Anaxagorean Sensations are Distinct
Sensation  Icon 
visual 

thermal 

somatic 

taste 

Some sensations are ubiquitous, unmistakable and perceptible as opposing pairs. We name them after the ancient Greek philosopher Anaxagoras because he started linking them to European physics. We say that a sensation is Anaxagorean if
$\delta = \pm 1$
for one and only one of
$\delta \in \left\{ \delta_{\it{e}}, \delta_{\it{m}}, \delta_{\it{w}}, \delta_{\tau}, \delta_{\it{T}}, \delta_{\sf{H}}, \delta_{\sf{I}} , \delta_{\sf{S}} , \delta^{*} \right\}$
The numerical values of δ depend on making binary descriptions of sensory experience. So sensations that are complex or ambiguous cannot satisfy this definition, even if they are common and important. For example, the color orange is not unmistakably red or yellow, so it is not Anaxagorean. A sensation must be perfectly distinct to be Anaxagorean. The descriptive method of WikiMechanics is based on mathematical sets of sensations. Arithmetic and algebra are also based on settheory. And the founder of settheory Georg Cantor says that a set is "a collection into a whole, of definite, welldistinguished objects."^{1} Or in another translation as, "definite and separate objects."^{2} Moreover, distinguishability is required^{3} to develop Wolfgang Pauli's exclusion principle which explains many properties of matter from largescale stability to the periodic table of the chemical elements. Pauli's principle is first expressed in WikiMechanics through this definition of Anaxagorean sensations.
Anaxagorean sensations are buildingblocks we can use to describe more complicated sensations. They must be distinct so that we can accurately count them, use mathematics to analyze the results, and scientifically describe our perceptions.
Summary 
Adjective  Definition  
Distinct Sensations  $\sf{\text{ are separate, different and distinguishable}}$  211 
Adjective  Definition  
Anaxagorean  $\delta = \pm 1 \ \sf{\text{for one of}} \ \delta_{\it{e}}, \delta_{\it{m}}, \delta_{\it{w}}, \delta_{\tau}, \delta_{\it{T}}, \delta_{\sf{H}}, \delta_{\sf{I}} , \delta_{\sf{S}} \ \sf{\text{or }} \delta^{*}$  212 
page revision: 434, last edited: 09 Nov 2016 18:26