Hermeticism influenced the development of European thought in the Renaissance. Its ideas were transmitted partly through alchemy. In the 18th century, Franz Mesmer studied the works of alchemists such as Paracelsus and van Helmont. Van Helmont was a 17th-century Flemish physician who proclaimed the curative powers of the imagination. This lead Mesmer to develop his ideas about Animal magnetism which Phineas Quimby, the founder of New Thought, studied.
It's curious that people who believe in a LOA are critical of those who don't and believe them to be close-minded. I have presented a lot of new data such as the erroneous science and the data showing that acting as though you had already accomplished your goals was detrimental to you doing so. Yet, LOA proponents do not look at this with an open mind and reconsider their belief system. In this way LOA is akin to a faith-based religion, except that religious beliefs can't be disproven.