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We examine the question of whether scientific theories can ever be complete. For two closely related reasons, we will argue that they cannot. The first reason is the inability to determine what are “v...
It is argued that qualities of complete/incomplete science theory do not relate to the fertility or diversity or validity of science theory, but correspond with social, behavioral, moral values, and t...
We are producing an innovative theory to make a group of autonomous systems as intelligent as possible to serve as surrogate human decision makers in a hybrid group of humans and machines for a va...
We prove an analogue of the weak Omori-Yaumaximum principle and Khas’minskii’s criterion for graphs in the general setting of Keller and Lenz. Our approach naturally gives the stability of stochastic ...
We give a new proof for Godel's second incompleteness theorem, based on Kolmogorov complexity, Chaitin's incompleteness theorem, and an argument that resembles the surprise examination paradox. We the...
Grammaticalization of Syntactic Incompleteness:Free Conditionals in Italian and Other Languages
This work develops a composable notion of security in a synchronous communication network to analyze cryptographic primitives and protocols in a reliable network with guaranteed delivery. In such a ...
We examine the question of whether scientific theories can ever be complete. For two closely related reasons, we will argue that they cannot. The first reason is the inability to determine what are "v...
This continues from Part 1. It is shown how an intensional interpretation of physics object languages can be formalised, and how a syntactic compositional time reversal operator can subsequently be de...
It has been suggested by Clark Glymour that the spatio-temporal structure of the universe might be underdetermined by all observational data that could ever, theoretically, be gathered. It is possible...
The Incompleteness Theorem     Incompleteness Theorem       2008/4/3
In September 1930 in Königsberg, on the third day of a symposium devoted to the foundations of mathematics, the young Kurt Gödel launched his bombshell announcing his incompleteness theo...
In this paper all the “acting” philosophers play their classical role: Gödel is present with his incompleteness theorems. Carnap is present with the positivist view of unity of science, and speci...
In this paper all the 揳cting?philosophers play their classical role: G鰀el is present with his incompleteness theorems. Carnap is present with the positivist view of unity of science, and specifically ...
In this paper all the 揳cting?philosophers play their classical role: G鰀el is present with his incompleteness theorems. Carnap is present with the positivist view of unity of science, and specifically ...

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