Meeting : 11
Semantics IG 0352
Properties of predicates
Learning Outcome
– Students are able to identify the properties of
predicates
Semantics IG 0352
2
Outline
– Properties of predicates
• Symmetric and assymetric predicates
• Reflexsive and irreflexsive predicates
• Transitive and intransitive predicates
Properties of Predicates
– Symmetric predicate
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P = a two – place predicate
X = referring expression
Y = referring expression
XPY entails YPX
P = a symmetric predicate
Properties of Predicates
– Assymmetric predicate
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P = a two – place predicate
X = referring expression
Y = referring expression
XPY contradicted to YPX
P = an assymmetric predicate
Properties of Predicates
– Properties of predicates
– Reflexsive predicate
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P = a two – place predicate
X = referring expression
Y = referring expression
X and Y = have the same referent
XPX = analytic sentence
XPY = analytic sentence
P = a reflexsive predicate
Properties of Predicates
– Properties of predicates
– Irreflexsive predicate
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P = a two – place predicate
X = referring expression
Y = referring expression
X and Y = have the same referent
XPX = contradiction
XPY = contradiction
P = a irreflexsive predicate
Properties of Predicates and Derivation
– Properties of predicates
– Transitive predicate
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•
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P = a two – place predicate
X = referring expression
Y = referring expression
Z = referring expression
XPY and YPZ entails XPZ
P = a transitive predicate
Properties of Predicates and Derivation
– Properties of predicates
– Intransitive predicate
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P = a two – place predicate
X = referring expression
Y = referring expression
Z = referring expression
XPY and YPZ contradiction of XPZ
P = a intransitive predicate
Conclusion
Properties of Predicates
Symmetry
assymetry
Reflexsive,
irreflexsive
Transitive
intransitive