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Whole books have been written around the word respect, it has moral, ethical and philosphical areas that cover respect for human and non-human forms of life. It is a way of percieving the relationship that exists between the beholder and the object that he or she sees. It can be subjective, but its truth should be objective. It can, and must, be applied to the relationships between people, to all forms of religion - whether we believe them or not is immaterial - and in the light of our understanding of the world around us, to all living entities, whatever form or shape they take.
Respect governs the decisions of society and how we treat each other, respect for nature is perhaps a minority view, respect for old cultures is still in the throes of being defined by what is now a modern secular society, the questions as to how we should view our past and its history, is more often than not left in the hands of a scientific handful of people such as archaeologists, who are trained in the art of excavation for instance, but who lack education in the moral and ethical rules of society as a whole, past and present.
"care respect, which is exemplified in an environmentalist's deep respect for nature. Care respect involves regarding the object as having profound and perhaps unique value and so cherishing it, and perceiving it as fragile or calling for special care and so acting or forbearing to act out of felt benevolent concern for it. This analysis of respect draws explicitly from a feminist ethics of care and has been influential in feminist and non-feminist discussions of respecting persons as unique....."
http://plato.stanford.edu/entries/respect/