Usage pattern:
the infinity of [space/time/possibilities]; to [infinity]
The idea of the infinity of space is hard to truly imagine.
A tér végtelenségének gondolatát nehéz igazán elképzelni.
As a child, she would lie on the grass and think about the infinity of the night sky.
Gyerekként lefeküdt a fűbe, és az éjszakai égbolt végtelenségén gondolkodott.
Their love felt as if it would last for infinity.
To the bored students, the lecture seemed to go on for infinity.
An infinity of possibilities opened up once the internet became widely available.
Learner examples
The infinity of space is difficult for me to understand.
A világűr végtelenségét nehéz megértenem.
He said he would love her for infinity.
Azt mondta, hogy a végtelenségig szeretni fogja.
To me, the wait felt like infinity.
Scientists talk about the infinity of the universe.
There seemed to be an infinity of choices on the menu.
Common mistake:
Learners often confuse "infinite" (adjective) with "infinity" (noun). We say "an infinite number of stars" (adjective + noun) but "the infinity of space" (noun). Also, "infinity" is usually uncountable, so we normally do not say *"infinities"* in everyday language, even though it exists in advanced mathematical contexts.
Meaning
limitless extent or endlessness
Collocations
the infinity of space
|stretch into infinity
|seem like infinity
|to infinity
|into infinity
|an infinity of stars
Synonyms
endlessness (Focuses on having no end, especially in time, without emphasizing size or amount.)
|
limitlessness (Stresses the absence of any limits or boundaries, often in a more abstract way.)
Antonyms
finiteness (Highlights that something has fixed limits or an end, the opposite of being without limits.)
|
limit (A specific point or boundary where something stops, contrasting with having no boundary.)
Themes
science
|philosophy
|mathematics
|core_vocabulary
|time
|space
Definition
A state where something has no end or limit in space, time, or amount.
The state or quality of having no limit in space, time, amount, or number; complete endlessness.
Usage pattern:
[function] tends to infinity; [value] approaches infinity
As x approaches zero, the function tends to infinity.
Amikor x a nullához közelít, a függvény a végtelenhez tart.
In calculus, certain integrals diverge to infinity instead of giving a finite answer.
Az analízisben egyes integrálok véges eredmény helyett a végtelenbe divergálnak.
The series does not converge; instead, its partial sums grow without bound and head toward infinity.
On the graph, the curve rises sharply and seems to shoot off to infinity.
Some types of infinity in set theory are larger than others, such as the uncountable infinity of real numbers.
Learner examples
In this graph, the line goes up to infinity.
Ezen a grafikonon a vonal felfelé a végtelenbe tart.
The teacher said the limit is infinity when x goes to zero.
A tanár azt mondta, hogy a határérték végtelen, ha x nullához tart.
Some series in math grow to infinity and never stop.
A finite number is small compared to infinity.
In set theory, they compare different kinds of infinity.
Common mistake:
Learners may treat infinity as a normal number, saying things like *"divide by infinity to get zero"* as if infinity were a regular value, when in most mathematical systems it is a special concept, not an ordinary real number. They may also confuse "infinity" with "very big"; in math, infinity is not just a large number but something without any upper bound.
Meaning
mathematical unbounded value
Collocations
approach infinity
|tend to infinity
|goes to infinity
|plus infinity
|minus infinity
|countable infinity
Synonyms
unbounded value (Technical phrase that focuses on the idea of having no upper limit, common in mathematics and physics.)
|
divergent value (Used in specific mathematical contexts where a series or function does not settle on a limit and grows without bound.)
Antonyms
finite number (Any specific, limited number, which contrasts with the unbounded nature of infinity.)
|
bounded value (A value that stays within some fixed limits, opposite to a value that goes to infinity.)
Themes
mathematics
|science
|education
Definition
In math, a special idea for a value that is larger than every normal number or keeps growing without end.
In mathematics, a value or limit that is greater in magnitude than any finite number, or the state of increasing without bound.
Usage pattern:
the infinity symbol on [something]; draw an infinity symbol
She has a small infinity symbol tattooed on her wrist.
Egy kis végtelenjelet tetováltatott a csuklójára.
In this equation, the infinity symbol means the value grows without limit.
Ebben az egyenletben a végtelenjel azt jelenti, hogy az érték korlátlanul nő.
The jewelry store sells simple silver rings shaped like an infinity symbol.
Designers often use the infinity symbol to suggest something eternal or unbroken.
He drew an infinity symbol next to their initials in his notebook.
Learner examples
He drew an infinity symbol on the paper.
Egy végtelenjelet rajzolt a papírra.
The math book uses the infinity symbol in this formula.
A matematikakönyv ebben a képletben a végtelenjelet használja.
She wears a necklace with an infinity symbol.
The logo has the shape of an infinity symbol.
I see the infinity symbol on many tattoos.
Common mistake:
Learners sometimes confuse the word "infinity" (the idea) with the phrase "infinity symbol" (the sign ∞). In writing, use "infinity" for the concept and "infinity symbol" when you mean the shape or character itself.
Meaning
the symbol ∞ for infinity
Collocations
infinity symbol
|infinity sign
|draw an infinity symbol
|wear an infinity symbol necklace
|infinity tattoo
|the shape of an infinity symbol
Synonyms
infinity symbol (The standard term specifically naming the visual sign ∞ rather than the abstract idea.)
Antonyms
zero (Represents the absence of quantity, conceptually contrasting with the idea of endless quantity shown by the infinity symbol.)
Themes
mathematics
|design
|popular_culture
|science
|communication
Definition
The sign ∞ that shows the idea of infinity or no end.
The symbol ∞ used in mathematics, design, and popular culture to represent infinity or endlessness.