Interpretation/Examples

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Examples of Interpretations

Aristotle

The symbol $\text {Aristotle}$ has no meaning in itself.

However, it acquires meaning when it is assigned an interpretation such that $\text {Aristotle}$ stands for the person Aristotle.


Propositional Calculus

The propositional calculus $\CC$ has a domain $\set {\T, \F}$ representing true and false.

The semantic rules of $\CC$ assign to each WFF of $\CC$ one or other of $\T$ and $\F$.

The connectives of $\CC$ are assumed in this context to have a fixed meaning.