Does POM give anything practical to Mathematics? Or does it just try to explain the nature of numbers?

If I'm to try to make a new field of mathematics, do I need to be necessarily a philosopher? Is it better to be a philosopher?

I want to know whether POM is separated from or adds to Mathematics. For example, does it make a mathematician better at his work?

I read a post that was something like "POM talks about the nature of numbers". I read some of Wikipedia's article on Philosophy of Mathematics, and it wasn't far from that. For example, Wikipedia's article mentions this: "Mathematical realism, like realism in general, holds that mathematical entities exist independently of the human mind." I can't see that as helping a mathematician. I can't see how a mathematician can "potentially" solve equations better, or discover/construct a useful field of mathematics by putting this quote in mind.

My motivation is that I like to look at things from their roots and go up. So, is POM where I should start, or is POM irrelevant to the progress of Mathematics?

How should we characterize the relationship between mathematics and philosophy of mathematics?

Specifically, in what ways might the study of philosophy of mathematics make a mathematician better at his work, and which contributions from philosophy of mathematics might be considered the most critical or urgent to mathematicians?

Does POM give anything practical to Mathematics? Or does it just try to explain the nature of numbers?

If I'm to try to make a new field of mathematics, do I need to be necessarily a philosopher? Is it better to be a philosopher?

Does POM give anything practical to Mathematics? Or does it just try to explain the nature of numbers?

If I'm to try to make a new field of mathematics, do I need to be necessarily a philosopher? Is it better to be a philosopher?

I want to know whether POM is separated from or adds to Mathematics. For example, does it make a mathematician better at his work?

I read a post that was something like "POM talks about the nature of numbers". I read some of Wikipedia's article on Philosophy of Mathematics, and it wasn't far from that. For example, Wikipedia's article mentions this: "Mathematical realism, like realism in general, holds that mathematical entities exist independently of the human mind." I can't see that as helping a mathematician. I can't see how a mathematician can "potentially" solve equations better, or discover/construct a useful field of mathematics by putting this quote in mind.

My motivation is that I like to look at things from their roots and go up. So, is POM where I should start, or is POM irrelevant to the progress of Mathematics?