Each symbol indicates an element in a magical system: the four elements of western alchemy, the five elements of chinese magic, and the seven ancient planets. Each system provides correspondences for its symbols: for instance, Jupiter corresponds to the metal tin, the day Thursday, and the color purple. If you mark each word that corresponds to a neighboring symbol, you notice some gaps:
The un-corresponding words are in the positions of the spheres or sephiroth of the cabalistic Tree of Life (see figure on right). The spheres are ordered from top to bottom, right to left (since it's a Jewish system). If you put the words in that order:
Iron aLuminum liLy beaUty salaMander tortoIse elephaNt wednesdAy spearminT eccentricItythe word ILLUMINATI can be read down the diagonal, which is the answer.