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A general symbolic method with physi...

Smith, Gregory Michael.

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A general symbolic method with physical applications.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A general symbolic method with physical applications./
作者:	Smith, Gregory Michael.
面頁冊數:	128 p.
附註:	Source: Dissertation Abstracts International, Volume: 61-04, Section: B, page: 1986.
Contained By:	Dissertation Abstracts International61-04B.
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9969167
ISBN:	0599739460

A general symbolic method with physical applications.
Smith, Gregory Michael.

A general symbolic method with physical applications. - 128 p.

Source: Dissertation Abstracts International, Volume: 61-04, Section: B, page: 1986.

Thesis (Ph.D.)--Rensselaer Polytechnic Institute, 2000.

This thesis derives general physical results by an entirely formal process. Beginning with a brief examination of the notion of language itself, it next explores Physics in a schematic fashion in order to arrive at conclusions on the relationship between experience and language. This investigation leads to the hypothesis that there is no separate reality to which language refers, and therefore to the test of constructing physical theory without reference to experiment: If experience is not to direct the interpretation of language then language must yield its own interpretation.

ISBN: 0599739460Subjects--Topical Terms:

515831
Mathematics.

A general symbolic method with physical applications.
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245 1 2 $a A general symbolic method with physical applications.
300 $a 128 p.
500 $a Source: Dissertation Abstracts International, Volume: 61-04, Section: B, page: 1986.
500 $a Adviser: Donald A. Drew.
502 $a Thesis (Ph.D.)--Rensselaer Polytechnic Institute, 2000.
520 $a This thesis derives general physical results by an entirely formal process. Beginning with a brief examination of the notion of language itself, it next explores Physics in a schematic fashion in order to arrive at conclusions on the relationship between experience and language. This investigation leads to the hypothesis that there is no separate reality to which language refers, and therefore to the test of constructing physical theory without reference to experiment: If experience is not to direct the interpretation of language then language must yield its own interpretation.
520 $a To make such an idea acceptable it is next shown how references to such a presumably fictional entity such as an exterior reality may arise within language itself, and how such references may, and must, be retained. From this starting-point an entirely formal language is developed, along with an associated algebra and a Calculus, neither of which are restricted to finite quantities.
520 $a With the completion of the general symbolic system the derivation of both Relativity Theory and Quantum Theory, as well as the formal structures to which they apply, including space-time and sums-over-histories, follows from a purely nonempirical and finitary basis. The dynamical and thermodynamical laws yielding the phenomenological aspects of experience, such as are described by variables for pressure, volume, and temperature, as well as the divisions comprising phases of matter, are also argued to naturally follow on this basis. It is therefore plausibly claimed that the formal approach has succeeded in yielding its own interpretation and in thus reproducing what has previously been asserted to be of necessarily empirical origin.
520 $a It is, however, then found that this system is comprised of formally incompatible parts. It is thus apparently necessary to either reject the restriction to finite quantities or else accept the necessity of augmenting the formal system with a properly exterior reality, by which it is meant that "experience" must "inform" the system. Development of formal non-finitary theory is then argued to provide a plausible means of unifying the formalisms of Relativity and Quantum Theory.
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