It seems appropriate that I discovered on the same day that I heard about a neural imprinting device that cancels pain, a new type of sensing beyond the first two categories. Mathematicians and physicists may long have been aware of this power, but I have found a word for it that seems to communicate what is meant by the power.
So, here is a complete list of sense systems as I know them:
1. The 5 Senses
2. The Sixth Sense
3. Telesis --- Detecting wave functions, sensitivity to mathematical properties, specifically 'expressions' conforming to mathematical law. Variations on Telesis may be important for developing new theories of physics, mathematics, engineering, chemistry, medicine, etc. For example, in medicine there may be a requirement for sensitivity to the properties of powders. In engineering there may be a sensitivity to the micro-properties of computers and in engineering the sensitivity to structural stress. An obscure variation on telesis is telesis volitio (perpetual motion sensitivity) which has various forms often including four-dimensional knowledge, as well as a knowledge of friction and proportionality, that as in other particular cases manifests as an invention or concept usually, rather than an explicit formula. Telesis volitio involves a comparable, although different type of sensitivity than the type used in designing computers. Only by detecting the subtlest properties can the system be designed to obey a paradigmatic paradigm. In the past, I have used the word 'paradine' (with an 'N' and an 'E' instead of a 'G' and an 'M') to describe this highly developed state.
A variation of this page is also present at my Systems Page:
International Society for the Philosophy of Architecture » Ethics and Aesthetics of Architecture and the Environment