Author Archives: Bob H

Models of ‘Reality’ References: ‘Mathematical Undecidables, Metaphysical Realism, and Equivalent Descriptions’, Hartry Field ‘The Gibbs Paradox’, E T Jaynes The whole discussion of set theory, models and reality on pages 8 and 9 of the first reference is best understood the way E T Jaynes deals with entropy in his work referenced above, in sectionContinue reading “Set theory, models, and Skolem”

Wants and Needs One of the weaknesses of capitalism as a means to satisfy ‘wants’ is that instead of satisfying ’wants’ it clearly by its very motivation ends up creating more ‘wants’ in an endless cycle. Thus, if we put ‘wants’ before ‘needs’, then ’needs’, though limited, will never be satisfied. ‘Wants’ are in everyContinue reading “Wants and Needs”

The essence of patience is living with a sense of timeless existence while maintaining full awareness of death. No fear of death is the prerequisite for patience.

We are the way we are because we happen to have the history we have…there is no ‘necessity’ to the way we are. (the Mott problem: spherical wave yet linear track). Any ‘thing’ other than me has a different unique history…any different linear trajectory in a cloud chamber (the Mott problem) has a unique historyContinue reading “Indeterminate”

The foundations of physics (physical theories) and mathematics are only distinct by choice….mostly on the part of mathematicians. There is no “sense” in the assumptions of mathematics (axioms) if they are not reflected somehow in the real world.

What is infinite except that which is NOT finite? To ignore the role of the complement (ignore its absolutely foundational role…the only absolute: there is no absolute) is to ignore everything related to it…including the infinite. Therein is the contradiction in the whole of “Cantor’s Garden”. It ignores the “orthogonal” point of view for whichContinue reading “How fundamental is complementation?”

The last input column of the infinite truth table (one with an infinite number of rows and columns) is given by …010101010101… Its first column consists of two infinite strings…one all 0’s and the other all 1’s. Each subsequent column has twice as many strings of 0’s and 1’s concatenated such that they alternate. EveryContinue reading “The Infinite Truth Table”

A measurement amounts to a determination that a handoff of information is possible…if so, the handoff happens…without fail…as in the behavior of a particle in a potential …the trajectory is that of least action. The limiting features that determine possibilities for handoff are clock frequency and relative bit size ….scale (gear mesh model…pitch of theContinue reading “The handoff”

There are label on vertices and labels on branches The labels on the branches (either 0 or 1) yield a vertex label which is the record of the path through a series of labeled branches that leads to that vertex. Standard Binary tree the branch labels follow a two bit pattern …0-1 | 0-1 |Continue reading “Tree structure refresher”

The discrete derivative tree yields a reordering of labels on vertices in each row of the standard Binary Tree such that the elements of each row are strings that make a cycle of a single bit change between neighbors. Since the number of elements doubles from row n to row n+1 there is a ratioContinue reading “Period Doubling Tree”