> Mathematics alone is sort of "sterile" when is not used within physics knowledge. Oh no, mathematics is many things. For me - a mathematician - it started wi

> Mathematics alone is sort of "sterile" when is not used within physics knowledge. Oh no, mathematics is many things. For me - a mathematician - it started with Galois' proof about the nonsolvability of polynomial equations with degree >= 5. No physics is required for this way of thinking about symmetries. Same with number theory, primes and indefinitely more things. Many gained applications to physical problems later, many not. The latter is not a sign that something is missing.