What should philosophers know about math and natural sciences?

Question

My question is whether a lack of knowledge about formal mathematics or theoretical science in general would have an impact on a philosopher's ability to think and make judgments. Why should a philosopher acquire a deeper understanding of natural sciences or develop mathematical and scientific ways of thinking?

Answer 1

If you check out Michael Polanyi or Bernard Lonergan you will see that for many pressing problems, knowledge of science/math is crucial and this lack in many philosophers explains their poor answers in political philosophy (eg Marxism), what is intelligence or the soul (eg AI) and is life just a meta phenomenon of matter (Artificial Life)