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While traveling in Janurary of 2019, Prof. Palmquist had an epiphany

"Would it be possible to engineer a mathematical system to exist such that all arithmetic was fully defined and included all finite and nonfinite numbers?"

image of hands typing on a laptop, surrounded by overlays of mathematical equations

What resulted was an incredible mathematical journey through the foundations of mathematics and often intense creativity followed by innovation. There were many twists and turns along the way. In particular, one system of numbers was partially developed which included an infinite number of unique zeroes, where 0≠0.≠0.00, and so forth. However, the system was abandoned due to the complexity in solving simple arithmetic.

Overall, it has been a fantastic and interesting ride with numerous challenges and obstacles, but prayers and friends kept me on track to achieve the goal. What resulted is a number system design for all STEM fields where applied mathematics is needed. This system of numbers is similar but more robust than the hyperreals, which is an extension of the reals. Though the adventure has been fruitful thus far, there is still much more to accomplish and achieve.

I would like to thank the faculty and administrators at Western Kentucky University as well as the university donors and the infinity team, my group of engineering student researchers over the years, for their support of this important work. If omnifinite numbers and their impact on mathematics and applied areas of study interests you, please feel free to contact me at Shanempictech@gmail.com.

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