Maths Whitepapers

In 2021, I started thinking about mathematical assumptions from first principles. I came to some less than conventional conclusions and so wrote 3 papers to describe my findings.

 

I have hesitated from making them public until now for two reasons.

  1. I was uncertain they had validity.
  2. If valid, I wanted to protect attribution

 

I have recently had the opportunity to discuss these concepts with a senior mathematician and so I publish them here to make available to the world and to protect attribution:

 

MixedBases

10 / 3 = 3.3333

This gives an imperfect answer until we change the base to something like base 12:

10/3 = 3.4 (in base 12)

 

DivisionByZero

10 / 0 = 10

If you divide anything by zero (nothing), then nothing happens. Zero is a special case and different to infinity which classical division produces.

 

ClarifyingBases

This is more of an exercise in notational hygiene as a result of adopting mixed bases.