"I believe: Anything at all that can be the object of scientific thought becomes dependent on the axiomatic method, and thereby indirectly on mathematics, as soon as it is ripe for the formation of a theory."
– David Hilbert (Axiomatisches Denken, 1918)
"Black holes are one of only a fairly small number of cases in the history of science in which a theory was developed in great detail as a mathematical model before there was any evidence from observations that it was correct."
– Stephen Hawking (A Brief History of Time, 1988)
"The Higgs is associated with an invisible field predicted [in 1964] to
permeate throughout all of space interacting with particles to give them
mass… This field is simply posited to exist, and apparently it does."
– Lawrence M. Krauss (Higgs and the holy grail of physics, 2012)
"In the wake of the recent financial crisis, heterodox economists have taken up a time-honored refrain and proposed to abandon the axiomatic method. The present paper argues that this proposal is self-defeating."