I disagree. If “a + b + c” suggests “+” is associative, and “a × b × c” that “×” is associative, what about “a - b - c”, “a / b / c” and “a ^ b ^ c”?
Or are you suggesting Σaᵢ and Πaᵢ suggest associativity? If so, how?
(I also think you mean “commutativity”, not “symmetry” (https://en.wikipedia.org/wiki/Commutative_property) symmetry typically is about relations (https://en.wikipedia.org/wiki/Symmetric_relation)
I disagree. If “a + b + c” suggests “+” is associative, and “a × b × c” that “×” is associative, what about “a - b - c”, “a / b / c” and “a ^ b ^ c”?
Or are you suggesting Σaᵢ and Πaᵢ suggest associativity? If so, how?
(I also think you mean “commutativity”, not “symmetry” (https://en.wikipedia.org/wiki/Commutative_property) symmetry typically is about relations (https://en.wikipedia.org/wiki/Symmetric_relation)