Magnus Anderson wrote: ↑Tue Nov 08, 2022 9:44 pm
Skepdick wrote: ↑Tue Nov 08, 2022 7:18 pmYou haven't provided any rules to deduce any square circles.
You have provided rules to deduce the empty set.
Exactly. The rules merely tell you
how to deduce the set.
Dumb sophist. There is no need for a
how when the deduction always produces the empty set.
Magnus Anderson wrote: ↑Tue Nov 08, 2022 9:44 pm
It also refers to the rules that can be used to deduce that set.
But the rule "man woman" can also be used to deduce the set of square circles!
And the rule "triangles with 7 sides" can also be used to deduce the set of square circles!
And the rule "elephants which can fly" can also be used to deduce the set of square circles!
So surely all of those rules mean exactly the same thing!
Magnus Anderson wrote: ↑Tue Nov 08, 2022 9:44 pm
But
the set of rules that can be used to deduce what can be represented by "square circle" is NOT an empty one. The rules themselves exist.
The rules can be replaced by the empty set without affecting the deduction! Exactly like the expression "1+2-3" can be replaced by the expression "0" without affecting the meaning of an expression.
So if your rules can be replaced by the empty set then... your rules are null and void.
Magnus Anderson wrote: ↑Tue Nov 08, 2022 9:44 pm
even though there is nothing imaginary or real that can be represented by that term, there are rules that you can use to deduce that.
Why do you call it a rule when it produces the same result (the empty set) for any and all inputs? It's a constant.
Magnus Anderson wrote: ↑Tue Nov 08, 2022 9:44 pm
Fingers crossed you got it this time.
Fingers crossed, you'll give up on being an idiot any second now...
Magnus Anderson wrote: ↑Tue Nov 08, 2022 9:44 pm
Two words have one and the same meaning if and only if you can substitute one for another without changing the meaning of the statement they are constituting.
RIGHT! Now apply this exact same principle to your "rules"! You can substitute them for the empty set!
Is that what you've been trying to tell me all this time? "Square circle" represents the empty set.
Magnus Anderson wrote: ↑Tue Nov 08, 2022 9:44 pm
"Square circle" and "Man woman" are both contradiction in terms (i.e. oxymorons) but they are not synonymous with each other.
Well, they are! By your very own substitution rule! Both of them reduce to the exact same constant - the empty set.
Magnus Anderson wrote: ↑Tue Nov 08, 2022 9:44 pm
It's one thing when someone says "John is a square circle" and another when someone says "John is a man woman".
John is an empty set. Twice.
Magnus Anderson wrote: ↑Tue Nov 08, 2022 9:44 pm
They are both self-contradictory statements but they are not saying one and the same thing. This is particularly important in debates. If someone is claiming that "John is a square circle", and you want to argue against that, you are not free to substitute their statement with "John is a man woman" and attack
that statement instead. That would be a strawman.
Why wouldn't you be able to make the substitution?
Both "square circle" and "man woman" are materially equivalent to the empty set.