Science and philosophy are two sides of the same coin: the basic building blocks of how we perceive the world around us. Both need each other. Logic is often taught in maths classes. It's a bit like how to build a program (in this metaphor, it's how our brains percieve and interact through the world), a little but of intent, and a little bit of code.

Math and formal logic are effectively equivalent and philosophy without conditional logic is useless. Scientifically useful philosophy is just "explorative logic" or something like it