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Function names *are* variables. Just not numerical variables. Functions aren't special mathematical objects. The correct distinction is between constants, like e, π, sin, cos, and other things.
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I wrote about it at a hit more length here: aperiodical.com/2019/11/that...
aperiodical.comThat which we call an identityI’m grateful to Jemma Sherwood and Rob Low for reading an early draft of this and for their comments thereon. All opinions are, of course, my own. This post is inspired by something that I se…