I haven't quite reached the "mathematical maturity" but what you describe seems like something I have be after too. I think you need to have a look at Kolmogor

I haven't quite reached the "mathematical maturity" but what you describe seems like something I have be after too. I think you need to have a look at Kolmogorov's Mathematics: Its Content, Methods and Meaning [0] You can also get it in print [1] [0]: https://archive.org/details/MathematicsItsContentsMethodsAndMeaningVol3/Mathematics-%20its%20contents%20methods%20and%20meaning%20Vol%201/ https://archive.org/details/MathematicsItsContentsMethodsAnd... [1]: https://www.amazon.com/Mathematics-Content-Methods-Meaning-Volumes/dp/0486409163?ref=d6k_applink_bb_dls&dplnkId=dcb6d7e7-2ce3-4995-a4dd-904d2a19bf33 https://www.amazon.com/Mathematics-Content-Methods-Meaning-V...