Wayfarer:
I contend that the predictive capacities of logic and math are entirely explainable by seeing them as emergent properties of human cognition. Some fundamental work has already been done along these lines by neuroscientists like Anil Seth, Karl Friston, and Giulio Tononi, among many others. Anil Seth's predictive theory of consciousness addresses the major points that you raised. He literally sees the brain as a biochemical prediction machine. Now I don't claim that these theories are finished or that the puzzle of conscious experience has been solved, but there has been enough fundamental progress to at least begin to understand these issues and to see how they concretely relate to each other.
You mentioned the limits of evolutionary biology. That's funny, because hundreds of years ago people thought that the explanation of life required a soul or an 'animating' force beyond the body that was in control of our motion. Then biology, chemistry, and physics had their say and no one (who should be taken seriously) believes that anymore. The useless effort to stall the progress of neuroscience now is very much reminiscent of that: there is this deeply held belief that people just
cannot possibly be physical systems subject to energetic constraints! The thought alone to some is horrifying. And yet, that's exactly what we are. To me that's worth celebrating: it shows that we too are a part of this big beautiful family called nature.
You are obviously a fan of the history of philosophy, in a morbid kind of way that holds a tragic nostalgia for what has been lost. But cheer up, not everyone back then was totally clueless. Here is good old Lucretius in the Nature of Things:
Since the Nature of the mind and spirit, as we learn, is basically a part of a human being - then return
The name of harmony to the musicians.
Now pay attention here:
I tell you mind and spirit are bound up with one another,
And that together they combine to form a single nature.
Impressive realizations for someone writing so long ago. Now he got many things wrong too in the poem, but the things he got basically right are just astounding. And just for kicks since I have the book open:
All in the void beneath our feet lies open to our sight,
Such revelations and I'm seized by a divine delight,
I shiver, for due to your power, Nature everywhere
In every part lies open; all her secrets are laid bare.
Is a physical mental state a contradiction? To truly argue that, you would need to provide your understanding of the word "physical." Have you automatically defined "physical" as everything that exists outside the mind or the brain? If so, then it's a contradiction just by definition, which doesn't bother me in the slightest, because that definition is nonsense and no one with a few brain cells should use it.
Here's an actual contradiction:
How do you address the epistemological problem of Benacerraf? How does the transcendent Platonic realm communicate with the human mind? How does the mind gain access to the rational treasures of the "world beyond" if not through physical causation?