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Inconsistency
Definition:
The author asserts more than one proposition such that the
propositions cannot all be true. In such a case, the
propositions may be contradictories or they may be
contraries.
Examples:
- Montreal is about 200 km from Ottawa, while Toronto is
400 km from Ottawa. Toronto is closer to Ottawa than
Montreal.
- John is taller than Jake, and Jake is taller than Fred,
while Fred is taller than John.
Proof:
Assume that one of the statements is true, and then use it as
a premise to show that one of the other statements is false.
References
26 May 1995
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