Predicate Logic Quizzes, Questions & Answers

Predicate Statements Quizzes

Predicate Symbols, Arity, and Open Statements Quiz

Are you ready to get comfortable with predicate statements in formal logic? This quiz focuses on the basics of how predicates work and how they differ from full propositions. You&r...

Questions: 15 | Attempts: 16 | Last updated: Dec 12, 2025

Sample Question
Which of the following shows an application of a predicate symbol?

X + 2 = 5

P(x)

∀x P(x)

∃x Q(x)

Predicates, Free Variables, and Atomic Formulas Quiz

Think you can spot the difference between a predicate with free variables and a closed proposition? This quiz focuses on the structure of predicate formulas: free vs. bound variabl...

Questions: 15 | Attempts: 11 | Last updated: Dec 12, 2025

Sample Question
Which of the following is a predicate rather than a proposition?

Open the book.

X is prime

The sky is blue.

Paris is the capital of France.

Instantiating Predicates and Evaluating Truth Values Quiz

Want to see how predicates become real, truth-evaluable statements? In this quiz, you’ll practice instantiating predicates like P(x), Q(x, y), and S(x) with specific constant...

Questions: 15 | Attempts: 11 | Last updated: Dec 12, 2025

Sample Question
Which of the following is a predicate, not a proposition?

2 + 2 = 4

The Moon orbits Earth

X > 5

Today is Tuesday

All Predicate Statements Quizzes

Logical Quantifiers Quizzes

Quantifiers Fundamentals Logic Quiz – Undergraduate Predicate Logic Practice

Are you ready to get comfortable reading and writing statements with “for all” and “there exists”? This quiz focuses on the core ideas behind universal (&fo...

Questions: 15 | Attempts: 13 | Last updated: Dec 12, 2025

Sample Question
What symbol represents “for all”?

∃

∧

∀

→

Quantifiers Quiz: Master Universal and Existential Reasoning

Universal and existential statements show up everywhere in math, and this quantifiers quiz helps you read them with confidence. You’ll practice interpreting claims that apply...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
What is the correct negation of the statement “Every dog is friendly”?

Some dog is not friendly

No dog is friendly

Every dog is not friendly

Some dog is friendly

Negating Quantifiers and Translating Quantified Statements Quiz

Think you can flip quantified statements correctly without getting tangled? This quiz trains you to negate universal and existential claims, and to express ideas like “some,&...

Questions: 15 | Attempts: 10 | Last updated: Dec 12, 2025

Sample Question
“¬∀x P(x)” is equivalent to:

∀x ¬P(x)

∃x ¬P(x)

∃x P(x)

¬∃x ¬P(x)

All Logical Quantifiers Quizzes

Universal Statements Quizzes

Negating and Translating Universal Statements Quiz

Ready to sharpen your intuition about “for all” statements? This quiz focuses on how universal claims are formed, how they’re negated, and how they connect to eve...

Questions: 15 | Attempts: 11 | Last updated: Dec 12, 2025

Sample Question
Which of the following is the negation of the statement "All chickens can fly"

Some chickens cannot fly

Chickens can swim

No chickens can fly

Chickens are mammals

Universal Statements Quiz: Interpret General Logical Claims

In this universal statements quiz, you’ll explore claims that must hold true for every case in a given set. You’ll check examples, look for counterexamples, and see how...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
Formalization of 'All primes greater than 2 are odd':

∀x(Prime(x) ∧ Odd(x))

∀x((Prime(x) ∧ x>2) → Odd(x))

∃x(Prime(x) ∧ x>2 ∧ Odd(x))

∀x(Prime(x) → Odd(x))

Reasoning with Universal Quantifiers and Logical Inference Quiz

Want to see how universal statements power real logical reasoning? This quiz highlights how ∀x P(x) interacts with conditionals, conjunctions, and existence claims in proofs...

Questions: 15 | Attempts: 10 | Last updated: Dec 12, 2025

Sample Question
"All primes greater than 2 are odd" has form:

∀x(Prime(x) ∧ Odd(x))

∀x((Prime(x) ∧ x > 2) → Odd(x))

∃x(Prime(x) ∧ x>2 ∧ Odd(x))

∀x(Prime(x) → Odd(x))

All Universal Statements Quizzes

Existential Statements Quizzes

Existence Theorem Assessment Test

Existence theorems are mathematical theorems with a statement that begins with 'there exist(s)..'. It is a theorem with a prenex normal form involving the&nb...

Questions: 10 | Attempts: 153 | Last updated: Mar 20, 2025

Sample Question
Find the differential dy of the given function. y= 3x 2 - 4

40x dx

12x dx

6x dx

36x dx

Test your knowledge about Existence Theorems

Existence theorems regroup any mathematical or scientific statement beginning with "there exists...", or "for all x,y there exists...", etc. In other words, it ...

Questions: 10 | Attempts: 139 | Last updated: Mar 19, 2025

Sample Question
What is constructive mathematics?

It is the continuity of a function such as a sin x proven as a constructive bound on the modulus of continuity

It is the stagnation of a function such as a sin x proven as a constructive bound on the modulus of continuity

It is the improvement of a function such as a sin x proven as a constructive bound on the modulus of continuity

It is the continuity of a function such as a tan x proven as a constructive bound on the modulus of continuity

Foundations of Existential Quantifiers Quiz

Ready to get comfortable with the “there exists” symbol in logic? In this quiz, you’ll work with the existential quantifier (∃), learn exactly when a statem...

Questions: 15 | Attempts: 11 | Last updated: Dec 12, 2025

Sample Question
Which symbol represents "there exists"?

∀

∃

→

¬

All Existential Statements Quizzes

Validity And Models Quizzes

2.2 The Logic Condition

Quiz yourself on the terms and concepts you learned in this section.

Questions: 5 | Attempts: 378 | Last updated: Oct 03, 2025

Sample Question
If an argument has false premises then it violates the Logic Condition.

True

False

Validity, Satisfiability, and Semantic Entailment Quiz

Are you ready to see how logical arguments really work “behind the scenes”? In this quiz, you’ll explore what it means for an argument to be valid in predicate lo...

Questions: 15 | Attempts: 14 | Last updated: Dec 12, 2025

Sample Question
When is an argument in predicate logic valid?

The conclusion is true in every model.

At least one premise is true in every model.

Whenever all premises are true in a model, the conclusion is also true in that model.

The premises are true in at least one model.

Models, Quantifiers, and Argument Evaluation Quiz

Think you can tell when a quantified argument really holds in all situations? In this quiz, you’ll test your understanding of validity using familiar patterns like “All...

Questions: 15 | Attempts: 12 | Last updated: Dec 12, 2025

Sample Question
The argument “All humans are mortal. Socrates is a human. Therefore Socrates is mortal.” is:

A valid deductive argument

Invalid

A fallacy

An analogy

All Validity And Models Quizzes

Predicate Logic Quizzes, Questions & Answers

Popular Predicate Logic Topics

Predicate Statements Quizzes

Logical Quantifiers Quizzes

Universal Statements Quizzes

Existential Statements Quizzes

Validity And Models Quizzes

Top Trending Predicate Logic Quizzes