Hypothesis of Binary Description

When the description of some class of sensation is made more exact by subdividing it into two mutually exclusive parts, then we say we are making a binary description of the experience. The hypothesis of binary description is a presumption that theoretical physics is based on making distinctions of this sort. For more about how to make a binary description into a mathematical statement, click on the following links and icons.

Binary Descriptions
achromatic.jpg Compare achromatic visual sensations with seeing the Sun to define a
number $\delta_{w}$ called the whiteness.
Bangladeshi.GIF Compare organic chromatic sensations with seeing blood1 to
define a number $\delta_{m}$ called the redness.
Swedish.gif Compare inorganic chromatic sensations with seeing gold to define a
number $\delta_{e}$ called the yellowness.
knut.jpeg Compare dangerous thermal sensations with touching ice to define a
number $\delta_{T}$ called the hotness.
steam.jpg Compare safe thermal sensations with touching steam to define a
number $\delta_{\tau}$ called the coldness.
odd.jpg Compare somatic sensations with hearing a heartbeat to define a
number $\delta^{*}$ called the oddness.
souricon.jpg Compare sour sensations with tasting a lemon to define a
number $\delta_{\sf{H}}$ called the sourness.
saltyicon.jpg Compare salty sensations with tasting the ocean to define a
number $\delta_{\sf{I}}$ called the saltiness.
sweeticon.jpg Compare sweet sensations with visual sensations to define a
number $\delta_{\sf{S}}$ called the sweetness.

Binary descriptions reduce all detail and subtlety to just two mutually exclusive possibilities. This is a very simple way of describing sensation. It may well produce an inadequate gloss of the experience. Or it might be a useful way of managing complexity. For more discussion click here.

Right.png Next step: Anaxagorean sensations.
Noun Definition
Binary Descriptors $\sf{\text{A mutually exclusive pair of characteristics.}}$ 2-1
Adjective Definition
Whiteness $\delta_{w} \equiv \begin{cases} +1 &\sf{\text{if a sensation is white }} \\ -1 &\sf{\text{if a sensation is black }} \end{cases}$ 2-2
Adjective Definition
Redness $\delta_{m} \equiv \begin{cases} +1 &\sf{\text{if a sensation is red }} \\ -1 &\sf{\text{if a sensation is green }} \end{cases}$ 2-3
Adjective Definition
Yellowness $\delta_{e} \equiv \begin{cases} +1 &\sf{\text{if a sensation is yellow }} \\ -1 &\sf{\text{if a sensation is blue }} \end{cases}$ 2-4
Adjective Definition
Hotness $\delta_{T} \equiv \begin{cases} +1 &\sf{\text{if a sensation is hot }} \\ -1 &\sf{\text{if a sensation is freezing }} \end{cases}$ 2-5
Adjective Definition
Coldness $\delta_{\tau} \equiv \begin{cases} +1 &\sf{\text{if a sensation is cool }} \\ -1 &\sf{\text{if a sensation is steamy }} \end{cases}$ 2-6
Adjective Definition
Oddness $\delta^{*} \equiv \begin{cases} +1 &\sf{\text{if a sensation is on the left side }} \\ -1 &\sf{\text{if a sensation is on the right side }} \end{cases}$ 2-7
Adjective Definition
Sourness $\delta_{\sf{H}} \equiv \begin{cases} +1 &\sf{\text{if a taste sensation is tart }} \\ -1 &\sf{\text{if a taste sensation is soapy }} \end{cases}$ 2-8
Adjective Definition
Saltiness $\delta_{\sf{I}} \equiv \begin{cases} +1 &\sf{\text{if a taste sensation is brackish }} \\ -1 &\sf{\text{if a taste sensation is potable }} \end{cases}$ 2-9
Adjective Definition
Sweetness $\delta_{\sf{S}} \equiv \begin{cases} +1 &\sf{\text{if a taste sensation is sugary }} \\ -1 &\sf{\text{if a taste sensation is savory }} \end{cases}$ 2-10
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