The Collaborative International Dictionary of English v.0.48:

Philomathic \Phil`o*math"ic\ (f[i^]l`[-o]*m[a^]th"[i^]k), a.
   [Cf. F. philomathique.]
   1. Of or pertaining to philomathy.
      [1913 Webster]

   2. Having love of learning or letters.
      [1913 Webster]