@ColinTheMathmo I'm hoping I'm not misreading anything, but my thoughts on this are as follows: Sx = x + 1 is well defined for natural numbers, I would have thought that the if one were to extend to real numbers then, Sr = r + 1 for r ∈ ℝ is pretty natural.
So Sπ = π + 1 seems alright.
Of course, this extension, while obvious, isn't the only extension. The real answer is "it depends on how you define S", but I'd argue that defining it as anything other than the above borders on malicious.
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