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swirlieI didn't offer a personal connotation of the word great: I quoted the dictionary.
"Extent, amount or intensity" are measurable quantities.
Katherine the Great was not great for any moral qualities or achievements.
Think of any country that has been named great, and there is none that is or was rekowned for its moral goodness. Perhaps America believed it led the world in democracy: it never did.
The only great moral good to come out of the US (that I know of) is the United Nations Declaration of Human Rights. It was Eleanor Roosevelt who first broached the idea and then pushed and organised for it to come into being.
If individuals are proclaimed great, it is usually for specific (and measurable) achievements - such as those who win Nobel or Pulitzer prizes.
Even those who are deemed morally great - such as Martin Luther, Martin Luther King, Ghandi, Mandela or Suu Kyi - are not always great in their personal lives at home. They usually pay a huge price in not being able to be good with their families at home.
I'm not sure whether one can or should judge whole nations with the same scales as one uses for individuals. The scales need to take into account that excellent outcomes on small and locals scales often fail on larger ones.
As for the USA's status on the world stage, it still has considerable economic and cultural force.
It is true that many people around the world have a poor view of the USA's govt, diplomatic, economic and cultural influences and behaviour.
But if one views self-esteem as dependent on the views of others, then one is doomed.
A healthy self-esteem comes from living, acting and relating in accord with one's values.
To the world at large, it appears as though America cares most about money and power; and that its moral claims are little more than hot air.
The problem is that the whole is always greater than the sum of the parts.
Since no human is exempt from flaws and mistakes, no human system can be exempt either.
The most any country can do is a kind of constant housekeeping, improving systems, trying to prevent messes, and mopping up when they occur.