That doesn't sound a strong enough case upon which to base their argument.

Instead the critics based their arguments on a matter of perspective.

That is the first startling circumstance on which we base our argument.

He based his argument on three main pieces of evidence:

On what will the opposition be basing their arguments, I wonder.

Judges for the majority based their argument on each citizen's constitutional right to "free development of the personality."

Note that I am basing all my arguments on real-world use cases.

We do not base our arguments on "anecdotes and unsubstantiated information."

It advocated fewer hours for women workers, and based its arguments on assumptions of female weakness.

They based their argument on taped conversations, which they did not release.