By Günther Ludwig
Written within the culture of G. Ludwig’s groundbreaking works, this ebook goals to explain and formulate extra exactly the primary principles of actual theories. through introducing a easy descriptive language of straightforward shape, during which it truly is attainable to formulate recorded evidence, ambiguities of actual theories are shunned up to attainable. during this procedure the sector of physics that are meant to be defined by way of a concept depends upon uncomplicated ideas in basic terms, i.e. ideas that may be defined with out a theory.
In this context the authors introduce a brand new inspiration of idealization and evaluate the method of getting to know new thoughts. they suspect that, whilst the theories are formulated inside of an axiomatic foundation, ideas are available to many tricky difficulties comparable to the translation of actual theories, the relatives among theories in addition to the creation of actual concepts.
The ebook addresses either physicists and philosophers of technology and may motivate the reader to give a contribution to the certainty of the lasting center of actual wisdom in regards to the actual constructions of the world.
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Extra resources for A new foundation of physical theories
Designation reference & representation denotation - objects - facts - Reality level Fig. 1. Semantic relations One can understand that linguistic entities designate conceptual entities. But how we get relations between conceptual entities and real entities is a very complicated process: We will not describe the process of obtaining relations by “immediate reference;” we can only say which of these concepts are used, but 40 3 From Reality to Mathematics how we get such concepts is a psychological process which we cannot avoid by introducing philosophical a priori concepts.
The letters that appear in the logical relations are not elements of a set, and can in no way be applied directly to the logical relationship between relations. Relations in M T and elements of a set are essentially diﬀerent objects and should not be confused. 4). 4). 24 2 Building of a Mathematical Theory Having introduced the logical sense of “or” and “not” in M T , one must emphasize that nothing has been said about the manner of logically binding relations related to facts of reality, because some such relations are ﬁrst of all not combinations of signs appearing as relations A, B, .
It would be a big mistake to think that the realities depend only on the structures given in untouched nature. , a car produced in a factory. We can explain the many structures of this car because we have produced the car, but we cannot explain the laws of nature that we have used. We can only detect these laws and what is essential to formulate these laws in the form of mathematical structures. The formulation of this method will be founded in this chapter by describing the transition from reality to mathematics by distinguishing three processes: – A ﬁrst process, called recording process, which is a formulation of recorded facts denoted under the form of sentences in a natural language of very simple form (a descriptive language) called the basic language of the intended theory.