Speakpigeon said:
Your argument here shows you don't understand my question to begin with.
Basically, I was assuming mathematical logic was wrong, and therefore had an incorrect notion of validity, and asked what could be the consequences of that.
Instead of replying to my question, you assume here that the mathematical notion of validity is correct and infer from that Aristotle would be wrong. This is pathetic.
I lost interest in what you can tell a while ago. You haven't answered my questions. Not this one, not the question on validity. You won't ever, simply because, somehow, you don't understand the questions.
Even though they are really, really simple.
Have a good day.
EB
First, you grossly misrepresent what happened in the other thread. I would recommend readers to take a look (link:
https://talkfreethought.org/showthread.php?18548-How-a-wrong-logic-could-affect-mathematics).
The fact is that I did reply to your argument. I said pretty clearly that assuming that:
a. Mathematical logic uses the definition of validity that you say it does.
b. Mathematical logic, as you claim, has the wrong definition of validity, in the sense that it is not equivalent to the notion of validity in human logic.
c. Every mathematical statement is either true or false - which follows from your own assertion that every statement is either true or false, in reply to one of my questions,
then, the main consequence of mathematical logic being wrong would be that mathematicians have a
superior tool for finding mathematical truth than human logic. On the other hand, it would be a mistake to claim that arguments using mathematical logic are human-valid, so that would need correcting. But mathematicians should keep using the superior tool, namely mathematical logic.
It is interesting that I said that - and argued for it, establishing it conclusively-,
before you made claims that implied that human logic was not truth-preserving. So, even
without the debunking of your position that I posted in this thread, it followed that mathematicians had the superior method - the wrong logic, that is.
Second, in that thread, and after you made statements implying that Aristotelian logic is not truth-preserving, I showed how bad Aristotelian logic was,
assuming your claims!. Since you also claimed that Aristotelian logic is human logic, that applies to human logic as well.
Third, you claim that you lost interest in what I have to tell you, even though you reply to me so you ought to expect a reply. Alright, whatever, but I still have an interest in debunking your claims over an over again. Why? As I said, it is proper retaliation for misrepresenting my position over and over again. You misrepresent, then I debunk. You misrepresent again, then I debunk again. And so on.
Fourth, of course your claim that "Instead of replying to my question, you assume here that the mathematical notion of validity is correct and infer from that Aristotle would be wrong. This is pathetic." is false, and it is obvious to a person reading the exchange with a minimum amount of interest and being rational about it that is false.