Agile - Methodology or Framework or philosophy

Folks

I have been trying to get an handle on Whether Agile is a Methodology or Framework or Philosophy

I have seen lots of posts where they say Agile is Project Management Methodology and Agile project management methodologies include scrum, extreme programming (XP), and lean, among others

By Defination - Methodology is “a system of methods used in a particular area of study or activity”

When i read the Agile Manifesto its all about the 4 values and 12 principles. It does not mention anything about it being a methodology . To me it looks like - Agile is a philosophy, A set of principles to guide you in the choices you make.

So why do people call it as an - Project Management Methodology


Secondly - Scrum is a Process Framework ( Scrum Guide) - Framework by defination - is a picture or a model that guides you to understand which artifacts you should produce when. It doesn't tell you what to do though. - its a skeleton

So then why is Scrum is considered as one of the Project Management Methodologies

Any thoughts to solve my doubts

Regards