Mathematics (Neo-Platonism)
There is a certain mathematical perfection to the world - this mode of thought is not compatible with strict Aristotelianism. Scholastic Aristotelianism is the only avenue for pursuing natural knowledge, since the 13th century (Aquinas). This doesn't mean that mathematics was ignored in the schools since the 13 hundreds - mathematics was studied 'big time' in the universities across Europe.
Emphasis on the practical applicability of the mathematical sciences - mixed mathematical because they are applicable over a mix of disciplines. Astronomy, music, navigation, engineering - all of these use practical mathematics.
When it comes to questions like: What's out there? ETC
These mixed mathematical sciences are subordinate to natural law (philosophy/philosophy of nature/understanding how the world works). And Aristotelian thought dominates.
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