Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I took a statement like

"Caracas and Valencia are located in Venezuela"

and expressed it as:

LocatedIn (Caracas, Venezuela) ^ LocatedIn(Valencia, Venezuela)

Is this a statement in propositional logic, first order logic or both?

I'm inclined to say it's first order logic due to its use of predicates, with an implied for all quantifier before it.

share|improve this question
    
I believe this is zeroth-order logic. –  goblin Sep 27 '13 at 0:26

1 Answer 1

up vote 6 down vote accepted

Your analysis is correct. Propositional logic in general deals with combinations of "atomic" propositions that are not analyzed further.

However, there is no implied universal quantifier. The various countries, cities are most naturally though of as constant symbols. So we are dealing here with a language that has at least one binary predicate symbol, and a large number of constant symbols. If $P$ is a binary predicate symbol, and $a$ and $b$ are constant symbols, then $P(a,b)$ is a sentence, and requires no quantification.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.