Let N be the set of all natural numbers and consider the power set P(N) of N.Define a function µ : P(N) → [0, ∞] as follows: If E is finite, let µ(E) = 0; if E is infinite, thenlet µ(E) = ∞. Is µ a...

Let N be the set of all natural numbers and consider the power set P(N) of N.
Define a function µ : P(N) → [0, ∞] as follows: If E is finite, let µ(E) = 0; if E is infinite, then
let µ(E) = ∞. Is µ a measure on P(N)?

Extracted text: Quetion . Lat N be the wt of all natural sbes atl cider the powvr wt PIN) od N. Delinea fuetion p: P(N)- folkoe E fnite, kt E)- i E indinite, them kt E). ea aure on P(N)