To reach (a conclusion) by applying rules of logic or other forms of reasoning to given premises or known facts.
To examine, explain, or record (something) in an orderly manner.
To take as a premise; to assume for the sake of argument.
To be presumptuous; with on, upon, to take advantage (of), to take liberties (with).
With infinitive object: to be so presumptuous as (to do something) without proper authority or permission.
To assume or suggest to be true (without proof); to take for granted, to suppose.