# Continuity vs. Infinity: What's the Difference?

Edited by Harlon Moss || By Janet White || Updated on November 12, 2023
Continuity is t he state of being continuous or unbroken; consistency over a period of time. Infinity is the concept of something without any limit or end, often used in mathematics and philosophy.

## Key Differences

Continuity refers to the quality of something being continuous, unbroken, or consistent over time. It's often used to describe the unbroken and consistent existence or operation of something. Infinity, in contrast, is a concept that refers to something without any bounds or limits, often considered as endless or immeasurable, typically in a mathematical or abstract context.
In the context of storytelling or media, continuity refers to maintaining a consistent narrative or characterization throughout a series or a piece of work. It ensures that the story or characters do not contradict themselves over time. Infinity is not typically used in this context; instead, it's a concept found in fields like mathematics, physics, and philosophy, referring to endlessness or limitless quantity.
Continuity can also refer to the smooth transition or logical sequence of ideas, events, or processes. It's about the coherence and consistency in the progression of elements. Infinity, however, relates to the idea of something that has no end, such as time, space, or numbers. It's a concept that challenges the human understanding of limitation and finiteness.
In mathematics and science, continuity has a specific meaning, especially in calculus, where it describes a function that does not have any abrupt changes in value. Infinity in mathematics represents a value that's larger than any conceivable or assignable quantity and is often symbolized by the lemniscate (∞).
The concept of continuity is essential in various fields, including technology, where systems or operations must function consistently and without interruption. Infinity, while also important in certain fields, is more of an abstract concept, often used to explore theoretical scenarios or to describe unbounded limits.

## Comparison Chart

### Definition

Consistency or unbroken sequence
Something without any limit or end

### Typical Usage

Storytelling, processes, functions
Mathematics, physics, philosophy

### Context

Narrative consistency, logical progression
Endlessness, limitless quantity

### Field of Relevance

Calculus, technology, media
Mathematics, theoretical sciences

### Conceptual Focus

Coherence and unbroken existence
Concept of limitless or endlessness

## Continuity and Infinity Definitions

#### Continuity

In mathematics, a function that is unbroken and without abrupt changes.
The continuous function demonstrated smooth continuity across its domain.

#### Infinity

A state or quality of being infinite or having no limit.
The concept of infinity is central in cosmology.

#### Continuity

Consistency or coherence in character or action.
The movie series is known for its strong narrative continuity.

#### Infinity

In mathematics, a quantity that is larger than any assignable number.
The number line extends to infinity in both directions.

#### Continuity

The maintenance of continuous action and self-consistent detail in the various scenes of a movie or broadcast.
The film editor ensures the continuity between scenes.

#### Infinity

A point in space or time that is infinitely distant.
Some theories in physics involve the concept of a point at infinity.

#### Continuity

The state of being continuous and connected.
The project's success depended on the continuity of its team's efforts.

#### Infinity

A theoretical concept used to describe something without any bound.
Infinity is a difficult concept to grasp in practical terms.

#### Continuity

The state or quality of being continuous.

#### Infinity

The endlessness or boundlessness in time, space, or quantity.
Writers often explore the theme of infinity in their works.

#### Continuity

An uninterrupted succession or flow; a coherent whole.

#### Infinity

The quality or condition of being infinite.

#### Continuity

A detailed script or scenario consulted to avoid discrepancies from shot to shot in a film, allowing the various scenes to be shot out of order.

#### Infinity

Unbounded space, time, or quantity.

#### Continuity

Spoken matter serving to link parts of a radio or television program so that no break occurs.

#### Infinity

An indefinitely large number or amount.

#### Continuity

Lack of interruption or disconnection; the quality of being continuous in space or time.
Considerable continuity of attention is needed to read German philosophy.

#### Infinity

(Mathematics) The limit that a function  is said to approach at x = a when (x) is larger than any preassigned number for all x sufficiently near a.

#### Continuity

A characteristic property of a continuous function.

#### Infinity

A range in relation to an optical system, such as a camera lens, representing distances great enough that light rays reflected from objects within the range may be regarded as parallel.

