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The concept of "energy" was a mathematical invention by Young before the
concept of work was derived. Energy was not discovered in the sense of an
"aha see this neat fluid". That folly came much later.
The concept of "energy" predates N#2 in its present form: F=ma
I assume that we all know this cold.
Hence "energy" was not originally "defined" in terms of "work",
I feel silly posting this, but maybe a reminder is helpful.