Download A New Foundation of Physical Theories by Günther Ludwig PDF

By Günther Ludwig

ISBN-10: 3540308326

ISBN-13: 9783540308324

Written within the culture of G. Ludwig’s groundbreaking works, this ebook goals to explain and formulate extra exactly the primary rules of actual theories. by means of introducing a uncomplicated descriptive language of easy shape, during which it truly is attainable to formulate recorded evidence, ambiguities of actual theories are shunned up to attainable. during this process the sector of physics that are supposed to be defined via a conception relies on uncomplicated suggestions in basic terms, i.e. thoughts that may be defined with out a idea. during this context the authors introduce a brand new proposal of idealization and evaluate the method of learning new innovations. they think that, while the theories are formulated inside of an axiomatic foundation, suggestions are available to many tough difficulties comparable to the translation of actual theories, the relatives among theories in addition to the creation of actual strategies. The publication addresses either physicists and philosophers of technological know-how and may motivate the reader to give a contribution to the knowledge of the lasting middle of actual wisdom concerning the genuine buildings of the realm.

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Extra info for A New Foundation of Physical Theories

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A) is proved in [6, Chap. I, Sect. 1], (b) is identical to C 15 of [6, Chap. I, Sect. , Sect. 2). (e) is a consequence of the equivalent relations mentioned under C 24 of [6, Chap. I, Sect. ” Because of their interest, particularly for the very significant reflection from the point of view of physics (see Chap. 3 and especially Chap. 4) are added: (f) Let A be a relation in M T , and let M T be the theory obtained by adjoining A to the axioms of M T . If B is a theorem in M T , then “A ⇒ B” is a theorem in M T .

3. , how we can collect the various A (introduced in Sect. 4) as part of this database. Notes concerning the Sect. , the sentence ‘s’ designates the proposition “p” . Basic Properties Some properties called basic properties are selected. This selection is not imposed by the reality but is selected by our own free will; it is the choice of deciding for which region of the reality we intend to make a theory. We want to exclude from the application domain Ap all objects that do not have at least one basic property!

46 3 From Reality to Mathematics In order to simplify our description, we will symbolize the results of measurement only by IR and intervals J for the description of the errors of measurement. It will be mentioned that the errors of measurement, described by intervals, are not necessarily the same for all relations and measurements that appear in the text A! The next step from reality to mathematics will be to transcribe these natural sentences into formal sentences, in particular, to transcribe the notion of a collection of sentences of Bl into the notion of a (mathematical) set.

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