Glossary: I-Function

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I-Function

Definition

The I-Function used in Predicate Logic maps each name of logical language to one individual from the universe. In this sense, it maps individuals to properties and sets of individuals to relations.

Examples

The following examples refer to the scenario given in the online exercises.

Names:

I(walter)= <walter>
I(lisa)= <lisa>

Properties:

I(tall)= <tom>
I(blonde)= {<lisa>; <alice>}

Relations:

I(being-married)= {<alice,paul>; <paul,alice>}

References

• Group page 9: Predicate Logic

Literature

• Chapter 2 of Manfred Sailer's textbook