By "non-masonry" paths I'm referring to paths that have some "give" to them when you walk on them. Stone products can be used on such pathways, but the stone will have been pulverized. For example, non-masonry paths may be composed of fine gravel, decomposed granite or stone dust. But other materials can be used, as well, including bark mulch, although the latter is obviously less durable than a product such as stone dust and will need to be replaced frequently.
Such paths offer an alternative to such masonry walkway materials as brick and flagstone.