This ought leaves out the practical problem of having nothing sufficiently proven in order to live. Literary analysis picked up this modernist tendency of scientism, though its subject matter is full of passion and values and all kinds of non-scientific life . It's also too much to trace the history of those who have tried to disprove it, without getting into whole philosophies and theologies and epistemologies and logologies. For example, from one set of perspectives, if man's values are just conscious extensions of nature's values or God's values, then somehow the values are natural but also valuable. It is to recover final causes in nature.
Value becomes part of reason.
For another, much phenomenology. If free will exists, and it experientially does, then science is stuck without it. Ethics as taste. There can be a plurality of reasons and kinds of reasons. Fanatics, e.g., lose the common sense of interacting with their reasonable dissenters.