#### Continuity

(narratology) A narrative device in episodic fiction where previous and/or future events in a series of stories are accounted for in present stories.

#### Infinity

A distance setting, as on a camera, beyond which the entire field is in focus.

#### Continuity

Consistency between multiple shots depicting the same scene but possibly filmed on different occasions.

#### Infinity

(uncountable) endlessness, unlimitedness, absence of a beginning, end or limits to size.

#### Continuity

The announcements and messages inserted by the broadcaster between programmes.

#### Infinity

A number that has an infinite numerical value that cannot be counted.

#### Continuity

The state of being continuous; uninterrupted connection or succession; close union of parts; cohesion; as, the continuity of fibers.
The sight would be tired, if it were attracted by a continuity of glittering objects.

#### Infinity

An idealised point which is said to be approached by sequences of values whose magnitudes increase without bound.

#### Continuity

Uninterrupted connection or union

#### Infinity

(uncountable) A number which is very large compared to some characteristic number. For example, in optics, an object which is much further away than the focal length of a lens is said to be "at infinity", as the distance of the image from the lens varies very little as the distance increases further.

#### Continuity

A detailed script used in making a film in order to avoid discontinuities from shot to shot

#### Infinity

The symbol ∞. Category:en:Infinity

#### Continuity

The property of a continuous and connected period of time

#### Infinity

Unlimited extent of time, space, or quantity; eternity; boundlessness; immensity.
There can not be more infinities than one; for one of them would limit the other.

#### Continuity

Uninterrupted duration or succession.
The continuity of the supply chain is crucial for the business.

#### Infinity

Unlimited capacity, energy, excellence, or knowledge; as, the infinity of God and his perfections.

#### Infinity

Endless or indefinite number; great multitude; as an infinity of beauties.

#### Infinity

A quantity greater than any assignable quantity of the same kind.

#### Infinity

That part of a line, or of a plane, or of space, which is infinitely distant. In modern geometry, parallel lines or planes are sometimes treated as lines or planes meeting at infinity.

Time without end

## FAQs

#### Does infinity exist in the real world?

Infinity is more a mathematical and theoretical concept and doesn't have a physical existence.

#### Can infinity be measured?

No, infinity by its nature is immeasurable and has no bounds.

#### Is continuity always related to time?

While often related to time, continuity can also refer to consistency in characteristics or logic.

#### Are continuity and consistency the same?

Continuity involves consistency, but it also implies an unbroken, continuous sequence or progression.

#### Can a business have continuity plans?

Yes, businesses often have continuity plans to ensure operations during disruptions.

#### Can we reach infinity?

Infinity is a concept and not a physical destination, so it cannot be reached.

#### How is continuity maintained in a film?

Through careful scriptwriting, editing, and direction to ensure consistent details and narrative.

#### Is infinity always related to space or time?

Infinity is often associated with space and time but can also apply to quantities and other abstract concepts.

#### Is continuity important in storytelling?

Yes, continuity is crucial in maintaining a consistent and believable narrative in storytelling.

#### Do scientists use the concept of infinity?

Yes, infinity is used in various scientific theories and models.

#### Can infinity be used in literature?

Yes, infinity is often used as a theme or concept in literature.

#### Can continuity refer to operations in a business?

Yes, it can refer to the ongoing, uninterrupted operation of business processes.

#### How do mathematicians represent infinity?

Infinity is often represented by the symbol ∞ in mathematics.

#### Is infinity a number?

Infinity is not a number in the traditional sense but a concept in mathematics and philosophy.

#### Is the universe infinite?

The question of the universe's infinity is still a subject of scientific debate and exploration.

#### Can a mathematical function be continuous?

Yes, a function is continuous if there are no abrupt changes in its value.

#### Is continuity necessary in music?

Continuity in music helps in creating a cohesive and harmonious piece.

#### What is a continuity error?

A continuity error is a mistake that breaks the consistent sequence or character in a story.

#### Can infinity be conceptualized easily?

Conceptualizing infinity can be challenging due to its nature of being limitless and boundless.

#### Does continuity imply a lack of change?

Continuity implies consistent progression, not necessarily a lack of change.