Marginalia

Hume's Fork

Every meaningful claim is either a relation of ideas (certain but empty) or a matter of fact (informative but uncertain) — metaphysics is neither.

Period 1748
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If we take in our hand any volume; of divinity or school metaphysics, for instance; let us ask, Does it contain any abstract reasoning concerning quantity or number? No. Does it contain any experimental reasoning concerning matter of fact and existence? No. Commit it then to the flames: for it can contain nothing but sophistry and illusion. — David Hume, Enquiry, §12

The fork has two prongs:

  1. Relations of ideas — mathematics, logic. Certain, knowable by thought alone, but they tell us nothing about what exists.
  2. Matters of fact — that fire burns, that the sun will rise. About the world, but known only through experience and therefore never certain.

Immanuel Kant answered with a third category: the Synthetic a priori. The twentieth-century logical positivists revived the fork almost unchanged as their “verification principle.”

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