RE: Do You Think Science And Philosophy Should Be Connected?
I think the mistake is in talking about "philosophy" and "science" as if it were something in itself. There are some reliable philosophers, and others who don't, there are also some reliable scientists, like others who don't.
Also, science is the daughter of philosophy. Without philosophy, there is no science.
On the other hand, mathematics is more related to philosophy than to anything else. The first man to describe himself as a "philosopher" was also the first mathematician in (west) history; Pythagoras. The fact that numbers are ideas does not help modern science either, which is fundamentally materialistic.
The "science", the "maths", the "philosophy", are all neutral. But the scientists, the mathematicians, and the philosophers, no. If we applied modern physicalism and the mathematical reductionism of modern science to all things, we would have a communist society, where the human being is simply reduced to a number, and evaluated by the material wealth that he can make.
Personally, I would not trust either philosophers or scientists, I only rely on logic and reason, which depend on no one but my own understanding.