TL;DR: I found an error in most logic textbooks (in metalogic, not in ZF). That’s a security hazard. This shows something that appears to be a contradiction in ZF:https://arweave.net/RJ4DRuRjdVWqJ5RBHB30SXDBXATzqmAV3Qs1b6f1ykw I will denote the set described by a set comprehension (more precisely, its numeric encoding, such as Godel’s encoding) X as S(X). Let M be the…… Continue reading The error in MOST logic studybooks (not in ZFC)
In first-order predicate calculus “logic” (formal system) depends on the choice of an axiomatic system. However equally expressible first-order predicate logic can be done without axioms. I construct an expressive first-order predicate logic without axioms in which only implications can be proved. Then I consider its philosophical and theological implications. We have the same rules…… Continue reading Absolute Logic – logic without axioms
AFAIK, in mathematical literature there is met no definition of “guessed probability” like “I (or my computer) think rain probability is 34%” or more fundamentally “In my opinion, the probability of Euler-Stocks hypothesis being true is 67%”. In this short note I give a formal definition of guessed probability. Let’s fix a (probabilistic or not)…… Continue reading What is guessed probabity and perceived value
How western civilization ended with a “buffer overflow” error.
I realized that there is a data structure in which copying an object takes almost zero time and energy. It’s possible to build a filesystem in which snapshots are taken every second!
Imagine a big construction and an engineer has moved a little detail from an one place of this construction to an other place. What has moved? The little detail, could reply you. But what if I would say that the little detail has not moved but the rest of the construction has moved around the…… Continue reading Borders of science – objects more complex that ourselves?
The following are good projects important for mankind: Carbon accounting with world-best anti-theft (needs somebody to pay for error checking). This software also can be used for such things as calculating salaries in big companies.Linux – one of the best operating systems – get rid of WindowsRust (for highest reliability) and D language (see also…… Continue reading Some Good Projects
Abstract. I propose to apply my generalized limit theory and generalized partial differential equations to (unchanged) general relativity equations, changing the set of solutions to a different vector field than real numbers. So, I’ve formulated another variant of general relativity. Whether the resulting theory is non-contradictory in the case of singularities, is yet unknown. This…… Continue reading General Relativity in a generalized differential calculus – a candidate for quantum gravity
Developing a future not scientific method to replace scientific method and traditional mathematics. The method to be developed is to be highly selective and inclusive, economically effective, requiring interdisciplinarity. Not science is like science based on mathematics, but a different kind of mathematics, with an algorithm that is “not logic”.
Lemme model what happens if somebody finds an efficient NP-complete algorithm. In layman terms an efficient NP-complete algorithm is: an algorithm that reaches any given decision accomplishment if what “to accomplish” is exactly (mathematically) described and is accomplishable (e.g. accordingly laws of physics). [That’s is oversimplified and inexact.] So, the first thing is that somebody…… Continue reading Modelling the global war in the case if an efficient NP-complete algorithm is published