Wrong, science as "natural philosophy" is an outdated concept from 17-19th century.
I never called it a natural philosophy, I said it was a branch of philosophy and it is.
Science now is considered outside the realm of philosophy.
Says who? Show me some proof.
The Latin degree names are just holdover, but you are free to imagine yourself in that quaint era.
Yes, it is old and it is still being used today. So you are willing to ignore that every scientist who invested in their education has a doctorate of philosophy in their title as evidence that science is a part of philosophy.
Well then let's define philosophy.
"Philosophy is the study of general and fundamental problems, such as those connected with reality, existence, knowledge, values, reason, mind, and language. Philosophy is distinguished from other ways of addressing such problems by its critical, generally systematic approach and its reliance on rational argument. In more casual speech, by extension, "philosophy" can refer to "the most basic beliefs, concepts, and attitudes of an individual or group".
The word "philosophy" comes from the Ancient Greek (philosophia), which literally means "love of wisdom"."
Science is the "the intellectual and practical activity encompassing the systematic study of the structure and behavior of the physical and natural world through observation and experiment.". So science is a subset of philosophy because it is a more specific way of 'the study of general and fundamental problems' than philosophy, which is not so rigid.