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Explain what is meant by "p is a necessary condition for q" and translate the statement into formal logic.

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Final answer:

When p is a necessary condition for q, it means that p must be true if q is true. In formal logic, this is represented as 'If q, then p' or 'q → p'.

Step-by-step explanation:

Step-by-step explanation:

When we say that 'p is a necessary condition for q,' it means that p must be true if q is true. In other words, p is a requirement for q to be true. This can be represented in formal logic as: 'If q, then p' or 'q → p'.

Example: Let's consider the statement 'If it is raining, then the ground is wet.' Here, we can say that 'it is raining' (p) is a necessary condition for 'the ground is wet' (q). If it is not raining, the ground cannot be wet.

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