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.
उदाहरण
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.
शब्द परिवार
याद रखने का तरीका
Think of 'Contra' (against/opposite) and 'Pose' (place). You are placing the 'opposite' (negated) version of the terms in the opposite order.
त्वरित क्विज़
To verify the truth of the conditional statement, the logician decided to ________ the premise.
सही!
सही उत्तर है: contrapose
उदाहरण
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.
शब्द परिवार
सामान्य शब्द संयोजन
सामान्य वाक्यांश
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
अक्सर इससे भ्रम होता है
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.
इस्तेमाल की जानकारी
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.
सामान्य गलतियाँ
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.
याद रखने का तरीका
Think of 'Contra' (against/opposite) and 'Pose' (place). You are placing the 'opposite' (negated) version of the terms in the opposite order.
शब्द की उत्पत्ति
Derived from the Latin 'contrapositus', the past participle of 'contraponere', meaning 'to place against' or 'to set opposite'.
व्याकरण पैटर्न
सांस्कृतिक संदर्भ
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.
त्वरित क्विज़
To verify the truth of the conditional statement, the logician decided to ________ the premise.
सही!
सही उत्तर है: contrapose
संबंधित शब्द
complement
A2A thing that completes or brings to perfection something else. In grammar, it refers to a word or phrase that follows a verb and provides more information about the subject or object.
compound
A2Describes something that is made of two or more separate parts or elements joined together. It is often used to talk about words, sentences, or chemical substances that have multiple components.
conceive
A2To form an idea, plan, or concept in the mind. It is also the medical term used to describe when a woman becomes pregnant.
confer
A2To discuss something with other people in order to reach a decision or exchange ideas. It can also mean to officially give an honor, title, or degree to someone.
conform
A2To behave according to rules, standards, or what is expected by a group of people. It means to fit in or act in a way that matches others.
consecutive
A2Following one after another in a continuous series without any breaks. It describes things that happen in a logical order, like numbers (1, 2, 3) or days (Monday, Tuesday, Wednesday).
consistency
A2Consistency is the quality of always acting or behaving in the same way. it also describes how thick or smooth a liquid or substance is.
disclude
B1Describing a state where someone or something is left out, omitted, or not allowed to participate in a group or activity. It refers to the condition of being kept apart from a whole or a set.
antiformous
B1Describes a shape or structure that is curved or folded upwards like an arch. It is most often used in geology and geometry to describe a convex surface.
interspect
B1Describing a person who is thoughtful and focused on their own internal thoughts and feelings. It refers to the act of looking inward to examine one's own emotions and motives rather than focusing on external things.
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