coddle 发表于 2025-3-23 11:59:24
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Number and Randomness: Algorithmic Information Theory — New Results on the Foundations of Mathematiceat work of Gödel and Boltzmann was done, and their work is a necessary prerequisite for my own ideas. Of course the connection with Gödel was explained in Prof. Reichel’s beautiful lecture.. What may be a bit of a surprise is the name of Boltzmann. So let me talk a little bit about Boltzmann and thCumbersome 发表于 2025-3-23 23:29:50
Meaning, Reality and Algorithms: Implications of the Turing Theorem Their far-reaching consequences are valid for any formal system and in particular for arithmetic and any advanced mathematical theory. Their formulation in the thirties has changed completely the objectives of the research for the foundations of mathematical theories. The task Hilbert had indicated泥沼 发表于 2025-3-24 03:54:59
The Limits of Mathematical Reasoning: In Arithmetic there will always be Unsolved Solvable Problemsaks about the conviction that our mind is capable of answering all questions it asks. Hilbert raises the question of whether this axiom is characteristic only of mathematical thinking, or whether it is a general and essential law of our mind. He shares the conviction that there is an answer to everyInnovative 发表于 2025-3-24 09:23:46
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A Critical Approach to Complexity and Self Organizationle. In order to put some order in a matter which has rather important implications, I shall introduce the necessary definitions, recurring, as far as possible, to heuristic pictures. First of all, I show that the 3 Cs stem from nonlinear dynamics. They are strongly bound to the concept of organizati埋伏 发表于 2025-3-24 15:08:35
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