Logic

A handbook of logic by Joseph Gerard Brennan

By Joseph Gerard Brennan

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For example, if A ("All cuttlefish are selfish") is true, then its contradictory ("Some cuttlefish are not selfish") must be false. If "Some mice have tails" is true, then its superaltern "All mice have tails" and its subcontrary "Some mice do not have tails" are undetermined E A All cuttlefish are selfish c ~ c Cl. :::l ~ ~ ~ "iii "iii Q; 2 -ro <1l :! 0 :::l Cl. :::l U) U) U) U) Some cuttlefish are selfish No cuttlefish are selfish contrary subcontrary 0 Some cuttlefish are not selfish or doubtful.

Endymion either had to die or consent to eternal sleep. 5. If sodium is put in water, it will run around burning. 6. Usually, bears hibernate. 7. Heaven is my destination, and my postal address is Kalamazoo, Michigan. 8. When you hear Russian songs do YOll suffer? 9. Thou art a philosopher. Speak to it, Horatio! 10. If the moon has no magnetic field, it cannot have a liquid core. 30 A Handbook of Logic To which of the six standard propositions (A, E, I, 0, singular affirmative, singular negative) are the following propositions most closely related?

2 ) Negate the predicate term of the obvertend by attaching the prefix "non-" to it. To negate "organic," make it "nonorganic" or "inorganic"; to negate "polite" change it to "non polite" or "impolite," etc. We should never try to handle two loose or "floating" negatives in one proposition. Statements like "No cats are not mouse hunters" are nonsense in classical logic. A Handbook of Logic Obvertend A. All poets are practical. E. No idiots are responsible. I. Some teachers are wise. O. Some phosphorus is not inflammable.

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