What is it that we can say is irreducible..? This has been science's quest over the centuries: to locate the illusive irreducible..
Atoms in ancient times seemed irreducible followed eventually by electrons..protons..quarks.. You know these names.. Names of matter tinier and tinier.. irreducible
And the end is not in sight for searching in matter for that which is tinier tiniest irreducible..
It appears we await a new day.. Perhaps soon for recognition that our focus need be reversed: inside not outside is a non-location infinite and irreducible...