By Günther Ludwig
Written within the culture of G. Ludwig’s groundbreaking works, this publication goals to explain and formulate extra exactly the basic rules of actual theories. through introducing a uncomplicated descriptive language of easy shape, within which it's attainable to formulate recorded evidence, ambiguities of actual theories are refrained from up to attainable. during this strategy the sphere of physics that are meant to be defined via a idea relies on easy strategies basically, i.e. thoughts that may be defined with out a theory.
In this context the authors introduce a brand new suggestion of idealization and evaluation the method of getting to know new suggestions. they suspect that, whilst the theories are formulated inside an axiomatic foundation, ideas are available to many tough difficulties equivalent to the translation of actual theories, the kinfolk among theories in addition to the creation of actual concepts.
The e-book addresses either physicists and philosophers of technological know-how and will motivate the reader to give a contribution to the knowledge of the lasting middle of actual wisdom in regards to the actual buildings of the world.
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Additional resources for A new foundation of physical theories
In the same way, functions, applications, etc. can be characterized by an element of an echelon. In particular the relations of representation Rµ (see Chap. 3) can thus be described by a subset rµ of an echelon Sµ on the terms of representation as base sets or as elements rµ ∈ P(Sµ ). One can also naturally consider for all Rµ the element (r1 , r2 , . ) = s of P(S1 ) × P(S2 ) × · · ·; and if, conversely, s ∈ P(S1 ) × P(S2 ) × · · ·, then s = (r1 , r2 , . ) is equivalent to r1 ∈ P(S1 ) and r2 ∈ P(S2 ) and .
1 summarizes these semantic relations. Linguistic level Conceptual level ‘words’ ‘sentences’ “concepts” “propositions” . . ... ... ... ... . ... ... ... .. . ... .. ... . .. ... ... ... . . .. ... .. .. . .... ......... . 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.
An and ﬁnite many real numbers α1 , . . , αn , there is the relation rn (a1 , . . , an , α1 , . . , αn ). Before we can formulate sentences of the form (p) and (r), it is necessary to establish the objects, their properties and relations. Before we can begin to develop a physical theory, we must have the possibility of such determinations of realities without using the intended new theory. This does not mean that we do not use any theory. , already known theories. We will discuss later how we can use theories to detect new realities (see Sect.