The amount of arrogance here is simply astounding!
You've taken some university level calculus and feel justified in calling the works of some of the greatest mathematicians to ever live a "parlor trick"? Yes, there are unsolved problems. However, these are being worked on and does not damage the credibility or consistency of established mathematics.
Consider this: I have DIRECT SENSORY EVIDENCE that advanced calculus works, because as a civil engineering student we use vast amounts of calculus to solve complex problems and to build ACTUAL, WORKING THINGS. Go observe a bridge, or a highway, or a power plant, or a wastewater plant, or your car, or the gas inside it. All of these problems have been solved with the current models of mathematics. We use math to make predictions about the things we build and, lo and behold, the predictions come true.
There are veritable mountains of evidence for the credibility of our mathematics. Even DIRECT SENSORY EVIDENCE you seem to love so much. If you like, you could even throw a ball in the air and solve for its velocity and maximum height using algebraic or calculus based models. Your answers will be the same and will match your observations provided you perform the experiment correctly. In fact, you'll find that many of the algebraic formulas used in physics were actually derived from calculus based models.
I totally agree. The only reason Gotham has to talk about Mathematics is that the number of unsolved problems in every field of human knowledge is enormous, so in that respect the "FE theories" are just as full of unsolved problems as everything else.
This argument appears every now and then in a slightly different wording: "nobody knows the truth, so FE is just as lost as any other 'theory'", "if you cannot explain the movement of the galaxies then it is acceptable that FE cannot predict where Mars will be tonight", "if you cannot explain the mechanism of gravity you are totally lost, so I am a genius".
But quite on the contrary, any discipline with lots of solved problems is invigorated by a large list of unsolved problems. No problems to solve means a discipline not worth researching.