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.
instructs a Disjunction between𝐴 ∨ 𝐵 and𝐴 𝐵
- As its denotation (infinite, static)
— as its idealised final result.
denotes the same thing as1 + 5 6
Two sentences having the same denotation implies they have the same sense, but the converse is not necessarily true