.15 Unanalysed Symbol
11.10 Empty Symbol
11.45 Illustrations
16.20 Compilers
17.30 Epsilon Totalisation
18.20 Suppes-Ono
20.00 Bottom
20.35 Reciprocal
22.00 Transreal Arithmetic
22.30 Conclusion