How do axioms hinder scientific progress and benefit society?

[kmarinas86]

Axioms, as long as they remain axioms:
1) Are not falsifiable by experiment
2) Are not verifiable by experiment
3) When required by theories, are subject to questioning by non-scientists and conspiracy theorists
4) Make theoretical scientific notions which need them speculative rather than conclusive
5) Though they lead to a pragmatic way of thinking though possibilities, especially while ignoring those possibilities made irrelevant or insignificant by the axioms, axioms do not in themselves lead to any great benefits to the welfare or liberation of people.

"There are no axioms in science" is an axiom.

"One of the most fundamental axioms in science is that the components of a theory must be at least in principle "falsifiable" to qualify as science in the first place." -implication-> Being in science does not make it science.

 

[LeonhardEuler]

Axioms, as long as they remain axioms:
1) Are not falsifiable by experiment

You're satement, while technically correct, is basically equivilant to "Axioms, as long as they are not falsified, can not be falsified by experiment" If you are referring to axioms in mathematics, then of course these axioms are not falsifiable by experiments performed in the physical world because they are not statements about the physical world.

5) Though they lead to a pragmatic way of thinking though possibilities, especially while ignoring those possibilities made irrelevant or insignificant by the axioms, axioms do not in themselves lead to any great benefits to the welfare or liberation of people.

How can you say that axioms do not lead to great benefits to the welfare of the people? How far can you get in science without math?