The phrase “necessary and sufficient”

YoshiharaM, Yoshihara M. “Necessary and sufficient” in biology is not necessarily necessary – confusions and erroneous conclusions resulting from misapplied logic in the field of biology, especially neuroscience. Journal of Neurogenetics 2018;32(2):53-64
(doi: 10.1080/01677063.2018.1468443) 

In this article, the authors describe an incorrect use of logic in current biology (especially neuroscience) which involves the careless application of the “necessary and sufficient” (N&S) condition originally used in formal logic. The words N&S are not only misleading, but the way of thinking of researchers when they use them is often incorrect. In most cases, they propose to use “indispensable and inducing”.