To authority, whether that of tradition or that of revelation?

Does "to authority, whether that of tradition or that of revelation" mean "to authority, whether authority of tradition or authority of revelation"?

Context:

Philosophy, as I shall understand the word, is something intermediate

between theology and science. Like theology, it consists of speculations

on matters as to which definite knowledge has, so far, been un

ascertainable; but like science, it appeals to human reason rather than

to authority, whether that of tradition or that of revelation. All definite

knowledge -- so I should contend - belongs to science; all dogma as to

what surpasses definite knowledge belongs to theology. But between

theology and science there is a No Man's Land, exposed to attack from

both sides; this No Man's Land is philosophy.