Philosopher Matt Lutz Uses a Card Deck Paradox to Probe What Probability Really Is
inductionheads · x · 2026-10-17
Philosopher Matt Lutz published an essay on Humean Being dissecting a simple thought experiment: before you look, the top card of a shuffled deck has a 1/52 chance of being the 3 of clubs; after you see it's the 7 of diamonds, the probability drops to 0% — yet nothing about the deck changed.
He lays out three positions:
- The probability was always 1/52 and 0% is simply wrong — but this feels absurd.
- The probability was always 0% in a deterministic world — but this undermines standard probability practice.
- Both answers were correct: probability tracks the subject's information state.
The piece frames the classic debate over whether probability is an objective feature of the world or a measure of credence.
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