Complementarity

In The Unreasonable Effectiveness of Quantum Physics in Modern Mathematics, Robbert Dijkgraaf make a point about complemetarity of math and physics which can be taken as a starting point for a deeper understanding of the bridging of different domains of knowledge.

Complemetarity of quantum/wave, quantum/classical models.

Signs and Semiotics vs. Statistics and Information

Math vs. Physics.

Picture from talk:

Mathematics/Physics Complemetarigy

Yin/Yang shape with "Mathematical Rigor" on the upswept dark half, and "Physical Intuition" on the down/light part on the left side.

Duality in general, and just how does thirdness fit in?