contraposable
To subject a logical proposition to contraposition, which involves negating both the subject and the predicate and reversing their order. This operation is used in formal logic to derive a statement that is logically equivalent to the original conditional statement.
例句
3 / 5If you want to understand the logic, try to contrapose the statement: 'If it rains, the grass is wet' becomes 'If the grass is not wet, it did not rain'.
To understand the logic, swap and negate the parts: 'If it rains, the grass is wet' becomes 'If the grass isn't wet, it didn't rain'.
The philosopher sought to contrapose the central axioms of the theory to test for any internal logical inconsistencies.
The philosopher tried to invert and negate the theory's main rules to check for logical errors.
So, if we contrapose that idea, you're basically saying that if we don't finish this now, we'll definitely fail later.
If we look at the logical opposite, you're saying that failing to finish now leads to certain failure later.
词族
记忆技巧
Think of 'Contra' (against/opposite) and 'Pose' (place). You are placing the 'opposite' (negated) version of the terms in the opposite order.
快速测验
To verify the truth of the conditional statement, the logician decided to ________ the premise.
正确！
正确答案是： contrapose
例句
If you want to understand the logic, try to contrapose the statement: 'If it rains, the grass is wet' becomes 'If the grass is not wet, it did not rain'.
everydayTo understand the logic, swap and negate the parts: 'If it rains, the grass is wet' becomes 'If the grass isn't wet, it didn't rain'.
The philosopher sought to contrapose the central axioms of the theory to test for any internal logical inconsistencies.
formalThe philosopher tried to invert and negate the theory's main rules to check for logical errors.
So, if we contrapose that idea, you're basically saying that if we don't finish this now, we'll definitely fail later.
informalIf we look at the logical opposite, you're saying that failing to finish now leads to certain failure later.
In introductory logic, students are taught to contrapose a conditional 'if P then Q' to 'if not Q then not P' as a valid form of inference.
academicLogic students learn that switching and negating 'if P then Q' to 'if not Q then not P' is a valid way to reason.
We need to contrapose our growth projections against the risk factors to see if the inverse logic still supports our investment.
businessWe should evaluate our growth plans by looking at the negative conditions to see if the investment still makes sense.
词族
常见搭配
常用短语
contrapose the premise
to logically reverse the starting assumption
contrapose the conditional
to apply logic to an if-then statement
unable to contrapose
when a statement cannot be logically inverted
容易混淆的词
Juxtapose means to place things side by side for comparison, while contrapose is a specific logical operation of negating and reversing.
Transpose means to switch the positions of two things, but contrapose also requires the negation of those things.
使用说明
The term is primarily used in the fields of mathematics, philosophy, and formal logic. It is a transitive verb, meaning it requires a direct object, usually a statement or proposition.
常见错误
Learners often use 'contrapose' when they simply mean 'contrast' or 'contradict'. Remember that contraposing a statement creates a new statement that is logically identical in truth to the original.
记忆技巧
Think of 'Contra' (against/opposite) and 'Pose' (place). You are placing the 'opposite' (negated) version of the terms in the opposite order.
词源
Derived from the Latin 'contrapositus', the past participle of 'contraponere', meaning 'to place against' or 'to set opposite'.
语法模式
文化背景
This term is central to Western formal logic and the 'Square of Opposition', a framework used since the time of Aristotle to teach deductive reasoning.
快速测验
To verify the truth of the conditional statement, the logician decided to ________ the premise.
正确！
正确答案是： contrapose
相关词
to
A1Used to indicate the place, person, or thing that someone or something moves toward. It can also mark the recipient of an action or the limit of a range.
and
A1A primary conjunction used to connect words, phrases, or clauses that are grammatically equal. It indicates addition, a sequence of events, or a relationship between two things.
a
A1A word used before a singular noun that is not specific or is being mentioned for the first time. It is used only before words that begin with a consonant sound to indicate one of something.
that
A1This word is a demonstrative pronoun used to indicate a specific person, object, or idea that is further away in space or time from the speaker. It is also used to refer back to something that has already been mentioned or to introduce a clause that identifies something.
I
A1The pronoun 'I' is used by a speaker or writer to refer to themselves as the subject of a verb. It is the first-person singular subject pronoun in English and is always capitalized regardless of its position in a sentence.
for
A1Used to show who is intended to have or use something, or to explain the purpose or reason for an action. It is also frequently used to indicate a specific duration of time.
not
A1A function word used to express negation or denial. It is primarily used to make a sentence or phrase negative, often following an auxiliary verb or the verb 'to be'.
with
A1A preposition used to indicate that people or things are together, in the same place, or performing an action together. It can also describe the instrument used to perform an action or a characteristic that someone or something has.
he
A1A pronoun used to refer to a male person or animal that has already been mentioned or is easily identified. It functions as the subject of a sentence.
you
A1Used to refer to the person or people that the speaker is addressing. It is the second-person pronoun used for both singular and plural subjects and objects.
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