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8178 | Empirical and a priori knowledge are not distinct, but are extremes of a sliding scale [Dummett] |
Full Idea: Our sentences cannot be divided into two classes, empirical and a priori, the truth of one to be decided by observation, the other by ratiocination. They lie on a scale, with observational sentences at one end, and mathematical ones at the other. | |
From: Michael Dummett (Thought and Reality [1997], 5) | |
A reaction: The modern post-Kantian dissolution of the rationalist-empiricist debate. I would say that mathematical sentences require no empirical evidence (for their operation, rather than foundation), but a bit of reasoning is involved in observation. |