By the most common method of counting them there are 256 deductive syllogisms. These were all identified and discussed by Aristotle more than 2300 years ago. Only 24 of these syllogisms are valid! If you use any of the other 232... you are making a mistake!
The second valid syllogism we will cover is called Camestres. In
symbols it looks like this:
1. All P's are M's.
2. No S's are M's.
3. Therefore, No S's are P's.
If we replace symbols with words we could come up with something like:
1. All people with malaria have a fever
2. No people in my traveling party have a fever
3. Therefore, no people in my traveling party have malaria.
Camestres is a valid syllogism so if the premises are true the conclusion MUST be true. The first premise above about malaria is a bit questionable but if it, and the second premise, are both true, than the conclusion MUST be true.
One more example of Camestres:
1. Good managers try to promote the careers of their subordinates.
2. Managers at Company X do not try to promote the careers of their subordinates.
3. Therefore, managers at Company X are not good managers.
Notice in this last example I modified the wording a little bit but I think you can see it still matches the pattern of Camestres.
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Copyright © 2016 by Joseph Wayne Gadway
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