i skimmed this article and am r-worded
https://works.swarthmore.edu/cgi/viewcontent.cgi?article=1458&context=fac-philosophy#:~:text=The%20%E2%80%9CBig%20Four%E2%80%9D%20philosophical%20views,are%20ultimately%20truths%20of%20logic.
however, on the second page of the article the author describes the main holes each approach poked in the others. i don’t want to make a fool of myself and pretend to understand them. i found it to be similar to religions, where each approach has a valid structure and reasoning, but are all ultimately flawed in some way that can be addressed in an alternative approach. no one approach agreed with ALL of mathematics. good luck with your research, this is a very difficult subject to wrap my head around.
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