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________ predicate calculus allows quantified variables to refer to objects in the domain of discourse and not to predicates or functions.

  1. Zero-order 
  2. First-order
  3. Second-order 
  4. High-order
in Mathematical Logic by
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3 Answers

+4 votes

Answer : First Order 

Reference : First Order Predicate Calculus Example and Explanation is Here 

+1 vote

Ans is B 

First-order logic is a collection of formal systems used in mathematicsphilosophylinguistics, and computer science. It is also known as first-order predicate calculus, thelower predicate calculusquantification theory, and predicate logic. First-order logic uses quantified variables over (non-logical) objects. It allows the use of sentences that contain variables, so that rather than propositions such as Socrates is a man one can have expressions in the form X is a man where X is a variable.[1] This distinguishes it frompropositional logic, which does not use quantifiers.

A theory about a topic is usually a first-order logic together with a specified domain of discourse over which the quantified variables range, finitely many functions from that domain to itself, finitely many predicates defined on that domain, and a set of axioms believed to hold for those things. Sometimes "theory" is understood in a more formal sense, which is just a set of sentences in first-order logic.

+1 vote

First-order predicate calculus allows quantified variables to refer to objects in the domain of discourse, and not to predicates or functions. 


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