The French military is in the top 3 of expeditionary forces and only one of 2 that get's used REGULARY in that role. It's one of the leaders in the European Union, Permanent Member of the United Nations Security Council and a nuclear power. You bet your ass it's a great power.
1) Which means the French have a good army that is used regularly. So? Prussia had a great army without being a true great power. This is not to dismiss what that means, but "we use our army for something other than self-defense" is proof of aggressive and/or interventionist ideas, not greatness.
2) Not sure what this means in regards to power - this is an ignorant American's unfamilarity with what "leadership" within the EU means. Presumably it means France is strong economically and politically, though "one of the leaders" is a little vague.
3) So? Does the fact that Germany isn't mean Germany is weaker than France?
4) Expensive weapons of mass fail. I suppose its part of sounding like a great and mighty nation to be able to waste resources like that on weapons that should never be used and may never be used, but its not one of your more convincing points.
I accept the points above with the above reservations, but I'm not exactly overwhelmed with evidence here.
I suppose part of my question is "What does a 'great power' mean in the post-Soviet Union context?" So the balance of things has changed.
I'm not trying to slight France here, but the relative position of western Europe to the rest of the world is not the same as it was in 1900.