Okay, but where do the definitions come from and what do they refer to? If you don't care, fine. You simply are only concerned with the utility of this so call

Okay, but where do the definitions come from and what do they refer to? If you don't care, fine. You simply are only concerned with the utility of this so called "mathematics". But at some point, and with some sophistication, you get bothered about how well it all works and how some surprising connections are made that seem all too natural. Then you end up writing an essay like Wigner. [1] I write this to say, no wonder people are bothered about a "foundations". Whether it bothers you or not is immaterial, but you can understand why people get bothered. [1] https://en.wikipedia.org/wiki/The_Unreasonable_Effectiveness_of_Mathematics_in_the_Natural_Sciences https://en.wikipedia.org/wiki/The_Unreasonable_Effectiveness...