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> axioms are by definition arbitrary sorry, the axioms of Euclidean Geometry are not arbitrary. They are axioms by the definition of axioms, but not by the def
by fsckboy 3y ago
> axioms are by definition arbitrary
sorry, the axioms of Euclidean Geometry are not arbitrary. They are axioms by the definition of axioms, but not by the definition of arbitrary.
- scoofy 3y agoI’m a bit overwhelmed with the pushback on this point. The fact that axioms are, again, by definition arbitrary, should be anything but controversial. The axioms of Euclidean geometry are very obviously arbitrary, in that, we can create other forms of geometries should we choose to. The fact that we are attempting, with Euclidean geometry, to create a model of the phenomena we experience is good and useful, but that does not change the fact that we could create a geometry of any other fashion, to map to any other phenomena we could imagine. If we found that all minds feel the same with regard to an ethical mapping we created (I see this as Chomsky’s point) then we have effectively created a physics of ethics. The problem is that it is quite obvious that this is not the world we live in. In fact, if it were, I would hardly think we would have much disagreement about anything of moral substance. Thus, we are living in a world where two people measure the same geometric line, and find two different results, form two different axioms to model their measurements, and then try to enforce their measurements with threats of violence. Again, I consider myself a fairly ethical person, I have an moral theory, I just don’t pretend that my theory can be universalizable, and don’t think that moral judgments, in a philosophical sense, have much foundation. The reason I fight for what I fight for is that I feel that doing what we can to help each other is the way we should live. I just know there are plenty of people who will inherently disagree, and there is little way to reason with them. I’m not a moral relativist in that sense, I just refuse to pretend that I can create an ethical theory in any moral sense beyond what makes good sense to me.
- fsckboy 3y agoa million monkeys on typewriters typing arbitrarily will ultimately type out every known work of literature. But the known works of literature were not created arbitrarily.
- suddenlybananas 3y agoYou're confusing arbitrary with random. We have chosen the axioms of Euclidean geometry because they are useful, but we could very easily chose different axioms and derive a different geometric system. We didn't choose the Euclidean axioms randomly, but they weren't an a priori given either.