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.
예시
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.
어휘 가족
암기 팁
Think of 'Contra' (against/opposite) and 'Pose' (place). You are placing the 'opposite' (negated) version of the terms in the opposite order.
빠른 퀴즈
To verify the truth of the conditional statement, the logician decided to ________ the premise.
정답!
정답은: contrapose
예시
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.
어휘 가족
자주 쓰는 조합
자주 쓰는 구문
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
자주 혼동되는 단어
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.
사용 참고사항
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.
자주 하는 실수
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.
암기 팁
Think of 'Contra' (against/opposite) and 'Pose' (place). You are placing the 'opposite' (negated) version of the terms in the opposite order.
어원
Derived from the Latin 'contrapositus', the past participle of 'contraponere', meaning 'to place against' or 'to set opposite'.
문법 패턴
문화적 맥락
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.
빠른 퀴즈
To verify the truth of the conditional statement, the logician decided to ________ the premise.
정답!
정답은: contrapose
관련 단어
example
A1An example is a specific thing or person that shows what a group or a rule is like. It is used to help explain something more clearly so that others can understand it easily.
always
A1This word describes something that happens at all times or on every occasion. It is a frequency adverb used to talk about habits, permanent truths, or repeated actions.
result
A1A result is something that happens or exists because of something else that happened before. It is often used to describe the final score of a game, the grade on a test, or the outcome of a specific action.
reason
A1A reason is a cause or explanation for why something happens or why someone does something. It is the information that answers the question 'Why?'.
research
A1A detailed study of a subject, especially in order to discover (new) information or reach a (new) understanding. It involves gathering facts and data to test a theory or solve a problem.
girl
A1A female child or a young female person from birth until she reaches adulthood. It is also commonly used to refer to a daughter or, in informal settings, to a young woman.
food
A1Food refers to any substance consumed by living organisms to provide nutritional support for the body. It can be of plant, animal, or fungal origin and contains essential nutrients like carbohydrates, fats, and proteins.
moment
A1A very short period of time or a specific point in time. It is often used to ask someone to wait briefly or to describe a significant event occurring right now.
himself
A1A reflexive pronoun used as the object of a verb or preposition when the subject is a male person or animal previously mentioned. It is also used to emphasize that a specific man or boy did something personally or without help.
force
A1Force is the physical strength or energy that is used to push or pull an object. It can also refer to an organized group of people, such as the police or a military group.
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