> Yes, they do.
You ignored the part of the statement where I then said (to then say "And this is why the world should be switch to socialism" or "this is why you should be a vegan".)
> Plenty of abstract mathematical concepts have zero connection to anything in nature or in the physical world.
Ok, and whether or not we say that this mathematical model is "real" or not, in some abstract sense, will not result in the mathematician telling me to be a vegan.
Basically, I can say "sure, your math model is real, in your own self defined axiom, but I can simply not care, or change any behavior, and thats fine".
> that your argument rests upon the simple fact of calling their arguments circular
So, the point of calling them circular, is that the philosophers I am referring to, aren't happy with me saying "Those are just axioms that you have. Sure, whatever, they are 'true' in a way that doesn't matter at all, outside of your own set of made up axioms, and if I don't have your axioms then I can simply not care, and there is nothing provable wrong with that".
The problematic philosophers I am talking about are the ones who are not just saying "here is a set of consistent axioms". Instead, the problamatic ones I am talking about are the ones who say "These axioms are true, because the universe said so, and therefore you should be a socialist/vegan/ancap/whatever", and they pretend like that is the same thing as using some chemistry knowledge, that is used to make rocketships.
> Nobody said you "have to listen" to anyone. You don't have to listen to scientists, mathematicians, ect
If I don't listen to scientists, or mathematicians, when trying to build a rocketship, then my rocketship might explode.
If I don't listen to a philosopher's argument about how a dualism magic soul exists, nothing happens. No rockets explode. I just make the philosopher upset that I am not becoming a vegan because they think the universe proves their axioms correct.
> could equally apply to any other discipline with 'circular' axioms, such as physics
Once again, thats fine! Because if we say that some set of untestable axioms isn't real, the physicist isn't going to get upset, and say that I am evil for not supporting whatever political argument they are making, because the universe proves them true. Its all just axioms. Mine are just as good as theirs. Philosophers have no authority on any of this.
> You're assuming your own axioms here.
Hey we've finally gotten there! Thats fine! Lets just say it is axioms all the way down, and nobody should listen to someone claiming that their axioms are proved to be true by the laws of the universe.
Thats the difference. I am not going to go around claiming that the universe proves my axioms. You have axioms. I have axioms. And philosophers have axioms. And just because someone is a philosopher, it does not mean that they can then wield that, and say that the universe proves their axioms true, and therefore thats why I have to support policy X or Y.
Just call it all axioms, and admit that philosophers aren't any better than anyone else's set of circular axioms, and call it a day!