What if they are all wrong? Questioning the validity of mathematical conjectures

What if they are all wrong? (2020)

I explore the nature of mathematical conjectures, questioning whether our reliance on them might be misguided. While often celebrated as guiding stars, many conjectures lack objective proof of their truth or interest. I argue that mathematicians should rigorously attempt to disprove these claims just as diligently as they try to prove them, rather than clinging to dogmatic beliefs about their validity.