Count and Measure

• 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”

Mathematics is social

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”

Set theory, models, and Skolem

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

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”

Indeterminate

…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”