Can Magic be Science by another name?

The fantasy of my reading youth all fell into the category we would now call ‘soft magic’. It had no rules and no structure beyond the occasional dusty tome or wizarding school. If someone had asked me to explain the magic systems of Tolkein’s Lord of the Rings or The Belgariad by David Eddings, I couldn’t have done more than point to the places in the narrative where magic existed. I could see it, I knew it was there, I just couldn’t explain it.