DeepDyve eBooks - A New Foundation of Physical Theories

Reality

Ludwig, Günther; Thurler, Gérald

Pages: 11 –16

[In this chapter, we will be concerned with the reality related to a physical theory, the goal of which is to provide a satisfactory understanding of certain aspects of this reality.]

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Building of a Mathematical Theory

Ludwig, Günther; Thurler, Gérald

Pages: 17 –31

[In addition to the physical reality (see Sect. 1.2), the mathematical theory, denoted by MT, is the second most significant part of a physical theory. As briefly as possible, we will describe the elements necessary for the construction of a mathematical theory. For a more detailed description,...

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From Reality to Mathematics

Ludwig, Günther; Thurler, Gérald

Pages: 33 –61

[In this chapter we will be concerned with the problem of correspondence between the structure of a part of reality and an idealized mathematical structure that is similar to the structure of that part of reality. This part of reality will be called the application domain of the theory, denoted...

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Species of Structures and Axiomatic Basis of a PT

Ludwig, Günther; Thurler, Gérald

Pages: 63 –104

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Relations Between Various PTs

Ludwig, Günther; Thurler, Gérald

Pages: 105 –120

[In Chap. 4 we finished formulating the method of one physical theory. It is only by following this method that we accept a set of sentences (using physical and mathematical concepts) as a PT. This does not mean that we do not accept a PT if all the steps are not correctly followed according to...

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Real and Possible as Physical Concepts

Ludwig, Günther; Thurler, Gérald

Pages: 121 –144

[Since the beginning of our description of the structure of a physical theory in Sect. 3.2, we started with the application domain Ap as a part of “reality,” as that part which we can describe by the basic language Bl. Thus we presumed that we could gain for a PT, by immediate observations and by...

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A Description of the Surface of the Earth, or of a Round Table

Ludwig, Günther; Thurler, Gérald

Pages: 147 –157

[This example was used throughout Part I to illustrate some of the concepts introduced.]

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A Simplified Example of Newton’s Mechanics

Ludwig, Günther; Thurler, Gérald

Pages: 159 –165

[Newton’s mechanics is not a physical theory in our sense, since in general one has to add a concrete form of the so-called “forces;” therefore, Newton’s mechanics is a frame theory in the sense of the Sect. 4.9. To make a simplified example of Newton’s mechanics we choose a particular situation,...

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The Structure of the Human Species

Ludwig, Günther; Thurler, Gérald

Pages: 167 –171

[It will be shown by this example that the method of mathematization can also be applied to nonphysical structures. We call a structure a nonphysical structure if the concepts used in the basic language Bl are “nonphysical” concepts. Physics is determined not only by the applied method, but also...

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A New Foundation of Physical Theories

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A New Foundation of Physical Theories

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