Additional examples are adjusted to the entries in an automated way - we cannot guarantee that they are correct.
For some, even this axiom does not seem to hold.
Well, that axiom can be put on hold for a while.
There is that old axiom, the show must go on.
The axiom states the following always has a true truth value.
These axioms are still in common use to this day.
That is to say, should be an axiom in these systems?
Why do we not add them to the list of axioms given above?
After that step, the axiom of choice is not used again.
It seemed we were to have the opportunity to test that axiom.
In fact, he had lived his life by the axiom "Good enough never is."
The next five axioms are based on connections between people.
There's a slightly different reason for this, almost another axiom.
The axiom is that you make peace with the experience or lose your mind.
If the axiom of choice is not assumed we need to do something different.
But clearly it is not the sort of axiom with which we can rest content.
All these are linked in one way or another to the axiom of choice.
Increase the number of variables, but the axioms themselves never change.
"Sometimes, we have to go back and question the axioms," he said.
See History of the separation axioms for more on this issue.
If one accepts the axiom of choice, the answer is yes.
This second definition makes sense without the axiom of choice.
However, these may all be different if the axiom of choice fails.
So far, these axioms do not seem to lead to any contradiction.
Drinking it brought to mind the axiom that too much of a good thing is not enough.
The axiom is that these novels are the first to be written.