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Unformatted text preview: Being a citizen is a necessary condition for voting (but it is not sufficient) o Sufficient ⊃ Necessary • Biconditional o If and only if o Iff o Is necessary and sufficient for o You will get a P in this class if and only if you earn a C- or better You get a P = P You earn a C- or better = C P ≡ C • Translating Compound Statements o I’ll buy an Xbox 360, and either a PSP or Nintendo DS X = I’ll buy and Xbox 360 P = I’ll buy a PSP N = I’ll buy a Nintendo DS X, and either P or N X • (P v N) o The car runs well and the motorcycle runs well, but you should be careful if you take the boat out C = the car runs well M = the motorcycle runs well Y B C and M, but Y if B (C • M) • (B ⊃ Y)...
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- Spring '08
- Jim, Necessary and sufficient condition, If and only if, Nintendo DS, citizen VC TRUE, Translating Compound Statements