One question is whether people are looking for logically certain answers any more:

Whereas mathematics seeks precise and certain answers, obtaining them in real life is often intractable or outright impossible. In such circumstances, what we really want are algorithms that return reasonable approximations to the right answers in an efficient and reliable manner. Real-world models also tend to rely on assumptions that are inherently uncertain and imprecise, and our software needs to handle such uncertainty and imprecision in robust ways.

Many of philosophy’s central objects of study – language, cognition, knowledge and inference – are soft in this sense. The structure of language is inherently amorphous. Concepts have fuzzy boundaries. Evidence for a scientific theory is rarely definitive but, rather, supports the hypotheses to varying degrees. If the appropriate scientific models in these domains require soft approaches rather than crisp mathematical descriptions, philosophy should take heed. We need to consider the possibility that, in the new millennium, the mathematical method is no longer fundamental to philosophy.

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Ultimately, mathematics and the sciences can muddle along without academic philosophy, with insight, guidance and reflection coming from thoughtful practitioners. In contrast, philosophical thought doesn’t do anyone much good unless it is applied to something worth thinking about. But the philosophy of mathematics has served us well in the past, and can do so again. We should therefore pin our hopes on the next generation of philosophers, some of whom have begun to find their way back to the questions that really matter, experimenting with new methods of analysis and paying closer attention to mathematical practice. The subject still stands a chance, as long as we remember the reasons we care so much about it.

Jeremy Avigad, “Principia

Is it possible that, in the new millennium, the mathematical method is no longer fundamental to philosophy?” atAeon

Hmmm. Maybe it is simpler than all this: One wonders, at times, when people say they have no use for philosophy or for mathematics, whether they really mean that they have no use for rationality or logic in their assessments of things.

*See also:* Prime numbers are not “nearly as scattershot” as previously thought