Question
Translate the following statements to the standard form propositions.
i) He does not like tea.
ii) Every Indian citizen is a voter.
iii) All cats meow.
iv) If it is a Tiger, then it is an animal.
v) Unless he gives an application, his request will not be entertained.
Answer :
Word Count : 253
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Skip in 10
The process of translating ordinary language statements into standard form propositions involves expressing them in a clear, logical structure suitable for analysis. i) “He does not like tea” can be translated into the standard form proposition as a negative categorical statement: He is not someone who likes tea. Symbolically, if T represents “likes tea,” the proposition becomes ¬T. ii) “Every Indian citizen is a voter” is a universal affirmative statement. In standard form, it is: All Indian citizens are voters. Symbolically, if I(x) represents “x is an Indian citizen” and V(x) represents “x is a voter,” the proposition becomes
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