Logic MOC

Sense and denotation

Given a logical sentence, there are two opposing ways of viewing it

  • As its sense (dynamic, syntactic) — as the sequence of instructions encoded in syntax.
    • 𝐴 𝐵 instructs a Disjunction between 𝐴 and 𝐵
  • As its denotation (infinite, static) — as its idealised final result.
    • 1 +5 denotes the same thing as 6

Two sentences having the same denotation implies they have the same sense, but the converse is not necessarily true


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