philosophical system vs school of thought

philosophical system and school of thought both are nouns.

Word	Noun	Adjective	Verb	Adverb
philosophical system	Yes	No	No	No
school of thought	Yes	No	No	No

As nouns, philosophical system and school of thought are synonyms defined as:

philosophical system and school of thought: a belief (or system of beliefs) accepted as authoritative by some group or school

Other synonyms of philosophical system include doctrine, ism, philosophy.

philosophical system (noun)	school of thought (noun)
a belief (or system of beliefs) accepted as authoritative by some group or school	a belief (or system of beliefs) accepted as authoritative by some group or school