Related Experiment Video

Updated: Apr 11, 2026

Infinium Assay for Large-scale SNP Genotyping Applications
13:33

Infinium Assay for Large-scale SNP Genotyping Applications

Published on: November 19, 2013

40.1K

Large infinities and definable sets

J P Aguilera1, J Bagaria2,3, P Lücke4

  • 1Institut für diskrete Mathematik und Geometrie, Technische Universität Wien, Vienna 1040, Austria.

Proceedings of the National Academy of Sciences of the United States of America
|April 9, 2026
PubMed

Keywords:
Axiom of Choicelarge cardinal axiommathematical logicphilosophy of mathematicsset theory

More Related Videos

Setting Limits on Supersymmetry Using Simplified Models07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

9.0K
An Operant Intra-/Extra-dimensional Set-shift Task for Mice08:35

An Operant Intra-/Extra-dimensional Set-shift Task for Mice

Published on: January 22, 2016

12.9K

Related Concept Videos

Indeterminate Products01:29

Indeterminate Products

Indeterminate forms also arise in the evaluation of limits involving products, particularly when one factor approaches zero while the other tends to positive or negative infinity. This situation, commonly described as a zero-times-infinity form, does not have an immediately interpretable outcome. Depending on how the factors behave relative to one another, the limit of such a product may be zero, infinite, or a finite nonzero value.Product Limits and Algebraic RewritingTo analyze limits of this...
126
Improper Integrals: Infinite Intervals01:29

Improper Integrals: Infinite Intervals

An integral is classified as improper due to an infinite interval when at least one of its limits of integration extends to positive or negative infinity. In such cases, the region under the curve is unbounded, and standard techniques for evaluating definite integrals are not directly applicable. Instead, the improper integral is defined through a limiting process that allows one to determine whether the accumulated area remains finite despite the infinite domain.Application to Exponential...
253
Indeterminate Forms and L’Hôpital’s Rule01:27

Indeterminate Forms and L’Hôpital’s Rule

Indeterminate forms occur when evaluating limits leads to expressions that cannot be directly interpreted, such as zero divided by zero or infinity divided by infinity. These results do not describe the true behavior of a function near a given point and instead signal that additional analysis is required. L’Hôpital’s Rule provides a reliable method for resolving such ambiguities by replacing the original functions with their derivatives.Core Idea of L’Hôpital’s RuleL’Hôpital’s...
217
The Precise Definition of a Limit01:27

The Precise Definition of a Limit

Understanding the formal definition of a limit is essential for precise mathematical analysis. This concept allows us to rigorously determine how a function behaves near a particular point without relying on ambiguous notions such as "getting close." The ε-δ definition plays a foundational role in calculus, ensuring analytical clarity and logical consistency in limit evaluation.The formal definition states that the limit of a function f(x) as x approaches a is L, written asif for...
431
Limits at Infinity01:24

Limits at Infinity

The function that decreases as the input becomes very large provides a clear example of how mathematical functions can behave at extreme values. When the input increases continuously, the output becomes smaller and smaller, getting closer to a particular fixed value. Although the output never actually reaches this value, it moves nearer to it without limit. This behavior is a fundamental concept in understanding how functions behave as the input grows indefinitely. The graphical representation...
412
Inequalities01:28

Inequalities

Inequalities express mathematical relationships where two values are not equal and are compared using symbols such as <, >, ≤, or ≥. These expressions define a range of possible solutions rather than a single value. Interval notation provides a concise way to express these solution sets, especially when the variable spans a continuous range. An open interval, written as (a, b), excludes the endpoints, while a closed interval [a, b] includes them. There are also half-open...
412