"Science" didn't exist until the 17th century and was invented in Europe, but there was knowledge of nature and thinkers sometimes proved aspects of what we think of as science, so sometimes the history books describe their advances as "science" and sometimes . as "technology" because not even - scientific nations had technology.
From a modern perspective, science subjects were also unmarked and physics etc. But the ancient Greeks had their own ways of dividing things. For the most part, the same people speculated about nature when they outlined the beginnings of the Western philosophical tradition, so the division of their human knowledge was often unclear. Back then there was little reason to think about our concepts because you couldn't look under a microscope or distill the elements.
You could still look at the sky. One can also glimpse farmers and shepherds and their work and speculate. If you were very motivated (and there were few), you could carefully examine shells or human body parts. Because the Greeks were the first to focus consistently enough on natural explanations for natural phenomena, they created new fields of natural phenomena as they went along; something we now call "early chemistry", but then it wasn't. They mostly just speculated about how things came together, so yes, some speculated about "atoms" as elementary things and bigger things as less elementary things, but actually they didn't know the hierarchy of current knowledge.
According to our terms, the basic level of knowledge was mathematics, but it included both the movement of the sky and astronomy. Plato has little interest in our scientific concepts; Aristotle did, and after mathematics he placed our physics, but for him it was first principles that he conjectured rather than observed, measured and proved. He was also concerned with botany and zoology, but again, it is rather thin to call his opinion on these the beginning of our disciplines. He was also concerned with psychology, and he and Plato had some idea of what anthropology and sociology would be for us, but again that forces our concepts to think quite far from those realms. But at least they touch them: the development of a political theory like Plato's inevitably involves a view of human nature..
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