Read e-book online A new foundation of physical theories PDF

By Günther Ludwig

ISBN-10: 3540308326

ISBN-13: 9783540308324

Written within the culture of G. Ludwig’s groundbreaking works, this publication goals to explain and formulate extra exactly the basic principles of actual theories. by way of introducing a simple descriptive language of easy shape, within which it's attainable to formulate recorded proof, ambiguities of actual theories are kept away from up to attainable. during this technique the sphere of physics that are meant to be defined via a concept will depend on simple techniques simply, i.e. techniques that may be defined and not using a theory.

In this context the authors introduce a brand new notion of idealization and overview the method of researching new techniques. they think that, while the theories are formulated inside of an axiomatic foundation, suggestions are available to many tough difficulties resembling the translation of actual theories, the family among theories in addition to the creation of actual concepts.

The booklet addresses either physicists and philosophers of technological know-how and may motivate the reader to give a contribution to the certainty of the lasting middle of actual wisdom in regards to the genuine buildings of the world.

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Time t’ instead of only ‘t’, or ‘position x1 , x2 , x3 ’ instead of only ‘x1 , x2 , x3 ’. , ‘t’ for time and ‘x’ for position. Often the meaning of a real number is also determined by the position of this real number in (r) (see Sect. 4). The introduction of real numbers in physics is a very common practice which essentially simplifies the mathematical description, so that one sometimes thinks that the physical method is essentially quantitative. But physics is not only quantitative. How real numbers can be defined in physical theories will be described later (see Sect.

A “physical system” consisting of several electrons and nucleus can be an object if it can be identified using the total experiment that will be described by the intended theory. The fact that we restrict the basic language of an intended theory to sentences of the forms (p) and (r) is essential for the construction of the method of physics proposed in this book. But since physicists also use other forms of language that are not very clear and very condensed, so condensed that people other than physicists can (or better, must) misunderstand this language, we will give examples of languages that do not belong to the basic language and that do not describe the correct method of physics.

3). 28 2 Building of a Mathematical Theory For the set theory, it is decisive that the set is intuitively seen as the collective whole of all its elements. But, it is precisely this “whole of all” which is doubtful in physics, as we have already outlined in the introduction of the logical sign ∀ in M T . For example, the statement “set of all electrons” is not regarded as meaningful during the construction of a P T , because it is doubtful that this totality of all electrons exists. In mathematics, “to collect in a set” is a significant notion of the set theory.

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A new foundation of physical theories by Günther Ludwig

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