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Read the following axioms (i) Things ...

Read the following axioms
(i) Things which are equal to the same thing are equal to one another.
(ii) If equals are added to equals, the wholes are equal.
(iii) Things which are double of the same things are equal to one another.
Check whether the given system of axioms is consistent or inconsistent.

Text Solution

AI Generated Solution

To determine whether the given system of axioms is consistent or inconsistent, we will analyze each axiom step by step. ### Step-by-Step Solution: 1. **Understanding the First Axiom**: - The first axiom states that "Things which are equal to the same thing are equal to one another." - This means if A = C and B = C, then A must equal B. This is a fundamental property of equality. ...
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