You keep on using the word “justified”. I don’t think you realize that when discussing axioms, this just plain doesn’t make sense. Axioms are, by definition, unjustifiable. Requesting justification for a set of axioms makes about as much sense as asking what the color of the number 3 is. It just doesn’t work that way.
You keep on using the word “justified”. I don’t think you realize that when discussing axioms, this just plain doesn’t make sense. Axioms are, by definition, unjustifiable. Requesting justification for a set of axioms makes about as much sense as asking what the color of the number 3 is. It just doesn’t work that way.
I used incorrect terminology. I should have asked why I should have axioms.
It may be unacceptable to ask for justification of axioms, but that does not make it acceptable to assume axioms without justification.
In what meaningful sense are those two phrasings different?