"Contrapositive" Pronounce,Meaning And Examples
"Contrapositive" Natural Recordings by Native Speakers
"Contrapositive" Meaning
The contrapositive of a given statement is a logically equivalent statement that is formed by reversing both the hypothesis and the conclusion of the original statement. In other words, the contrapositive is obtained by swapping the "if" and "then" parts of the original statement, and also swapping the negation of the hypothesis with the negation of the conclusion.
For example, if the original statement is "If it is raining, then the streets will be wet", the contrapositive would be "If the streets are not wet, then it is not raining".
The contrapositive has the same truth value as the original statement, meaning that if the original statement is true, the contrapositive is also true, and if the original statement is false, the contrapositive is also false.
"Contrapositive" Examples
Contrapositive
A contrapositive is a method used in logic and proof theory to show that a statement is true by showing that its negation implies the negation of the other statement.
Examples:
If a student does not graduate from college, then they will not receive a degree. The contrapositive is: If a student will receive a degree, then they must have graduated from college.
If it doesn't rain, then the garden won't grow. The contrapositive is: If the garden will grow, then it must rain.
If a person is not fluent in English, then they will struggle in English-speaking countries. The contrapositive is: If a person will not struggle, then they must be fluent in English.
If a company does not invest in research, then it will not stay competitive. The contrapositive is: If a company will stay competitive, then it must invest in research.
If a solution is not acidic, then it will not dissolve metal. The contrapositive is: If a solution will dissolve metal, then it must be acidic.
In each example, the original statement is shown to be true by showing that its negation implies the negation of the other statement.
"Contrapositive" Similar Words
Contraindication
Contraindications
Contraindications are circumstances or factors that would prevent or preclude the administration of a particular treatment, procedure, or therapy. In other words, they are conditions that make it unsafe or inadvisable to undertake a specific medical or therapeutic action.
Contraindicative
Contrasticative refers to something that runs counter to or contradicts something else, often implying a contradiction or opposition. It can also imply something that challenges or undermines a prevailing idea, attitude, or theory.
Contralateral
Contralateral refers to something that is on the opposite side of the body or of a central axis. In medicine, it is often used to describe a location or movement that is on the opposite side of a person's body from a particular organ or structure. For example, the contralateral kidney is the kidney on the opposite side of the body from a given point.
Contralto
A contralto is a type of classical singing voice that is typically low-pitched and rich in tone. It is one of the six main voice types, and is characterized by its deep, warm, and full-bodied sound, often used to perform dramatic or serious roles in opera and classical music.
Contranym
A contranym is a word that has two opposite or contradictory meanings. It is also known as an autoantonym or Janus word, named after the Roman god Janus who had two faces.
Contrapasso
Contrapasso is a literary device that originated in Dante's Divine Comedy. It refers to the use of symbolism and imagery to illustrate the inverse or opposite of what is being described. In other words, contrapasso is a technique where the description of a scene, event, or character is intentionally contrasted with its actual meaning or significance. This literary device serves to highlight the irony, contrast, or moral lesson inherent in the situation.<br><br>For example, in The Inferno, Dante uses contrapasso to describe the punishment of the gluttonous, where they are forced to swallow vast amounts of fire, a reversal of their gluttonous desires for excess food. Similarly, in Purgatory, the souls of those who were greedy in life are made to rid themselves of excess baggage, illustrating the inverse of their greed.<br><br>Contrapasso is often used to add layers of meaning and depth to a narrative, challenging readers to consider multiple perspectives and interpretations. It is a powerful tool in literature and can be applied to various genres, including poetry, drama, and fiction.
Contraposition
Contraposition is a logical operation that involves swapping the antecedent and consequent of a conditional statement, while reversing the direction of the implication. In other words, it turns an "if-then" statement into an "if-not-then-not" statement.<br><br>For example, if we have a statement:<br><br>"If it rains, then the streets will flood."<br><br>The contraposition of this statement would be:<br><br>"If it doesn't rain, then the streets won't flood."<br><br>In this new statement, the antecedent ("it rains") has been swapped with the consequent ("the streets will flood"), and the direction of the implication has been reversed. This allows us to deduce that the original statement is true if and only if the contrapositive statement is true.
Contrapposto
Contrapposto is an artistic term that refers to a statuesque pose where the weight-bearing leg is relaxed and the other leg, often the left leg, is slightly tensed, with the foot resting on the ground. This stance creates a sense of balance and dynamism. In figurative art, contrapposto is used to convey emotions and movement. It is particularly associated with ancient Greek and Roman sculpture.
Contraption
Contraptions
Contraptions refer to awkward or cumbersome devices or machines that are often unsophisticated, whimsical, or impractical, typically used to achieve a specific task or solve a particular problem. They can be characterized as makeshift, improvised, or innovative, and may often be humorous or whimsical in nature.
Contrapuntal
Contrapuntal refers to a musical or artistic composition that combines multiple melodies or lines of text that intersect and interweave with each other to create a rich and complex texture. In music, contrapuntal refers specifically to the interweaving of multiple melodic lines simultaneously. In a broader sense, the term can also be applied to literature, art, or other forms of creative expression, where different elements or narratives are intertwined to create a rich and multi-layered work.
Contrapuntally
Contrapuntally refers to the combination of two or more melodies sounding simultaneously, often in a harmonious and complex way. This term originates in the realm of music, particularly classical music, where multiple independent melodies are interwoven to create a rich and textured sound. The concept of contrapuntal harmony has also been applied to other art forms, such as literature and poetry, where the juxtaposition of contrasting ideas or themes is used to create a nuanced and thought-provoking effect.
Contrapuntist
A contrapuntist is a musician who specializes in singing or playing multiple independent melodies simultaneously, typically in harmony with other voices or instruments. This refers to the art of aural counterpoint, where a musician can simultaneously perform multiple melodic lines, often to create a rich and complex sonic texture.
Contrarian
Contrariant