# Why do we rely upon scientific approach when its foundational axioms are assumed and agreed without proof?

Why do we rely upon scientific approach when its foundational axioms are assumed and agreed without proof?

Foundation of the scientific explorations are seem to be the mathematical axioms at its root. But if we see the definition of the axiom we find axioms are basically the propositions which requires no proof and universally accepted. If so, why do we treat science as the most reliable way to understand our reality which is based on something that itself have no proof? What are the philosophical justification of the reliability of science?

• Wait, back up... what foundational axioms of science are you talking about? Commented Jun 15, 2020 at 1:59
• @HWalters mathematical axioms. Is there any way to reliably do science without mathematics? Commented Jun 15, 2020 at 2:06
• It seems to work. Bridges and airplanes usually stay up. We came out of caves and built all this using rationality and our human instinct to math, science and engineering. What it all means ultimately, is anyone's guess. Maybe the order we see is just an illusion, and the actual world is formless and random. It's possible. Commented Jun 15, 2020 at 2:45
• Most of science does not use mathematics in a substantive way, it is only used to transform data from one form into another (statistics). In this respect the "axioms" are just extensions of our linguistic conventions to counting and measurement. Where mathematics is used substantively (mathematical physics, chemistry, to a very limited extent, biology) the "axioms" are surmises from multiple observations and experiments, so they are proved (by experience), although not in a mathematical sense. And that is the "scientific approach", even without mathematics, and why it is reliable. Commented Jun 15, 2020 at 6:38
• We can mimick the well-known Churchill's dictum about democracy: "it has been said that [the scientific approach] is the worst form of [knowledge] except for all those other forms that have been tried from time to time.…" Commented Jun 15, 2020 at 7:11