Oct 042009
 

What is it?

You may know of this by it’s common name, “fuzzy” logic. I prefer the term “fractal”, because it gets to the heart of the matter. We don’t have fuzzy dimensions, but we do have fractal dimensions. Fractal dimensions are “fractional” dimensions like 1.2 and 2.3. Likewise with “fuzzy” logic. As opposed to the binary logic of 0 and 1, fractal or “fuzzy” logic allows for a range of values between 0 and 1. You won’t hear anyone talk about fractal logic, though. I use the term here merely for visualization purposes. (When I am trying to understand something, I often find it helpful to rename the ideas, change the metaphor, redraw the picture for myself).

So what it is good for? What can we use this funny logic for? That’s simple. We all know that there are degrees of truth. The world ain’t black and white, you know. Take a glass of water, for example. Is it empty or full? Binary logic cannot answer this, but according to fractal logic, the “truth value” of the emptiness or fullness of the glass is easily calculated, sort of like a percentage.

Binary logic deals with true and false values while fractal logic tries to address “degrees” of truth in values such as hot-cold, where you have a continuum of values between extremes.

Here is a logic tutorial I found interesting:

http://logictutorial.com/

I need more example to flush this out. How is fuzzy logic NOT just statistics (percentages)?

 Posted by at 8:14 am

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