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Cancellability is the ability of cancelling a conclusion, logically/inferentially derived from a [set of] premise[s] without causing a logical error.

A presupposition necessarily holds (its truth is taken for granted) independently of the truth value of a proposition. ex.1. "the king of France is bald" (the existence of "the king of France" is presupposed here - in this particular case, the presupposition is called "existential presupposition") ex 2. "I am glad that you came" --> the presupposition is "you came"

If we try cancelling these presuppositions we see that we end up with phrases that sound irrational and are necessarily unacceptable:

*The king of France is bald, but there is no King of France

*I'm glad that you came, but you didn't come

An implicature, on the other hand, is the conclusion of a reasoning, which can be called "nonmonotonic" i.e. you can add further conclusions, cancelling the previous ones, without causing any logical problems. Paul Grice was the one who first noted that "cancellability" is one of the 5 main characteristics of implicatures. An implicature is cancellable, because some of its premises are inferences which have to do with pragmatic knowledge (knowledge about the world or the specific context of discussion) and not with purely logical operations.

Here's an example:

John says: "It's a bit chilly in here"

Mary knows that the window is open in that room and she also knows that John knows that the window is open, she also knows that she shares the common assumption with John that if they close the window, it will stop being chilly [all these are premises depending on the general knowledge of Mary]

So Mary infers that what John implied by the phrase "it's a bit chilly in here" is "I would like you to close the window" (this is the implicature)

However, if John decides to cancel that implicature, although it would be a little bit unexpected, it wouldn't be unacceptable.

So John can say "It's a bit chilly in here, but I don't want you to close the window" (he can add further explanations such as "I like the fresh air that's coming in" or "I 'd rather wear one more sweater") and the phrase will be perfectly fine.

So there you have the basic difference between presupposition and implicature: presuppositions are NOT cancellable, while implicatures are.

Moving on to entailments, they are propositions, logically following the initial proposition, so, like presuppositions, they cannot be cancelled either. The rule for entailment is that if p entails q, then if p is True q is necessarily true as well [symbolised p--> q].

CAVEAT: Applying the cancellability test to entailments, is a bit different than applying it for presuppositions. [as we saw in the examples given above for the cancellability of presuppositions] If r presupposes s the phrase that you want to test for its acceptability, is of the form "r but not s" (which, as we saw, is always unacceptable). However, when you test cancellability of entailments you need a more complex phrase: if p entails q, then you have to test a phrase such as "p --> q AND p is true but q is false" (which is also going to be unacceptable)

Example: if someone is a man, then he is mortal.

In order to apply the cancellability test, we need to form the phrase: "If someone is a man, then he is mortal and Socrates is a man but he is immortal", which is obviously unacceptable.

To sum up: Implicature--> cancellable, Presupposition and entailment--> non cancellable.

Additionally, if we need to distinguish between Presupposition and entailment (which are both noncancellable), there is one more test we can apply and this is negation test:

Presuppositions

I am glad that you came (presupposition : you came)

+Negation: I am NOT glad that you came (presupposition still holds: "you came")

Entailment

If someone is human then he is mortal and Socrates is human (entailment: Socrates is mortal)

+Negation: If someone is NOT human then he is mortal and Socrates is human (it is NOT entailed that Socrates is mortal)

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Use entail in a sentence?

Entailment can be used in many different ways. Long hours at school are an entailment of a school career. In linguistic it is a relationship between two sentences such that the first is true an the second must also be true. Her husband drives her to school everyday and Her husband knows how to drive.


Is addictable a word?

There are two ways of acknowledging something as a 'word'. If it occurs in a recognised dictionary, then it is a word (this is the easy way). But something which isn't in any dictionary can still be a word, if a large number of natural speakers of a language use it and understand it in their everyday conversation. In the 1970's 'latte' wasn't in any English dictionary; but everybody in Berkeley, and most people in Seattle, knew what a 'latte' was:- so it was a 'word' for them. There is no mention of 'addictable' in the full text of the Oxford English Dictionary (last print edition):- so most people would not accept 'addictable' as a normal English word. You can always make a case that any word which fluent English speakers use and understand is a word (whether it is in a dictionary or not): but I don't think you can do that here. If 'addictable' existed, would it be connected to the modern meaning of addict ('person enthralled by a narcotic substance') or to one of the older meanings(' property patient of entailment, particularly by legal edict'). Since the word isn't in any dictionary I know of, and I can't make out what it means, I don't think you can call it a word.


Related Questions

What presuppositions, entailments, and implicatures can be inferred from the statement "I will attend the party if my friend is there"?

The statement "I will attend the party if my friend is there" implies that the speaker's attendance is dependent on their friend being present. This suggests a presupposition that the friend's presence is important to the speaker. The entailment is that if the friend is not there, the speaker will not attend the party. The implicature is that the speaker values their friend's company and may not enjoy the party as much without them.


Can you use 'entailment' in a sentence?

Part of the estates' entailment is the family zoo.


What is a sentence using entailment?

An example of entailment in a sentence is, "His resignation had political entailments."


What is Entailment theory of causality?

It is the empirical theory of Causality as propounded by hume.


How does downward entailment impact the logical relationship between statements in a given argument?

Downward entailment is a logical relationship where if a statement is true, then any more specific statement derived from it must also be true. In an argument, downward entailment helps to establish the validity and coherence of the statements made, ensuring that the conclusions drawn are logically consistent with the premises provided.


What is a Government payment that is aimed at achieving some public benefit called?

entailment


What is the issue with Walter Cunningham's entailment?

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Use entail in a sentence?

Entailment can be used in many different ways. Long hours at school are an entailment of a school career. In linguistic it is a relationship between two sentences such that the first is true an the second must also be true. Her husband drives her to school everyday and Her husband knows how to drive.


After Scout talks to Mr Cunningham about Walter and the entailment of his farm what does he do?

After Scout talks to Mr. Cunningham about Walter and the entailment of his farm, she diffuses a potentially dangerous situation by addressing Mr. Cunningham as an individual, reminding him of their shared history. This personal connection prompts Mr. Cunningham to reconsider his decision to harm Atticus.


Why is entailment bad for farmers like the cunninghams?

Entailment is bad for farmers like the Cunninghams because it restricts their ability to make changes to their land or assets, limiting their economic opportunities. They are unable to sell or make decisions about their property without consulting the family members who will inherit it, making it difficult for them to improve their financial situation or adapt to changing circumstances. This system can perpetuate poverty and prevent them from breaking free from a cycle of hardship.


What does Scout mean by entailment in To Kill A Mockingbird?

Entailment is an old-fashioned form of bequeathing real property. Entailed land (aka Fee Tail) can only be inherited by the owner's issue (legitimate children). It was a way to keep an estate intact for multiple generations. Since the land could not be sold or easily borrowed against it left some individuals rich in land but still heavily in debt. Only four US States recognize Fee Tails and most European nations have done away with them. The few nations that still recognizes entailed estates only recognizes existing ones and do not allow new ones to be created. Cunningham had been to Atticus to resolve an entailment problem. I suspect that the land Cunningham had was entailed, meaning that he was not the clear owner of it and thus could neither sell it nor mortgage it to raise money. Another possibility is Cunningham risked losing land if he was not a clear heir to the original owner (i.e. oldest child or was illegitimate). Later on when the lynching party gathers outside the jail, Scout mentions that entailments are bad.


Who is the father the scouts entailment classmates to kill a mockingbird?

Atticus Finch is the father of Scout, the main character in "To Kill a Mockingbird". He is a lawyer in the story and is responsible for teaching Scout important lessons about morality and compassion.