Reread my post. I didn’t use them in reference to that mathematical operation, except in the end, where the problem domain would be different (and hence the operators could conceivably mean something different). I in fact said that “Which is not to say that one plus one does not equal two. It is, however, to say that one plus one may not be meaningful as a concept outside a very limited domain.”
I -did- do this in my response to you, because the confusion was in a sense important; you can’t outright deny the existence of sheep interactions, you can only point out that this isn’t addition. Which allowed me to make this point: “It’s very close to addition… and may reflect reality better than addition.”
I’m not attempting to define this operation, only present its conceivable existence. There are two points to this post: First, that any defined subset of mathematics is not universal. (That is, mathematics is not in fact a universal language, any more than “Language” is a universal language.) Second, that any defined subset of mathematics is a nonideal representation of reality, and that it would frankly be surprising if an advanced intelligence chose to use the same mathematics we chose through our biased processes.
Reread my post. I didn’t use them in reference to that mathematical operation, except in the end, where the problem domain would be different (and hence the operators could conceivably mean something different). I in fact said that “Which is not to say that one plus one does not equal two. It is, however, to say that one plus one may not be meaningful as a concept outside a very limited domain.”
I -did- do this in my response to you, because the confusion was in a sense important; you can’t outright deny the existence of sheep interactions, you can only point out that this isn’t addition. Which allowed me to make this point: “It’s very close to addition… and may reflect reality better than addition.”
I’m not attempting to define this operation, only present its conceivable existence. There are two points to this post: First, that any defined subset of mathematics is not universal. (That is, mathematics is not in fact a universal language, any more than “Language” is a universal language.) Second, that any defined subset of mathematics is a nonideal representation of reality, and that it would frankly be surprising if an advanced intelligence chose to use the same mathematics we chose through our biased processes.