2

Vitamin C prevents scurvy (a disease that kills due to a lack of vitamin C). Many fruits and vegetables contain vitamin C.

What type of condition is vitamin C to preventing scurvy?

I think that vitamin C is a necessary and sufficient condition because vitamin C is required to prevent scurvy and it is enough to prevent scurvy. Would I be right I think that it is necessary and sufficient?

1

Taking (or otherwise assimilating) vitamin C is sufficient to prevent scurvy if it can never be the case that X takes vitamin C and X gets scurvy (subject to a specified time period).

Taking (or otherwise assimilating) vitamin C is necessary to prevent scurvy if it can never be the case that X gets scurvy despite taking vitamin C (again subject to a specified time period).

In the terms in which your question is set, the answer seems then to be that taking vitamin C is both necessary and sufficient to prevent scurvy.

However, there is a sufficient condition within the sufficient condition : only if X takes a sufficient amount of vitamin C will scurvy be prevented. Also the necessity condition works only if a sufficient amount of vitamin C is applied in the prevention. An insufficient quantity of vitamin C is not necessary to the prevention of scurvy since it won't prevent scurvy at all.

Nice question.

1

The difference between necessary and sufficient conditions can be explained as follows:

1) Vitamin C is a sufficient condition for preventing scurvy

This means that scurvy can always be prevented by taking vitamin C. But there may be other ways as well.

2) Vitamin C is a necessary and sufficient condition for preventing scurvy

This means that scurvy can always be prevented by taking vitamin C, and it is the only possible way.

As far as I know, scurvy is a disease caused by a lack of vitamin C. Therefore, 2 seems to be the right answer.

0

To say something is neccesary is to say that x is imposible without y. Water is neccesary for human beings to maintain life. That is take away water from this person entirely and they will die. Removing all oxygen from a person will also cause death necessarily. There is no way out of the result which is what neccesary expresses.

If there is another option to cure scurvy then vitamin c is not neccesary. If there is no way to prevent scurvy without involving vitamin c in the cure, then you are correct that there is a neccesary relationship.

Sufficent expresses that the result is possible with x as in when you do x or x is present. But also you may be able to get the result without resorting to x. You can think of the sufficent is an at least one possible answer to the result.

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Given that the vitamin C guarantees to prevent the disease then it works in the following way:

Is there other way to prevent the disease? -> C is sufficient

Is it the only way to prevent the disease? -> C is necessary (and sufficient, as it guarantees to prevent)

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