Logic / Logic 135 · Atom · ~20 seconds
Why the Conditional's Table Looks Wrong
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State
Read p ⊃ q as a promise: it's broken only when p happens and q doesn't. An untriggered promise isn't a broken one.
Show
"If you mow the lawn, I'll pay you $20." You never mow. Did I lie? No — the conditional stands.
Watch for
The material conditional is the *minimal* truth-functional "if." English "if" sometimes carries more; the table carries exactly this.
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- Nothing yet depends on this.