infiniteness
infiniteness — 名詞
1. the quality of having no final point or edge in any direction; continuing withou
無盡
沒有邊界或終點的特性
the quality of having no final point or edge in any direction; continuing without stopping.
From the hilltop, Maeve could see the infinite rows of wheat stretching toward the horizon.
從山丘上，Maeve 看到無盡的麥田一直延伸到地平線。
spatial sense: rows of wheat stretching to horizon
The students asked an infinite number of questions during the biology field trip.
學生們在生物實地考察時問了無數個問題。
collocation: infinite number of
Sitting in the waiting room, Hamza felt the minutes stretch into an infinite line before his appointment.
坐在候診室裡，Hamza 覺得等待的時間像一條無盡的線在拉長。
Jiwoo stared at the night sky and wondered if the universe held infinite galaxies beyond what telescopes could show.
Jiwoo 仰望夜空，思索宇宙中是否有望遠鏡也看不見的無數星系。
A desert can feel like an infinite sea of sand under the midday sun.
沙漠在正午的陽光下就像一片無邊際的沙海。
- endlessness
more concrete; often used for physical extent (endlessness of the desert)
- boundlessness
slightly more formal; often used for energy, imagination, enthusiasm
- limitlessness
emphasises the absence of a fixed boundary; used for opportunities or resources
- finiteness
the quality of having a clear end or limit
用法筆記
Often describes space, time, or countable quantities (number of items). The noun form 'infiniteness' focuses on the abstract quality; the adjective 'infinite' is far more common in everyday use.
常見錯誤
2. the quality of being extremely large or great, beyond what can be measured or de
極大
極其巨大無法測量
the quality of being extremely large or great, beyond what can be measured or described easily.
Camila showed infinite patience while teaching her younger brother to read.
Camila 在教弟弟認字時展現了極大的耐心。
collocation: infinite patience
The new computer chip offered infinite possibilities for game design.
這款新電腦晶片為遊戲設計帶來了極大的可能性。
collocation: infinite possibilities
After the merger, the company seemed to have infinite resources at its disposal.
合併之後，這家公司似乎擁有極大的資源可供調配。
A good teacher draws on infinite creativity to keep every student engaged.
一位好老師需要運用極大的創意讓每個學生都投入課堂。
Naoko showed infinite energy while looking after her three young nieces for the weekend.
Naoko 在週末照顧三個年幼姪女時展現了極大的精力。
- immeasurability
more formal; used for abstract qualities like value or significance
- immensity
suggests great size but not truly without limit; more down-to-earth
- vastness
describes physical extent or scale too great to easily grasp
- limitedness
the state of being confined within a narrow range
用法筆記
Used with uncountable nouns (patience, creativity, energy) or plural nouns (possibilities, resources). Often expresses admiration or emphasis. The adjective 'infinite' is the common form; the noun 'infiniteness' is rarer and more abstract.
常見錯誤
3. the quality of not being kept within bounds by any outside rule, condition, or f
不受限
不受規則或外力約束
the quality of not being kept within bounds by any outside rule, condition, or force.
The dictator claimed infinite authority over every aspect of public life.
獨裁者聲稱對公共生活的每個方面擁有無限的權力。
collocation: infinite authority
No judge should have infinite discretion when sentencing a defendant.
任何法官在判刑時都不應擁有無限的裁量權。
Henrik's new contract gave him infinite freedom to choose his own projects.
Henrik 的新合約賦予他選擇自己專案的無限自由。
The constitution does not grant infinite power to any single branch of government.
憲法並未賦予任何一個政府部門無限的權力。
The new regulations would give the committee infinite latitude to set its own review standards.
新法規讓該委員會有極大的自主空間來制定自己的審查標準。
- unrestrictedness
more concrete; used for access, movement, or rights
- absoluteness
stronger; suggests authority that cannot be questioned or overruled
- limitedness
the state of being kept within certain boundaries or rules
- restrictedness
the state of being subject to specific controls or conditions
用法筆記
Frequently appears in political, legal, and philosophical contexts. Distinguish from Sense 1 (ENDLESS): this sense focuses on freedom from restriction, not on temporal or spatial extent.
4. in mathematics, the property of being larger than any real number that can be na
無窮
大於任何有限數值
in mathematics, the property of being larger than any real number that can be named or counted; having no final term in a series.
In Ms. Amani's calculus class, Vikram calculated the sum of an infinite series on the blackboard.
在 Amani 老師的微積分課上，Vikram 在黑板上計算了一個無窮級數的總和。
domain: infinite series in calculus
Noa showed the class that pi has an infinite decimal expansion with no repeating pattern.
Noa 向全班展示圓周率 π 擁有永不重複的無窮小數展開。
example: pi has infinite decimal expansion
In geometry class, Jason learned that parallel lines only meet at an infinite distance in Euclidean space.
在幾何課上，Jason 學到平行線在歐幾里得空間中只在無窮遠處相交。
Professor Ravindra proved to the seminar that the set of prime numbers is infinite in size.
Ravindra 教授在研討會上證明了質數集合的數量是無窮的。
Erik showed his study group that a sequence like 1, 2, 3, 4, … is called an infinite sequence.
Erik 向他的讀書小組說明 1，2，3，4…這樣的數列稱為無窮數列。
- unboundedness
used for sets or functions that have no upper limit
- non-finiteness
very technical; describes a set whose size is not a natural number
- finiteness
the property of having a measurable or countable size or value
用法筆記
Nearly always appears in technical or academic writing. The object is typically a mathematical entity (series, set, sequence, decimal). The noun 'infiniteness' is rarely used in this domain; 'infinity' is the standard technical term.
5. the abstract concept of having no limits, considered as a philosophical or scien
無限性
沒有極限的狀態
the abstract concept of having no limits, considered as a philosophical or scientific idea rather than as a description of a particular thing.
The infiniteness of the universe is a topic that fascinates both scientists and poets.
宇宙的無限性是一個令科學家和詩人都著迷的主題。
collocation: infiniteness of the universe
Reema wrote an essay about the infiniteness of time and the briefness of human life.
Reema 寫了一篇關於時間的無限與人類生命短暫的作文。
contrast: infiniteness of time vs. briefness of human life
The young child struggled to grasp the idea of the infiniteness of numbers.
那個小孩很難理解數字的無限性。
Philosophers have debated the infiniteness of the cosmos for thousands of years.
數千年來，哲學家們一直在辯論宇宙的無限性。
David found comfort in the infiniteness of the starry sky above his village.
David 在村莊上方那片夜空的無限性中找到了慰藉。
- infinity
far more common; used in both everyday and technical contexts ('infinity pool', 'infinity symbol')
- boundlessness
more poetic; emphasises lack of a visible edge
- limitlessness
suggests potential for unlimited growth or possibility
- finiteness
the quality of having a limit or end
用法筆記
This sense treats 'infiniteness' as a standalone abstract concept or topic of contemplation, not as a property of something else. Distinguish from Sense 1 (ENDLESS): sense 1 describes things that are infinite (infinite rows, infinite number), while sense 5 discusses the concept itself ('the infiniteness of the cosmos'). Distinct from Sense 4 (MATHEMATICAL): sense 4 concerns formal mathematical properties in technical contexts, while sense 5 is broader and more philosophical.