See the link Notes on “Induction in Physics and Philosophy”, especially the posts covering the later lectures.
In particular the introduction to lecture 7 is as follows:
Lecture 7 The Science of Philosophy
So far in this course we have established
- what induction is and how it is done
- induction is the same in physics and philosophy
- mathematics is essential in physics
- mathematics is inapplicable to philosophy
The conflicting role of mathematics in physics and philosophy is the “real problem of induction”. How is this reconciled?