You may find the biography of Bertrand Russell and his life’s work very interesting, I think. He set out to prove that mathematics is in fact the basis of all things, and that all things could be discovered and understood through pure logic if only our logic system was good enough. And yet, he failed, and his master work wound up proving the opposite: that in fact something else, something un-logical in its nature, has to underlie mathematics and logic. It sort of drove him crazy, and makes for a fun story as well as perhaps a good warning for those who would cut out what you’re calling Intuition from the process of discovery.
If you have lots of extra time and want to go further, looking into kungfu may also be fruitful: it’s framed very differently, but as a path of knowledge, kungfu insists that would-be discoverers of its secrets must both practice and experiment rigorously, and make themselves into good instruments of intuition and the reception of flashes of insight. As a style of self-education, it’s unique and has a lot to offer about using those two elements—intuition and reason—together, imo.
You may find the biography of Bertrand Russell and his life’s work very interesting, I think. He set out to prove that mathematics is in fact the basis of all things, and that all things could be discovered and understood through pure logic if only our logic system was good enough. And yet, he failed, and his master work wound up proving the opposite: that in fact something else, something un-logical in its nature, has to underlie mathematics and logic. It sort of drove him crazy, and makes for a fun story as well as perhaps a good warning for those who would cut out what you’re calling Intuition from the process of discovery.
If you have lots of extra time and want to go further, looking into kungfu may also be fruitful: it’s framed very differently, but as a path of knowledge, kungfu insists that would-be discoverers of its secrets must both practice and experiment rigorously, and make themselves into good instruments of intuition and the reception of flashes of insight. As a style of self-education, it’s unique and has a lot to offer about using those two elements—intuition and reason—together, imo.