'All children are not greedy' is an example of which proposition?
Particular Negative
Categorical propositions are classified on two dimensions: quantity (universal or particular) and quality (affirmative or negative), giving four standard types — A (universal affirmative, All S are P), E (universal negative, No S is P), I (particular affirmative, Some S are P) and O (particular negative, Some S are not P).
The statement is 'All children are not greedy.' Although it begins with the word 'All', in standard logical reading this construction does not mean 'No child is greedy'. It is understood to deny that greediness holds of all children, i.e. it asserts that at least some children are not greedy. In logical form this is 'Some children are not greedy', which is the O proposition.
An O proposition is particular in quantity (it speaks of some, not all) and negative in quality (it denies the predicate of the subject). Therefore it is a particular negative proposition.
It is not a universal affirmative (that would be 'All children are greedy'), nor a universal negative (that would be 'No children are greedy'), nor a particular affirmative (that would be 'Some children are greedy'). Reading the given sentence as denying greediness of some children makes it a particular negative.
Correct answer: Particular Negative
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