Author Archives: Bob H

• There is only one certainty: There is no such thing as a perfectly impermeable boundary (all are conditional, porous) • Sharkovskii’s ordering of N as an example of a porous boundary: an infinity of infinities • The BITXOR/discrete derivative completely changes the order type of the set of infinite binary strings • A favoriteContinue reading “Count and Measure”

E T Jaynes ‘The Gibbs Paradox’… “If one is to condemn things that depend on human information, on the grounds that they are “subjective”, it seems to us that one must condemn all science and all education; for in those fields, human information is all we have. We should rather condemn this misuse of theContinue reading “Favorite E T Jaynes quote”

Mathematics is social The extent to which that people can ‘get through life’ without mathematics is an indication of its artificiality. Granted, most of those people rely on technology invented or built by others who may ‘get through life’ using more (or less) mathematics. Still, it is clear that “meaning is use” in anything involvingContinue reading “Mathematics is social”

A Manifesto There is exactly one absolute: There is no such thing as a world without boundaries nor a perfectly impermeable boundary <=> the only absolute is there are no absolutes <=> there are no ‘perfect’ boundaries, there are only filters • The continuum defines all boundaries, not the other way around…echoes of Deluze andContinue reading “A Manifesto”

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.

…and a ‘refutation’https://blog.gruffdavies.com/2017/12/24/newtonian-physics-is-deterministic-sorry-norton/ …notice it states as part of his argument that “Newton’s laws are deterministic, but they’re not complete.” (boundary with holes) and in that his argument against Norton fails: Norton is essentially claiming that ‘incompleteness’ and ‘indeterminate’ are equivalent….Norton is dealing with the idea of ‘boundaries’ without using the word. If you readContinue 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.