4 ms·
The only thing wrong with decimal from a mathematicians point of view is that an unnecessary (and unprincipled) choice of base is made. A more principled choice
by chess93 8y ago
The only thing wrong with decimal from a mathematicians point of view is that an unnecessary (and unprincipled) choice of base is made. A more principled choice would be base 2, base 3 or base e. Base e makes sense because it is the most efficient base system under some metric [1]. Base 3 is the closest integer base to e and the most efficient integer base (although a more through analysis would compare base 2 and base 3 to see which one is more efficient because we can not just assume base 3 is better than base 2 because it is closer to e.) base 2 is the smallest base that really makes sense to use so that would be another option is and arguably more principled than base 10.
Most mathematicians are not concerned with which base the number system is in and are not really restricted in working in base 10. So in some sense almost all mathematicians don't really "use" decimal. In that regard, there are many possible interpretations to your question so probably many possible answers.
In other words, choosing to use base 10 instead of base 2 or 3 is like choosing to use python for your project because its easy, familiar and gets the job done rather than choosing a specialty language that would be "better" but harder to use.
[1]https://math.stackexchange.com/questions/446664/what-is-the-most-efficient-numerical-base-system https://math.stackexchange.com/questions/446664/what-is-the-...