Friday, May 6, 2011

Disjunction, union and the sample space



Disjunction is formed when a few sentences connected by the word 'or'. Symbols used by the disjunction to represent the word 'or' is v. Thus, the disjunction of using 'pvq' to represent the sentence 'p or q'. We can interpret the word 'or' in two ways. Consider the following sentence:

p: Ahmad is a cadre PDIP
q: Syu'aib a cadre PDIP

Sentence Ahmad is a cadre of PDIP or Syu'aib is a cadre of PDIP may symbolized by p v q. Note that a possibility they can be a cadre PDIP together. In this example, we discuss about 'or' inclusive. Now consider the example

p: Ahmad is a cadre PDIP
q: Ahmad is a cadre of Democrats

In fact in our political world, it is very likely one man has two membership cadre. However, we assume each man only wanted to be a cadre in one party only. Thus, the two events are not likely to occur together. Technically, if the second sentence is true, then the combination of both false disjunction. In short one sentence mengexclude another sentence. Is called the disjunction Exclusive disjunction.

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