Scope (Logic)/Examples/Arbitrary Example 3
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Example of Scope in the context of Logic
Consider the statement:
- $\exists x: \paren {x < y} \lor y = 0$
We have:
- $(1): \quad$ The scope of $\exists$ is $x$.
- $(2): \quad$ The scope of $\exists x$ is $\exists x: \paren {x < y}$.
- $(3): \quad$ The scope of $=$ is $y$ and $0$.
- $(4): \quad$ The scope of $\lor$ is $\exists x: \paren {x < y}$ and $y = 0$.
Scope (Logic)/Connective
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Sources
- 1972: Patrick Suppes: Axiomatic Set Theory (2nd ed.) ... (previous) ... (next): $\S 1.2$ Logic and Notation