idk

$$\rightmoon=\{\}$$ $$0=\{\rightmoon\}$$ $$*=\{0\}$$ $$*\alpha=\{*\beta\}$$ $$*\omega=\{0,*,*2,...\}$$ $$\circledcirc =\{0,*,...,*\omega ,...\}$$
$$*n\oplus*n=0$$ $$\circledcirc\oplus n=\circledcirc$$ $$\circledcirc\otimes n=\circledcirc$$ $$\circledcirc\oplus\circledcirc=0$$ $$\circledcirc\otimes\circledcirc=\circledcirc$$
$$\rightmoon\oplus n=\rightmoon$$ $$\rightmoon\otimes n=\rightmoon$$ $$\rightmoon\oplus\circledcirc=\rightmoon$$ $$\rightmoon\otimes\circledcirc=\rightmoon$$ $$\rightmoon\oplus\rightmoon=\rightmoon$$ $$\rightmoon\otimes\rightmoon=\rightmoon$$
$$+_x=\{0||0|-x\}$$ $$-_x=\{x|0||0\}$$ $$+_0=\{0|*\}=\uparrow$$ $$-_0=\{*|0\}=\downarrow$$
$$+_\text{on}=\text{pip}_0=\text{tiny}$$ $$\text{pip}_1=\{0|\text{pip}_0\}=\text{ace}$$ $$\text{pip}_2=\{0|\text{pip}_1\}=\text{deuce}$$ $$\text{pip}_3=\{0|\text{pip}_2\}=\text{trey}$$ $$\text{pip}_n=\{0|\text{pip}_{n-1}\}$$
$$\text{ace}+\text{ace}=\text{deuce}$$ $$\text{ace}+\text{deuce}=\text{trey}$$

$$\text{over}=\{0|\text{over}\}\equiv\frac 1 {\text{on}}$$ $$\text{under}=\{\text{under}|0\}\equiv\frac 1 {\text{off}}$$ $$+_\text{under}=\{0||0|\text{over}\}=\text{over}$$ $$-_\text{under}=\{\text{under}|0||0\}=\text{under}$$

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