"A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations"

This quote by Henri Poincare is a tip that knowledge and reasoning are not constantly linked. Although an individual with a rational mind must be able to acknowledge rational fallacies, there are some people that are very smart yet are not able to understand mathematical demonstrations. This is since mathematics is a facility subject that calls for a particular level of understanding and also knowledge. It is not something that can be easily realized by everyone. Poincare is emphasizing that intelligence and logic are not constantly linked, which even the most smart people can battle with particular subjects. He is likewise suggesting that sensible misconceptions need to not be committed by those with a rational mind, as it suggests a lack of understanding. This quote is a suggestion that intelligence as well as reasoning are not constantly linked, and that even the most smart people can fight with particular topics.