If we look at English culture, it is also different from the ancient Greeks. The English became Westernized rather late compared to the rest of the Roman sphere, and they kept some of their own uniqueness.
But the English had no culture to speak of before the Romans.
In contrast, India was one of the four or five places on earth where civilization emerged spontaneously. Indian culture never fell apart like classical culture did in the West. Why would it disappear now? More likely Indians borrow what they need from the West, and India-fy it.
India has its own traditions, but by and large it's part of the Western system and it's "rise" is in fact it's becoming more Westernized. India and China are joining the Western world not replacing it.
I think Indians would disagree, as would Western travelers to that country.
Many civilizations contributed to the modern world. But the modern world as we know it was an invention of the West. Everyone you collaborate with received a Western education, accept the scientific process as norm, and are devoted to the study of science for the understanding of a rational universe rather than for example, performing a religious service. They are men and women of science, and they were inspired by the same people that inspired you, like Darwin, Edison, Fleming, etc. Two centuries ago you would not have had these international collaborators to work with.
Right, but in a deeper sense, I still hold that they are universal. The West merely "discovered" them first. The scientific revolution or democracy may well have emerged in China or India in a parallel universe. Then we would be going on about Indian culture's essential rationality or whatever.
Science is about empiricism, btw. And the West does not have a monopoly on either empiricism or rationality, not even when the East was in a comparatively weaker, less-developed state than it is today. Most religions think they are rational. Eastern ones are no exception. Buddhist and Hindu philosophy have their atheist, sceptical and even atomist and materialist schools. The Chinese have the saying: "The way of heaven is distant; the way of man is near."
Finally, the reason the West got to create modernity is the result of a rather unhappy accident: that long period of colonization, imperialism and war that ended in the West tearing itself to pieces. So while I don't agree with knee-jerk anti-Western bullshit, we should also be a bit critical.