THE SQUARE OF OPPOSITION UA All S are P UN No S are P contraries subcontraries S
ID: 3471605 • Letter: T
Question
THE SQUARE OF OPPOSITION UA All S are P UN No S are P contraries subcontraries Some S are P PA Some S are not P PN 10. Referring to the Square of Opposition: It is logically possible for both A and E-type proposition to be (true/false), and for both I and O-type propositions to be (true/false). one member of each pair is true, the other member must be false, and vice-versa? of Opposition? 11. Referring to the Square ofopposition: which pairs of propositions are logically related such that if 12. Referring to question #11 above: What is the name given to the above-described pairs on the SquareExplanation / Answer
10. The square of oppositions represent the logical relationships holding between certain propositions in virtue of their form. A and E propositions are contrary just as O and I propositions on the square of opposition which means that these Propositions cannot both be true. An A proposition, e.g., "all giraffes have spots" cannot be true at the same time as the corresponding E proposition: "no giraffes have spots”.
11. A and O propositions are related to each other such that the truth of a proposition of the form All S are P (A proposition which is a universal affirmative) implies the falsity of the corresponding proposition of the form Some S are not P( O proposition which is a particularly negation). Similarly, E proposition ( No S are P) which is a universal negation is related to I proposition , a particular affirmative ( Some S are P) such that both can’t be false at the same time.
12. On the square of opposition the pairs of A and O, and E and I are said to be in a contradictory relationship such that if one is false then the other is true.
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