Fundamental Symmetry
The most fundamental symmetries are the idempotents --- switching sign, or turning even to odd, or flopping a pancake over just once.
Now, you need to contemplate an evening in Princeton, Chez Tukey, 1960 (that is 1911 when reflected).
Here, someone you may recognize...
Some questions you may ask?
What would Sister Stanislaus think?
Who else was there? ... 2, 3, 4, 5, 6.
Now for something completely different ...