1
the invalidity of sth
常用结构，后接被判断为无效的对象（如论证、结论等）。
The invalidity of his argument was immediately apparent.
他的论证的无效性立即显而易见。
逻辑无效；推理不成立
invalidities — plural of invalidity
先理解核心含义，再看它在真实句子里的用法。
逻辑无效；推理不成立
illogicality as a consequence of having a conclusion that does not follow from the premisses
The invalidity of his argument was immediately apparent.
他的论证的无效性立即显而易见。
此处特指逻辑推理上的无效，不是泛指失效或病弱。
无效的状态；缺乏有效性。
The state of being invalid; lack of validity.
The teacher explained the invalidity of the argument by showing that the conclusion did not follow from the evidence.
老师通过说明结论并非源于证据，解释了该论证的无效性。
You cannot prove the invalidity of his reasoning just because you disagree with the result.
你不能仅仅因为不认同结果，就证明他的推理无效。
The article pointed out several invalidities in the popular explanation of the economic trend.
这篇文章指出了对该经济趋势的流行解释中的几处无效推理。
常用结构，后接被判断为无效的对象（如论证、结论等）。
The invalidity of his argument was immediately apparent.
他的论证的无效性立即显而易见。
所有格形式，语气较正式；实际使用中更常说 the invalidity of sth。
The argument's invalidity was soon recognized.
该论证的无效性很快被认识到。
Not this
The password is invalidity.
Use this
The password is invalid.
invalidity 是名词，不能放在 be 动词后作表语形容词；表达“某物无效”要用形容词 invalid。若想用名词，可说 the invalidity of the password。
Not this
The new evidence can invalidity the conclusion.
Use this
The new evidence can invalidate the conclusion.
invalidity 是名词，不能用在情态动词 can 后作动词；表达“使……无效”要用动词 invalidate。can 后接动词原形，所以应写 can invalidate。
Focus on the distinctions below. Other candidates are kept compact until a reliable usage note is available.
逻辑无效；推理不成立
The philosopher demonstrated the logical invalidity of the argument.
这位哲学家指出了该论点的逻辑无效性。
主张无效；说法不成立
The invalidity of his claim became obvious after a quick check.
经过快速核查，他的主张显然不成立。
宣布……无效
The court declared the invalidity of the resolution.
法院宣布该决议无效。
合同无效
The lawyer argued for the invalidity of the contract.
律师主张该合同无效。
前提不成立
The invalidity of the premise undermines the entire theory.
前提不成立破坏了整个理论。
形式无效
Formal invalidity can be shown by a counterexample.
形式无效可以通过反例来表明。
Use invalidities naturally, then get feedback on meaning, tone, grammar, and phrasing.
Revisit a common error or keep this word in your review list.
联想 invalid（无效的/病弱者）加名词后缀 -ity，就是“无效；病弱”，像病弱者失去劳动能力。
语域：formal 常见场景：formal logic、legal argumentation、academic writing 这个词表示论证或推理不成立，通常用于逻辑学、哲学和法律等正式书面语境；日常口语中更常说 not valid 或 doesn't hold。
复数形式为 invalidities。
Dictionary facts from ECDICT, WIKTIONARY.