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**ONE **is the only number that’s the same in binary, base 10 and Roman Numerals.

It’s the wheels on a **uni**cycle, the rails on a **mono**rail and the players when you go **solo**.

One is the first **odd **number, the first **triangular, square, pentagonal **and **hexagonal **number, and the first **tetrahedral**, **cube** and **Fibonacci **number.

It’s the only whole number whose letters O-N-E are in reverse **alphabetical order** (but which is the only whole number whose letters are in forward alphabetical order?).

One is the only positive **integer **(whole number) which is neither **prime **(exactly two factors: one and itself) nor **composite **(more than two factors).

**NORMAL ARITHMETIC:
**The number one is used to make up all the other integers:

1=1

2=1+1

3=1+1+1 etc

**AXIOMATIC SET THEORY (von Neumann ordinals) :**

The number zero is used to make up all the other integers:

0=∅={} (the empty set)

1= {Ø}={0}

2={Ø, {Ø}}={0,{0}}

3={Ø,{Ø},{Ø, {Ø}}}={0,{0},{0,{0}}} etc

Axiomatic set theory started in the early 1900’s as an attempt to place mathematics on a firm logical footing free of paradoxes. For further reading, search Wikipedia for Russell’s Paradox, Cantor’s theorem, cardinal numbers, ordinal numbers, put aside about a month of reading time and get ready for an incredible ride!

Which definition of the integers do you prefer: using ones or zeroes?

One is gender-neutral: **one is so pleased you are reading one’s post**!

So. number one, we salute you: you are singularly unique and one of a kind. A big hand for NUMBER ONE!

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