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.
مثالها
3 از 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.
خانواده کلمه
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
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.
خانواده کلمه
ترکیبهای رایج
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
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.
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
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
subcapure
C1Relating to a secondary or subordinate stage of capturing data, images, or specimens within a larger primary process. It describes a nested acquisition mechanism used to record specific subsets of information under a broader set of parameters.
triunior
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pretracttion
C1To exert a forward-moving force or tension on a physical structure, usually as a preliminary step in a technical or medical process. It involves drawing a component toward the front or applying tension prior to a primary action to ensure proper alignment or stability.
microprivic
C1To selectively remove or strip away minuscule, often essential, components from a larger structure or system. This verb describes a process of highly precise deprivation occurring at a microscopic or granular level.
extraprehendery
C1Describing knowledge or insights that lie beyond the standard limits of human perception or intellectual grasp. It often refers to concepts that are highly abstract, metaphysical, or so complex that they require a specialized or transcendent way of thinking to be understood.
circumscendic
C1Describing a movement or path that involves climbing or scaling around the perimeter of an object. It often refers to a circuitous upward trajectory used to bypass obstacles or cover the entirety of a vertical structure.
rematerine
C1To re-incorporate or restore something to its original material or essential state, especially after it has been fragmented, digitized, or abstractly altered. It describes the process of making an abstract concept or a digital set of data tangible and physical once more.
explicine
C1Describes 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
C1Describing an attitude or strategy characterized by an unyielding, steadfast commitment to enduring challenges over a long period. It refers to the quality of being resolutely persistent despite significant hardship or delay in results.
dishospation
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