I found this question that discusses abstract theories that later found application. I am interested in accepted (at least at one point in time) abstract theories that:
- was contradicted by attempts to apply and/or observed phenomenon (as currently understood).
- are irreconcilable with another accepted and intersecting abstract theory
I am a licensed engineer by profession; but turning to philosophy. Some individuals point to the a priori or abstract nature of mathematics as justification that other a priori forms of knowledge exist. I hope to demonstrate that this dependence is unreliable by showing that mathematics requires a posteriori verification to acquire meaning.
I would be happy with 2–3 examples, or if someone could refer any texts that might document the history of such errors that would be helpful.