"The poet only asks to get his head into the heavens. It is the logician who seeks to get the heavens into his head. And it is his head that splits." G.K. Chesterton

Thursday, September 14, 2017

I've identified an interesting semi-group in Australian slang ;)

(G, * )

G  = {yeah, nah}

yeah nah = nah
nah yeah = yeah
nah nah = nah
yeah yeah = yeah


(yeah nah) yeah = yeah
yeah (nah yeah) = yeah

(yeah yeah) nah = nah

yeah (yeah nah) = nah

(nah yeah) nah = nah

nah (yeah nah) = nah

(nah nah) yeah = yeah

nah (nah yeah) = yeah

The above structure can be extended to a monoid, if we add the empty word as the identity element.

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