The distinction between universal and particular propositions is the basis of modern quantification theory.
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Chapters 6 and 7 deal with the relationship between affirmative, negative, universal and particular propositions.
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In this philosophy particular propositions are inferred from the phenomena, and afterwards rendered general by induction.
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Propositional constants represent some particular proposition, while propositional variables range over the set of all atomic propositions.
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Universal and particular propositions, by contrast, are not of simple subject-predicate form at all.
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Let us say that a person has a degree of belief of 1 in a particular proposition if he is completely convinced of its truth.
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From the Aristotelian proposition we cannot immediately infer the truth or falsehood of any particular proposition, but only the impossibility of believing both affirmation and negation at the same time.
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It does not explain why each particular proposition is wrong, but it cites earlier documents to which the reader can refer for the Pope's reasons for saying each proposition is false.
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This view differs from many types of relativism which consider the truth of a particular proposition as something that altogether cannot be evaluated with respect to an " absolute truth ", without taking into consideration culture and context.
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The meaning of the overall proposition is described as a set of abstract conditions, wherein Frank holds a certain propositional attitude, and the attitude is itself a relationship between Frank and a particular proposition; and this proposition is the possible world where the Red Sox win the next game.
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