CronoDAS comments on Mathematics as a lossy compression algorithm gone wild - Less Wrong
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Possibly related:
The Reasonable Ineffectiveness Of Mathematics (warning: PDF)
Not having read the whole thing, it seems to make much of the failure of classical models to describe and predict electronic circuits. But if the correct model is quantum, this isn't necessarily surprising.
It seems possible that a set of physical laws will be discovered that allows lossless compression. Maybe QM as now understood will be included in that set. If so, it seems that those laws, and the mathematics involved therein, describe something real.
But that's not Platonism by the Wikipedia definition.
Neat. While this article does not go far enough for my tastes, I am quite happy that it confirms my "strong non-Platonism" intuition (I called it anti-Platonic.)