Necessity and Sufficiency

Phenomena in the world are related to one another in all sorts of complicated ways. Sometimes we can say very generally whether one thing is necessary for something else or whether it is merely sufficient. The concepts of necessary and sufficient conditions help us understand and explain the different kinds of connections between concepts, and how different states of affairs are related to each other.

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Exercise #1

How would you rewrite these claims in terms of necessary and / or sufficient conditions? Click each box to reveal the answer.

Exercise #2

Exercise #3

How are these conditions related to each other? Click each box to reveal the explanation.

Source: Joe Lau and Jonathan Chan,
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Last modified: Tuesday, September 10, 2019, 4:13 PM