logic is just one piece of the trivium, which is just the three Rs, which is just language, acquired organically at about puberty; it does not require study per se. that is why the Greeks invented *mathematica*, which is four subjects, quadrivium in Latin; *mathematica* can be studied without knowing how to read & write (grammar and rhetoric), because it is "hands on
as a former teacher of mathematics, you should have known this, and this is probably why they let you go, to put it mildly
> No-one is used to axioms in physics or science. Only mathematicians are used to axioms.
> First off, you must be aware that Physics is above mathematics and that all of math comes out of physics, so to ask if the axioms of Physics are decidable must be put into that scheme of things. > > > > Now for example, if we knew only a little about math, how to add, subtract but nothing about circles or pi or circumference or diameter and then saw a circle for the first time with its circumference and diameter, we may be smart to ask, how many diameters does it take to go around the circle once. And we would think it is all math and all the responsibility of math and no physics involved. So we measure crudely several circles and their diameter and circumference and we begin to see that a bit more than 3 diameters makes a circumference. But if we get a full education and become a scholar of science and math, we find out that the Universe itself is one big atom and the chemical element that fits the numbers of physics the best is the element Plutonium. We find out that plutonium has 22 subshells in 7 shells or 22/7 = a close approximation of pi. So although pi is a subject of mathematics, it is produced by Physics, because if the Atom Totality were say hydrogen or helium then pi would be 1 subshell in 1 shell or 1 for the value of pi. In such a universe, if people were living in it, they would all measure their circles with pi equaling 1, instead of 22/7. > Have you studied Logic?