Rethinking Computation

Why revisit the notion of computation which mathematicians have been doing for centuries and which is formally characterized as what a mathematician does with her pencil and paper. A pretty straightforward precedent laden view. But is an arbitrarily expressive mathematician with pencil and paper really the essence of computation or might there be a be a deeper more comprehensive accounting of computation that encompasses the mathematician with her pencil and paper as well as much more? The journey discovers and explores the answer.

The journey is an evolving document and will be periodically updated.

A journey through Computation: Natural and Human updated 2-28-26 with addition to chapter 2.

Dependency language Updated 2-9-26 to include the derivation of place value number and its arithmetic in terms of the language.

Experience the Flow of Flow Computation

Youtube Video demonstrating and explaining spontaneously flowing wavefronts of transition. Download movie file and single step it to more clearly see the behavior. To play the demonstration interactively on Snap!. Download ringG.xml.zip file and unzip. Go to run Snap!. Drag ringG.xml file onto the Snap! page.

The Gears and Levers of the Flowing Ring

Youtube video presenting the ring structures and behaviors of flow computation. Play movie. Download the spreadsheet files.

iHeart radio interview

The Life Changes show interview on iHeart radio.