A handbook of logic by Joseph Gerard Brennan

By Joseph Gerard Brennan

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Albanians do not welcome tyranny. I I . Some dolphins can be taught to speak French. 12. A few Sweet Briar girls are not gentlewomen. 13. At least one dugong is monogamous. 14. Some of the heavy metals are not radioactive. 15. You buy life insurance only because you love somebody. 3. Invent Euler-type diagrams for the following propositions. I. Some Estonians speak Finnish. 2 . The dead alone have peace of mind. 3. Hungarians are not Slavs. 4. Mimi is not the beloved of Mario Cavaradossi. 5. Every man in the ranks carries a marshal's baton in his knapsack.

It is evident that simply because two subclasses happen to belong to one and the same class, it does not follow that they are identical with each other. Because ducks swim and you do too, it does not follow that you are a duck. ). ) . .. All labor unionists are Socialists. The middle term, "favor organization of the workers," is undistributed in each premise because it is the predicate term of an A proposition. (Review the topic of Distribution of Terms, pp. ) 4. If a term is distributed in the conclusion, it must also be distributed in its proper premise.

There are stamp collectors. Remembering that F, G, etc. stand for predicates, we may write: (3x) Fx (3x) Gx There is something which is a king. ) (There are stamp collectors. ) Now suppose we want to symbolize the classical particular affirmative or I proposition: ~ Some kings are stamp collectors. " and precede the newly formed propositional function (Fx . Gx) by the existential quantifier (3x)(Fx· Gx) That is, there is something which is both a king and a stamp collector. Of course, this notation will do for any particular affirmative or I proposition: Some butterflies are blue.

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