1)what are the undefined terms in this axiom set?
2)is the axiomatic system consistent?why?why not? state what specific property is the given axiomatic system.
2)is the axiomatic system consistent?why?why not? state what specific property is the given axiomatic system.
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Answer:1. Things which are equal to the same thing are equal to one another
2. no, because an axiomatic system is consistent, if there is no statement such that both the statement and it's negation are axioms or theorems of the axiomatic system. An axiomatic system that does not have the property of consistency has no mathematical value and is generally not of interest.
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