Question: Refer to the field C of Example 4 in Chapter 1 and on C, define the set function P as follows: P(A) = 0 if

Refer to the field C of Example 4 in Chapter 1 and on C, define the set function P as follows:
P(A) = 0 if A is finite, and P(A) = 1 if Ac is finite. Then show that
(i) P is finitely additive.
(ii) If ( is denumerable, P is not σ-additive and a probability measure.

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