Truth Collection Research Articles

Quantum general covariance

The structure of quantum interactions with fields of helicity two (‘gravitons’) is strongly constrained by three principles: positivity (Hilbert space), covariance, and locality of observables. To fulfil them simultaneously, some (non-observable) fields need to be non-local. We work with string-localized fields. The results then follow from the condition that entities closely related to observables, like the -matrix, be local and string-independent. They in particular reproduce the interactions dictated by general covariance in classical field theory. Graviton-matter couplings are consistent only when the graviton self-interaction is taken into account as well. Science is not a collection of truths; it is a continuous exploration of mysteries —Freeman Dyson

Wikipedia as one of the Tools Of Information War And Influence On The Educational System

The article analyzes Wikipedia as one of the problem components of national information security of different countries, and as a factor of influence on the educational system. We considered all components of this problem. We proposed ways to solve this problem. Wikipedia should be politically indifferent. The true encyclopedia is an encyclopedia of timeless and eternal knowledge, and the present is not yet encyclopedic and controversial. Something that is being established should not be the basis for Wikipedia content (political topics, etc.). How can we make it so that Wikipedia is just a collection of truths, rather than a site of conflicts and disputes, particularly interethnic ones?

Wikipedia as one of the Tools Of Information War And Influence On The Educational System

The article analyzes Wikipedia as one of the problem components of national information security of different countries, and as a factor of influence on the educational system. We considered all components of this problem. We proposed ways to solve this problem. Wikipedia should be politically indifferent. The true encyclopedia is an encyclopedia of timeless and eternal knowledge, and the present is not yet encyclopedic and controversial. Something that is being established should not be the basis for Wikipedia content (political topics, etc.). How can we make it so that Wikipedia is just a collection of truths, rather than a site of conflicts and disputes, particularly interethnic ones?

Pure Logic of Many-Many Ground

A logic of grounding where what is grounded can be a collection of truths is a “many-many” logic of ground. The idea that grounding might be irreducibly many-many has recently been suggested by Dasgupta (2014). In this paper I present a range of novel philosophical and logical reasons for being interested in many-many logics of ground. I then show how Fine’s State-Space semantics for the Pure Logic of Ground (plg) can be extended to the many-many case, giving rise to the Pure Logic of Many-Many Ground (plmmg). In the second, more technical, part of the paper, I do two things. First, I present an alternative formalization of plg; this allows us to simplify Fine’s completeness proof for plg. Second, I formalize plmmg using an infinitary sequent calculus and prove that this formalization is sound and complete.

Leibniz — Beyond the calculus

For Leibniz mathematics was a collection of necessary and eternal truths. Moreover he believed that God was guided by quasi-mathematical considerations in the creation of the world. Hence some of the concepts and results of both ancient and contemporary mathematics served Leibniz as powerful influences on central features of his extra-mathematical thought. Such influences appear, for example, in his logic (in the cardinal distinction betwen necessary and contingent truths), and in his biology (in his vision of a continuous chain of organic life.) Leibniz figures in the standard histories of mathematics mostly as sharing, with Newton, the main credit for the first significant formulation of the calculus. That is appropriate in the sense that there indeed lay his most vital and enduring contribution to the subject. But such a focus limits considerably the role of mathematics in Leibniz’ own life and thought. Mathematical considerations also suggested, crystallized, governed in many pivotal ways the metaphysical system that places him among the west’s supreme philosophers. What follows is an attempt to outline some features of this broader picture, to correct the sometime fragmentations in our estimate of his work, to see his mathematical activity as a whole.