The approach of accepting knowledge because people have agreed upon it, following a reasonable argument, is known as

The a-priori method fixes belief through propositions that people agree upon because they seem agreeable to reason.

The authoritarian method accepts a claim only because a figure of authority asserts it.

The scientific method tests ideas against systematically collected empirical evidence.

The experiential approach relies on personal observation and lived experience.

Reasoned mutual agreement, not evidence or authority, marks the a-priori route to knowledge.

Peirce listed tenacity, authority, the a-priori method and science as ways of fixing belief.