infinity
infinity — 名詞
1. The condition of continuing without any boundary or stopping point, especially w
無限；無窮
沒有邊界或終點的狀態
The condition of continuing without any boundary or stopping point, especially when thinking about the universe, time, or a quantity that never ends.
Joon stared at the stars, trying to understand the idea of infinity.
Joon 凝視著星星，試圖理解無限的概念。
the idea of infinity — abstract concept
The teacher explained that infinity has no beginning and no end.
老師解釋說，無限沒有起點也沒有終點。
Otis felt a strange calm when he thought about the infinity of time.
Otis 想到時間的無窮時，感到一種奇妙的平靜。
Naoko's respect for the natural world came from imagining the infinity of the universe.
Naoko 對大自然的敬意來自於想像宇宙的無限。
- endlessness
more concrete and everyday; less abstract than infinity
- boundlessness
more formal or literary; emphasizes the lack of limits
- limitlessness
similar to boundlessness, slightly less formal
- finity
rare; the state of having limits
- limitation
different concept; refers to a specific restriction rather than the opposite of boundlessness
文法句型
the infinity of + noun (space, time, universe)
to / into infinity
用法筆記
Often used with 'of' to connect to a specific boundless thing, as in 'the infinity of space' or 'the infinity of time.' Common in philosophical, scientific, and poetic contexts.
常見錯誤
2. A very distant location that appears unreachable, commonly describing something
無盡遠處
極遠而無法到達的地方
A very distant location that appears unreachable, commonly describing something moving away until it can no longer be seen.
Gabriel watched the train move toward the mountains and disappear into infinity.
Gabriel 看著火車朝群山駛去，消失在無盡遠處。
disappear into infinity — receding beyond sight
The dirt road stretched to infinity, with no houses or cars in sight.
那條泥土路延伸到無盡遠處，看不見任何房屋或車輛。
From the hilltop, Mauricio saw the desert sand fade into infinity.
Mauricio 從山丘上看著沙漠的沙逐漸消失在無盡的遠方。
Cyrus pointed at the ocean and said the water seemed to reach into infinity.
Cyrus 指著大海，說海水似乎延伸到無盡遠處。
- the horizon
more specific; the visible line where earth meets sky
- the distance
less dramatic; simply a faraway point
- the beyond
more poetic or literary; suggests something mysterious
文法句型
into infinity
to infinity
disappear / fade / recede into infinity
用法筆記
Almost always appears in the phrase 'into infinity' following verbs of movement or disappearance such as 'stretch,' 'fade,' 'disappear,' or 'recede.'
常見錯誤
3. In mathematics, a quantity that is greater than any number that can be named, us
無窮大
數學概念，大於任何數的值
In mathematics, a quantity that is greater than any number that can be named, used in calculations about limits, series, and geometry, and shown by the symbol ∞.
Faisal learned that in calculus the symbol ∞ stands for infinity.
Faisal 學到在微積分中，符號 ∞ 代表無窮大。
symbol ∞ stands for infinity
The number line stretches in both directions without ever reaching infinity.
數線向兩邊延伸，永遠無法到達無窮大。
Stefan had to find the limit of the function as x approached infinity.
Stefan 必須求出該函數在 x 趨近於無窮大時的極限。
Christopher drew a line on the graph showing values moving toward infinity.
Christopher 在圖表上畫了一條水平線，顯示數值趨向無窮大。
- the infinite
noun form used in formal mathematics and philosophy
- limitlessness
less technical; describes the quality rather than the mathematical concept
- zero
the opposite end of the number line in some contexts
文法句型
approach infinity
toward infinity
the symbol for infinity
用法筆記
In mathematics, infinity is not a number you can add, subtract, or multiply — it is a concept describing something without an upper bound. Frequently used in calculus when discussing limits.
常見錯誤
4. An amount or number that is so big it is hard to count or even picture.
無數；大量
極大數量，難以計數
An amount or number that is so big it is hard to count or even picture.
Quan had an infinity of apps on his phone and could not pick one.
Quan 的手機裡有無數個應用程式，他不知道該選哪一個。
an infinity of [apps/choices/things] — huge quantity
Adisa discovered there were an infinity of reasons to love his new city.
Adisa 發現有無數個理由讓他愛上這座新城市。
The night sky contains an infinity of stars waiting to be discovered by scientists.
夜空中有無數的星星等待科學家去發現。
Hamza faced an infinity of questions from the curious students at the science fair.
Hamza 在科學展上面對好奇學生們的無數提問。
- countless
adjective meaning too many to count; more common in everyday writing
- myriad
more formal or literary; suggests great variety as well as number
- a huge number
less emphatic; simply means very many
文法句型
an infinity of + plural noun
用法筆記
Used hyperbolically in everyday speech to mean 'a very large number' rather than literally endless. The phrase 'an infinity of' emphasizes that the number feels overwhelming or uncountable.