Take the following as truth: This is very economical of space and involves a clever computer ploy, but it does not provide a particularly useful synonym dictionary, for, as we all know, synonymy in language does not yield to the commutative law of mathematics; in language,  Things equal to the same thing are not (necessarily) equal to each other. 
Then the following statement: "Synonymy does not conform with the commutative law of mathematics." is true, false, or inconclusive?
Answer: False