This is slightly misleading. "All of science" doesn't rely on intuition-- it relies on the scientific method. Intuition guides how we develop our models but ultimately there _is_ a real forcing function in the sense that the models need to hold up to experiment.
An example of why this matters: string theory. AFAICT It's a field that is built with a clear(ish) intuition and rigorous use of logic, but because it is experimentally unverifiable the field has never really moved past conjecture.
An example of why this matters: string theory. AFAICT It's a field that is built with a clear(ish) intuition and rigorous use of logic, but because it is experimentally unverifiable the field has never really moved past conjecture.