LogFAQs > #933160478

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TopicIf all fish are mammals, and some mammals are poisonous,
Amuseum
01/19/20 1:50:58 AM
#21:


you can't make that conclusion at all. drawing fallacious diagrams from faulty deductions don't make your conclusions any more logical.

from your given premises, there are several possible conclusions.

1. None of the fish are poisonous. (None of the poisonous mammals are fish.)
2. Some of the fish are poisonous. (Some mammals, including some fish, are poisonous.)
3. All of the poisonous mammals are fish. (Fish are the only mammals that poison.)
4. All of the fish are poisonous. (The set of fish is a subset of poisonous mammals.)
5. All fish are poisonous, and they are the only poisonous mammals. (The set of fish and set of poisonous mammals are identical.)

Switching the statements around would turn out true:

If all fish are mammals, and some fish are poisonous, then some mammals are poisonous.
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