Glossary: I-Function

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The following material is an adapted form of material created by student participants of the project e-Learning Resources for Semantics (e-LRS). Involved participants: Lisa, Marthe, Elisabeth, Isabelle.

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 an 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

• Levine, Robert D., Frank Richter, and Manfred Sailer (in preparation): Formal Semantics. An Empirically Grounded Approach. Stanford: CSLI Publications. Draft of April 2012. Chapter 2.

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