Funny, when I went to school that was called logical positivism, not empiricism. Perhaps you should look up the definition of empiricism.
No, logical positivism says nothing is
true that isn’t derived from math or science–basically it takes empiricism’s stance on what can be reasoned about, and then says that nothing is true that isn’t reached by reason. That’s why nobody’s a logical positivist anymore, because that’s nonsense.
But Cartesian empiricism is just a
titch older than that.
Come to think of it that might
not be what is always meant by empiricism (frankly all post-Enlightenment “thought” is far too vague in its terminology–do you know how many meanings there are for “Monism” alone?), so I apologize for being nasty about you using the term differently from me.
Empiricism by your definition is, admittedly, more intelligent than I gave it credit for, since it at least acknowledges the relation between expreience and ideas–but I’ll wager it gets the relation between ideas and thought wrong (are they that which we are conscious of, or that by which we are conscious, however imperfectly, of things-in-themselves?).
But the fact remains it has a fatal flaw–considering that the Empiricism you referenced means, if one actually looks at it, that we cannot discuss imaginary numbers or non-Euclidean geometry, since nobody has or can have any experience of them. Ditto particles–they’re not only impossible to experience, they’re not even
picturable.
Empiricism was permissable in the era of Newton and Euclid–not so much in the era of Einstein and Schroedinger. The only way to deal with quantum theory, relativity, or string theory is by reason and reason alone, because our sense experience is limited to the macro-scale and the first four dimensions (and only a little of the fourth, at that).