Because I only know Words; and
Only know numbers through words.
The Math and numbers may precede Word and words.
I do not recall which nor even whom could knowingly say either way.
What You call approximation (is still assumptive);
we in words call assumption (often purports as axiomatic);
those in logic call axiomatic (remains approximative).
To depower the danger of improper axioms and assumption:
Explicitly say It outloud in and with thoughtful dispassion,
then wait to feel any feedback of Its resonance with those able to hear.
Assumption then becomes mere assertion
-a simple contention made available for public consumption and comment.