Money. If you want to figure out if everything is true then you need to be able to afford to buy the equipment needed to test it all. For instance if you think a food company is doing ingredients fraud then you need to pay the money to have their food tested and to be sure the ingredients are true.
I could try to answer this myself but I believe this says it better than I could. There is this https://en.wikipedia.org/wiki/Mathematical_logic And this; Such as the Fibonacci sequence which is found throughout the Universe and is based on the ratio of "Phi" Therefore Phi is an axiomatic (self-evident) mathematical aspect to the Universe's fundamental functions https://en.wikipedia.org/wiki/Axiom Our symbolic representation of mathematical functions is less important than the adherence to consistency in using those symbols. IOW, any mathematical equation has to be consistent to self and relatively consistent to its environment.
Don't look to mathematics without physical observation. Theoretical Physics Is Pointless without Experimental Tests / By Abraham Loeb on August 10, 2018 / https://blogs.scientificamerican.co...sics-is-pointless-without-experimental-tests/
Physical observation always yields a mathematical equation as to values and functions. Ask any theoretical scientist. They all experience the sensation of "discovery" (not "creation") of pre-existing mathematical functions based on the inherent values and conditions of the set under observation.
It needs no proof, its an self-evident axiom. It is never different than A = A and 1 + 1 = 2 An equation is an axiom by definition. Does anybody ever check out my links? Roger Antonsen explains this very clearly, even to the most uninitiated mind. https://www.ted.com/talks/roger_antonsen_math_is_the_hidden_secret_to_understanding_the_world
I agree completely. Verification is fundamental to Science. However that does not prohibit the use of mathematics in theoretical or predictive science. A beautiful example is the Higgs boson, which had never been seen but was theoretically predicted with the use of mathematics. The verification of the maths was confirmed when the experiment actually produced the boson at the Cern collider for a brief instant in time. The mathematics were proven correct and the particle achieved expression in our reality. I believe this was a profoundly important mathematically anticipated discovery. It proved several things at several levels. The Universe understands mathematical language. As one scientist said; "If you ask the universe something in a language she understands (mathematics), and you ask it nicely (good mathematics), she will provide the answer".
I believe Max Tegmark is still convinced that mathematics can be combined into a single universal set to form a TOE.
Well, Higgs et al received the Nobel prize for their efforts, a pretty strong endorsement by the body Science. That's why I said it was a landmark discovery of a previously hidden but suspected to exist particle. I'm not so sure. Bohm proposed a "Hidden Variable" theory, which might account for the apparent mathematical exceptions. https://en.wikipedia.org/wiki/Hidden_variable_theory#Bohm's_hidden_variable_theory
By the definition you use every organization is political. But Science is founded primarily on the acquisition of knowledge and evidence, not grand social oratory. I would not call public recognition and a monetary reward for 20 years of hard study a political event, other than as incentive for other scientists to stretch mind and pioneer new areas of inquiry and other interested organizations to offer scholarships or otherwise fund the sciences.
Evidence that suites the mainstream narrative . Not reality . Really ? So where is the funding for Halton Arp and Hannes Alfven research ? You know to " stretch mind " .
Apparently they did not do a great job of distributing their area of inquiry. I've never heard of either name. Could it be that their premise or proposition has already been tested and found wanting?