C1 verb رسمی

contraposable

/ˌkɒntrəˈpoʊz/

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.

مثال‌ها

3 از 5
1

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'.

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'.

2

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.

3

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.

خانواده کلمه

اسم
contraposition
Verb
contrapose
قید
contrapositively
صفت
contraposable
مرتبط
contrapositive
💡

راهنمای حفظ

Think of 'Contra' (against/opposite) and 'Pose' (place). You are placing the 'opposite' (negated) version of the terms in the opposite order.

آزمون سریع

To verify the truth of the conditional statement, the logician decided to ________ the premise.

درسته!

پاسخ صحیح این است: contrapose

مثال‌ها

1

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'.

everyday

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'.

2

The philosopher sought to contrapose the central axioms of the theory to test for any internal logical inconsistencies.

formal

The philosopher tried to invert and negate the theory's main rules to check for logical errors.

3

So, if we contrapose that idea, you're basically saying that if we don't finish this now, we'll definitely fail later.

informal

If we look at the logical opposite, you're saying that failing to finish now leads to certain failure later.

4

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.

academic

Logic students learn that switching and negating 'if P then Q' to 'if not Q then not P' is a valid way to reason.

5

We need to contrapose our growth projections against the risk factors to see if the inverse logic still supports our investment.

business

We should evaluate our growth plans by looking at the negative conditions to see if the investment still makes sense.

خانواده کلمه

اسم
contraposition
Verb
contrapose
قید
contrapositively
صفت
contraposable
مرتبط
contrapositive

ترکیب‌های رایج

contrapose a statement to logically invert and negate a statement
logically contrapose to apply contraposition using formal logic
contrapose the conditional to negate and swap the parts of an 'if-then' statement
contrapose a proposition to subject a formal proposition to contraposition
contrapose the premise to test the logical inverse of an initial assumption

عبارات رایج

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

اغلب اشتباه گرفته می‌شود با

contraposable vs juxtapose

Juxtapose means to place things side by side for comparison, while contrapose is a specific logical operation of negating and reversing.

contraposable vs transpose

Transpose means to switch the positions of two things, but contrapose also requires the negation of those things.

📝

نکات کاربردی

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.

⚠️

اشتباهات رایج

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.

💡

راهنمای حفظ

Think of 'Contra' (against/opposite) and 'Pose' (place). You are placing the 'opposite' (negated) version of the terms in the opposite order.

📖

ریشه کلمه

Derived from the Latin 'contrapositus', the past participle of 'contraponere', meaning 'to place against' or 'to set opposite'.

الگوهای دستوری

Transitive verb: requires a direct object (e.g., 'to contrapose a theorem'). Regular conjugation: contraposes, contraposed, contraposing.
🌍

بافت فرهنگی

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.

آزمون سریع

To verify the truth of the conditional statement, the logician decided to ________ the premise.

درسته!

پاسخ صحیح این است: contrapose

لغات مرتبط

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extraprehendery

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explicine

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Describes information, structures, or concepts that are inherently self-explanatory and unfold their meaning clearly without the need for external interpretation. It refers to a state of being naturally transparent or methodically detailed in a way that precludes ambiguity.

comdurist

C1

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dishospation

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