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.
Step-by-step explanation:
These are the specific property of axiomatic system:
- consistency
- independence
- completeness
These are the three properties of axiomatic system. A consistent system is a system that will not be able to prove both a statement and it's negation. A consistent system will not contradict itself.
hope it helps
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