Nathan S Brown
SIMPLE INTRODUCTION TO MUNBER THEORY
The investigation of munbers began during the first term of my frosh year at Caltech, when, in lecturing, one of the TAs [I think it was Tihomir] rightfully observed that two can't equal three, or something of the sort. This started me thinking. What if there was an object that could equal more than one number at a time? I jotted down in my notebook: MUNBER: multiple-value number. From then on, I spread my idea. Some found my idea strange, if not completely wacko. Others found it pointless: "Why can't you just use sets?" But there were a select few who believed.
Three people especially are owed a great debt for catalyzing the formation of this book. Whilst waiting for dessert, Clara Graham, Gray Rybka, Elizabeth Thomas, and I became engaged in a discussion about munbers, which had been sitting in the midst of my brain all this time. We began to formulate a few of their properties, until someone said, "You should write this down."
So here is the result. Endless thanks go out to the central members of the R&D team. Clara, Gray, and Liz have all provided various inputs, several of which went directly into this book. Brock Beauchamp, Jamal Rorie, and Sam Yeager are among the other contributors to this theory of munbers. Another influence has been Tom M Apostol, mathematics professor here at Caltech. Although I have yet to introduce him to munbers, his Calculus books provided some inspiration for this work.
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