Test Your Knowledge About Existence Theorems

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Anouchka
A
Anouchka
Community Contributor
Quizzes Created: 202 | Total Attempts: 658,084
| Attempts: 138 | Questions: 10
Please wait...
Question 1 / 10
0 %
0/100
Score 0/100
1. What is an existential quantification?

Explanation

The correct answer explains that existential quantification is a type of quantifier in logic. It is a logical constant that is interpreted as "there exists" or "there is at least one". This means that it is used to express the existence of at least one object that satisfies a given condition.

Submit
Please wait...
About This Quiz
Test Your Knowledge About Existence Theorems - Quiz

Existence theorems regroup any mathematical or scientific statement beginning with "there exists. . .", or "for all x,y there exists. . .", etc. In other words, it is... see morea theorem with a prenex normal form involving the existential quantifier. Do you want to take a chance and pass our quiz about this type of theorem? Try it and see how well you do. see less

2. What is a sine?

Explanation

The correct answer is "It's the trigonometric function of an angle." In trigonometry, a sine is a mathematical function that relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle. It is commonly denoted as sin and is used to calculate angles and sides in various mathematical and scientific applications.

Submit
3. What is constructive mathematics?

Explanation

not-available-via-ai

Submit
4. What is a big O notation?

Explanation

not-available-via-ai

Submit
5. What is the law of excluded middle?

Explanation

The law of excluded middle states that for any proposition, it is either true or its negation is true. This means that there is no middle ground or alternative possibility - a proposition cannot be both true and not true at the same time. This principle is fundamental in classical logic and is often used as a basis for reasoning and proof. It allows for clear and binary distinctions between truth values, simplifying logical analysis and decision-making processes.

Submit
6. What is an axiom of choice?

Explanation

The correct answer is that the axiom of choice is equivalent to the statement that the Cartesian product of a collection of non-empty sets is non-empty. This means that for any collection of sets, each containing at least one element, it is possible to choose one element from each set to form a new set. This axiom is an important tool in mathematics and has applications in various areas such as analysis, topology, and algebra. It allows for the construction of certain mathematical objects that would otherwise be impossible to define.

Submit
7. How is an axiom of choice also called?

Explanation

An axiom of choice is also known as AC.

Submit
8. What is a first-order logic?

Explanation

The correct answer is "It's a collection of formal systems used in math, philosophy, linguistics, and computer science." This answer encompasses all the disciplines mentioned in the question and accurately describes the scope of first-order logic.

Submit
9. What is the axiom of infinity?

Explanation

The axiom of infinity is one of the axioms of Zermelo-Fraenkel set theory. This axiom states that there exists at least one set, denoted as "omega," that contains the empty set and is closed under the successor function. In other words, it guarantees the existence of an infinite set in the theory. This axiom is fundamental in establishing the existence of infinite sets and is widely accepted in modern set theory.

Submit
10. What is a numerical analysis?

Explanation

Numerical analysis is a field of study that focuses on developing and analyzing algorithms that involve numerical approximation to solve problems in mathematical analysis. This involves using numerical methods and techniques to approximate solutions to mathematical problems, such as finding roots of equations, solving differential equations, and evaluating integrals. By using numerical approximation, these algorithms provide efficient and practical solutions to complex mathematical problems that may not have exact analytical solutions.

Submit
View My Results

Quiz Review Timeline (Updated): Mar 19, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 19, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Dec 25, 2017
    Quiz Created by
    Anouchka
Cancel
  • All
    All (10)
  • Unanswered
    Unanswered ()
  • Answered
    Answered ()
What is an existential quantification?
What is a sine?
What is constructive mathematics?
What is a big O notation?
What is the law of excluded middle?
What is an axiom of choice?
How is an axiom of choice also called?
What is a first-order logic?
What is the axiom of infinity?
What is a numerical analysis?
Alert!

Advertisement