Many people seem to believe mathematicians work in non-constructive, non-structural, battered foundations because they love their Platonic realm and have a kink for AC and LEM. The reality is most mathematicians don’t have a clue about foundations, they don’t care, and happily work informally for all their lives.
This is a companion discussion topic for the original entry at https://matteocapucci.wordpress.com/2022/12/21/mathematicians-dont-care-about-foundations/