C1 verb رسمي

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.

أمثلة

3 من 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.

عائلة الكلمة

اسم
contraposition
Verb
contrapose
ظرف
contrapositively
صفة
contraposable
مرتبط
contrapositive
💡

نصيحة للحفظ

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

اختبار سريع

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

صحيح!

الإجابة الصحيحة هي: contrapose

أمثلة

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.

عائلة الكلمة

اسم
contraposition
Verb
contrapose
ظرف
contrapositively
صفة
contraposable
مرتبط
contrapositive

تلازمات شائعة

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

العبارات الشائعة

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

يُخلط عادةً مع

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.

📝

ملاحظات الاستخدام

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.

⚠️

أخطاء شائعة

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.

💡

نصيحة للحفظ

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

📖

أصل الكلمة

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

أنماط نحوية

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

السياق الثقافي

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.

اختبار سريع

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

صحيح!

الإجابة الصحيحة هي: contrapose

كلمات ذات صلة

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A technical or linguistic term referring to the internal abbreviation or condensation of information within a specific system or document. It describes the act of shortening components for internal efficiency while maintaining the integrity of the overall structure.

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A large-scale system, institution, or conceptual framework that is regarded as inviolable and beyond criticism due to its perceived sacredness or fundamental importance. It typically refers to entities that are protected from alteration or scrutiny because of their massive cultural or structural status.

uncedate

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A formal and technical noun referring to a state or instance where a claim, territory, or right has not been yielded or surrendered. It describes the preservation of original status or possession despite pressure to concede or transfer control.

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To systematically modify or adapt an existing concept or object into a new form, particularly within a controlled environment or set of parameters. This verb describes the process of innovating by bridging the gap between rigorous analysis and creative invention.

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cosolvment

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Describing a substance or factor that acts in conjunction with another to facilitate the process of dissolving a solute or resolving a complex situation. In technical contexts, it refers to an auxiliary agent that enhances the solubility of a primary solvent system.

unaudless

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Describing something that is completely devoid of sound or impossible to hear. It is often used in literary or technical contexts to emphasize a profound state of silence or a lack of auditory signature.

monosomnful

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A noun referring to the physiological or habitual state of experiencing only one continuous, uninterrupted period of sleep within a twenty-four-hour cycle. It describes the quality of a monophasic sleep pattern where rest is concentrated into a single block without supplemental naps.

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