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Propositional Logic vs. Predicate Logic

Description: Propositional Logic vs. Predicate Logic Quiz
Number of Questions: 16
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Tags: propositional logic predicate logic logic
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Which of the following is a propositional logic statement?

  1. All men are mortal.

  2. Socrates is a man.

  3. If it is raining, then the ground is wet.

  4. There exists a prime number greater than 10.


Correct Option: C
Explanation:

Propositional logic statements are statements that are either true or false, and do not contain any variables.

Which of the following is a predicate logic statement?

  1. All men are mortal.

  2. Socrates is a man.

  3. If it is raining, then the ground is wet.

  4. There exists a prime number greater than 10.


Correct Option: A
Explanation:

Predicate logic statements are statements that contain variables, and can be either true or false depending on the values of the variables.

Which of the following is a propositional logic connective?

  1. And

  2. Or

  3. Not

  4. If...then


Correct Option: A
Explanation:

Propositional logic connectives are symbols that connect propositional logic statements together.

Which of the following is a predicate logic quantifier?

  1. All

  2. Some

  3. No

  4. There exists


Correct Option: A
Explanation:

Predicate logic quantifiers are symbols that specify the range of values that a variable can take.

Which of the following is a propositional logic fallacy?

  1. Affirming the consequent

  2. Denying the antecedent

  3. Modus ponens

  4. Modus tollens


Correct Option: A
Explanation:

Propositional logic fallacies are arguments that are not logically valid.

Which of the following is a predicate logic fallacy?

  1. Existential fallacy

  2. Universal fallacy

  3. Categorical syllogism

  4. Hypothetical syllogism


Correct Option: A
Explanation:

Predicate logic fallacies are arguments that are not logically valid.

Which of the following is a propositional logic theorem?

  1. De Morgan's laws

  2. Distributive law

  3. Associative law

  4. Commutative law


Correct Option: A
Explanation:

Propositional logic theorems are statements that are true in all cases.

Which of the following is a predicate logic theorem?

  1. Universal instantiation

  2. Universal generalization

  3. Existential instantiation

  4. Existential generalization


Correct Option: A
Explanation:

Predicate logic theorems are statements that are true in all cases.

Which of the following is a propositional logic model?

  1. Truth table

  2. Venn diagram

  3. Syllogism

  4. Proof


Correct Option: A
Explanation:

Propositional logic models are representations of propositional logic statements that allow us to determine their truth values.

Which of the following is a predicate logic model?

  1. First-order structure

  2. Interpretation

  3. Model theory

  4. Proof theory


Correct Option: A
Explanation:

Predicate logic models are representations of predicate logic statements that allow us to determine their truth values.

Which of the following is a propositional logic proof system?

  1. Natural deduction

  2. Axiomatic system

  3. Resolution

  4. Tableau


Correct Option: A
Explanation:

Propositional logic proof systems are systems of rules that allow us to derive new propositional logic statements from given propositional logic statements.

Which of the following is a predicate logic proof system?

  1. First-order logic

  2. Second-order logic

  3. Modal logic

  4. Intuitionistic logic


Correct Option: A
Explanation:

Predicate logic proof systems are systems of rules that allow us to derive new predicate logic statements from given predicate logic statements.

Which of the following is a propositional logic application?

  1. Computer science

  2. Mathematics

  3. Philosophy

  4. All of the above


Correct Option: D
Explanation:

Propositional logic has applications in computer science, mathematics, and philosophy.

Which of the following is a predicate logic application?

  1. Computer science

  2. Mathematics

  3. Philosophy

  4. All of the above


Correct Option: D
Explanation:

Predicate logic has applications in computer science, mathematics, and philosophy.

Which of the following is a propositional logic programming language?

  1. Propositional Prolog

  2. SAT Solver

  3. ASP Solver

  4. All of the above


Correct Option: D
Explanation:

Propositional Prolog, SAT Solver, and ASP Solver are all propositional logic programming languages.

Which of the following is a predicate logic programming language?

  1. First-Order Prolog

  2. Datalog

  3. Answer Set Programming

  4. All of the above


Correct Option: D
Explanation:

First-Order Prolog, Datalog, and Answer Set Programming are all predicate logic programming languages.

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