What all the FE believers in this thread do not want to understand is that maths, philosophy and science are three separate disciplines, and they cannot be intermixed any way we want.
Philosophical concepts like "oneness" have no place in either science or mathematics.
The abstract concept of number, used in maths' Group Theory, has no direct relationship with the apples used to explain to a child the equation 1+1=2, and therefore has nothing to do with the philosophical idea of "when an apple ceases to be an apple", or in this case, "when a raindrop ceases to be a raindrop".
The concept of experimental error has no place in either philosophy or maths.
The concept of truth is clearly defined in maths, heavily studied in philosophy and totally irrelevant and extraneous to science.
And so we can continue forever explaining the differences between the three disciplines. If you want to mix them you should be prepared to explain why the mix is valid or else be shown how ignorant you are, like the OP's author, for example.
Science is a philosophy.
And we only need your word for that claim, of course. Or, maybe you have any kind of justification for your claim, other than it sounds nice?
You can say science is an offshoot of philosophy, just as chemistry is an offshoot of alchemy. Having a common origin does not mean anything. The target of philosophy and the target of science are clear and almost distinct, with just a very small intersection.
Empiricism, realism, instrumentalism, epistlemology, how we should interpret data and analyze it, Ockham's razor, reductionism, induction, the methodology, assumptions and implications of science is all philosophy and is what constitutes science as what it is. At every single point there is a philosophical choice that has been made already. Be careful to realize them and not take them for granted. Ignoring that they do both have the same "targets" or aims. There is a paradigm behind and driving science, and this paradigm is philosophical.
As you say their interests intersect. This is because it is science is a subset of Philosophy. Squares are rectangles because they share traits with rectangles, but all rectangles are not squares. All science is philosopy, but not all philosophy is science.
Math is a formal science. Should I take it you disagree that Math is a science or that you agree that it is in the realm of philosophy?
There are several hundred (if not thousand) books on this.
Heidegger is a good starting point. Read a few of his books. A memorable quote off the top of my head is "science is philosophy, whether it knows and wills it- or not."
A source I could dig up online with minimal effort: Fuller, "Insight into value" - "Ever science is a philosophy, resting on basic presppositions."
Another: "Science is philosophy applied to a particular problem ; philosophy is science
made universal and complete" Methods of knowledge: an essay in epistemology , Walter Smith
So no. You don't have to take my word for it. If one doesn't think science is a philosophy then one either doesn't know what science is, one doesn't know what philosophy is, or one is too arrogant to admit either.
This thread is irrrelevant to its own title and therefore constitutes mass low content. Moderators, take heed.
You have been warned and banned about this in the past. Are you really this thick?