A great deal of modern science comes from the practice of alchemy, which begat chemistry and (less directly) biology. And a lot of what alchemists did looked like what modern scientists do: they had laboratories, they did experiments, they weighed and measured and otherwise quantified their results, they developed theories consistent with their observations. Similarly, modern astronomy and much of physics grew out of the work of astrologers, who, although they obviously couldn't experiment on the subjects of their observation, did take precise, repeated measurements of the apparent motions of celestial bodies, and developed mathematically rigorous models with considerable predictive power.
So what distinguishes the alchemist or astrologer from the modern scientist? The sharing of knowledge. Alchemy and astrology spread knowledge, if at all, by the apprenticeship system, in which well-respected practicioners would take on a small number of apprentices, swear them to secrecy, and slowly teach them the secrets of (their particular version of) the art, often with considerable penalties for revealing this knowledge to anyone outside the circle; the apprentices would then do the same in turn. The very idea of anything like the modern system of peer-reviewed, widely disseminated publication would have been anathema to them. The walls started to crumble during the late Renaissance period and were more or less completely down by the mid-eighteenth century, and thus modern science was born.
Since then we've seen incremental improvements, of which the internet and open access -- fought tooth and nail by certain journal publishers, who used to be allies of the scientist's labor of spreading knowledge, but have now become the last gatekeepers of the alchemical worldview -- are among the most recent and the most successful. But the basic idea is centuries old. It's thoroughly tested, and it works, in a way that the old mysticism, for all its occasional brilliance, never could. And any attempt to drag us back to the days of sages locking up their knowledge behind guild walls must be fought tooth and nail, or science itself will be in danger.
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