Skepdick wrote: ↑Wed Mar 19, 2025 8:18 am
I am comparing {1,2} and {2,1} !!!
What should I compare them as?
Should I compare them as symbols?
Should I compare them as strings?
Should I compare them as sets?
Should I compare them as clusters of pixels?
You need to choose what you're comparing them as. Until you do that, you haven't really chosen what you're comparing.
Normally, when someone says they are comparing { 1, 2 } and { 2, 1 }, they are saying they are comparing sets. This is what the curly braces indicate.
But you're speaking in your own version of the language of mathematics. . . To you, { 1, 2 } and { 2, 1 } do not necessarily represent sets. They can also represent sequences, strings of characters, clusters of pixels, etc.
It would have been different if you have said, "I am comparing { 1, 2 } and { 2, 1 } as strings of characters". Using "as" clarifies that you aren't necessarily talking about sets. Or better yet, you could have said, "I am comparing the string of characters { 1, 2 } to the string of characters { 2, 1 }." But you haven't done that, and you generally don't do that; in fact, you refuse to tell us what you're comparing. No wonder nothing ever gets resolved.
A set, a sequence, a string of alphanumeric characters and a cluster of pixels are 4 different kinds of things, 4 different kinds of portions of reality.