The Theory of Indistinguishables [electronic resource] : A Search for Explanatory Principles Below the Level of Physics / by A.F. Parker-Rhodes.
Erişim Adresi
ISBN
9789400984011
Dil Kodu
İngilizce
Yer Numarası
DK/16091
Yazar
Basım Bildirimi
1st ed. 1981.
Yayın Bilgisi
Dordrecht : Springer Netherlands : Imprint: Springer, 1981.
Fiziksel Niteleme
XIV, 216 p. online resource.
Dizi
Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science, 2542-8292 ; 150
İçindekiler Notu
I: Theory -- I/Introduction -- II/Semantic Theory of the Notation F -- III/The Physical Relevance of Indistinguishables -- IV/Sort Theory — Axioms and Definitions -- V/Sort Theory — Mappings -- VI/Representations of Initial Sorts -- VII/Representation of Superstruct Sorts -- II: Application -- VIII/Hypothesis and Principles -- IX/Events in the Void -- X/The Texture of Space-Time -- XI/The Constitution of Matter -- XII/States of Particles -- XIII/General Assessment -- References -- Index of Terms Defined -- Index of Symbols.
Özet, vb.
It is widely assumed that there exist certain objects which can in no way be distinguished from each other, unless by their location in space or other reference-system. Some of these are, in a broad sense, 'empirical objects', such as electrons. Their case would seem to be similar to that of certain mathematical 'objects', such as the minimum set of manifolds defining the dimensionality of an R -space. It is therefore at first sight surprising that there exists no branch of mathematics, in which a third parity-relation, besides equality and inequality, is admitted; for this would seem to furnish an appropriate model for application to such instances as these. I hope, in this work, to show that such a mathematics in feasible, and could have useful applications if only in a limited field. The concept of what I here call 'indistinguishability' is not unknown in logic, albeit much neglected. It is mentioned, for example, by F. P. Ramsey [1] who criticizes Whitehead and Russell [2] for defining 'identity' in such a way as to make indistinguishables identical. But, so far as I can discover, no one has made any systematic attempt to open up the territory which lies behind these ideas. What we find, on doing so, is a body of mathematics, offering only a limited prospect of practical usefulness, but which on the theoretical side presents a strong challenge to conventional ideas.
Konu
Science __ Philosophy.
Mathematical logic.
Philosophy of Science.
Mathematical Logic and Foundations.
Mathematical logic.
Philosophy of Science.
Mathematical Logic and Foundations.
Kurum Adı
Eseri Alıntıla
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Dijital Kaynak
MARC Görünümü
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520 |aIt is widely assumed that there exist certain objects which can in no way be distinguished from each other, unless by their location in space or other reference-system. Some of these are, in a broad sense, 'empirical objects', such as electrons. Their case would seem to be similar to that of certain mathematical 'objects', such as the minimum set of manifolds defining the dimensionality of an R -space. It is therefore at first sight surprising that there exists no branch of mathematics, in which a third parity-relation, besides equality and inequality, is admitted; for this would seem to furnish an appropriate model for application to such instances as these. I hope, in this work, to show that such a mathematics in feasible, and could have useful applications if only in a limited field. The concept of what I here call 'indistinguishability' is not unknown in logic, albeit much neglected. It is mentioned, for example, by F. P. Ramsey [1] who criticizes Whitehead and Russell [2] for defining 'identity' in such a way as to make indistinguishables identical. But, so far as I can discover, no one has made any systematic attempt to open up the territory which lies behind these ideas. What we find, on doing so, is a body of mathematics, offering only a limited prospect of practical usefulness, but which on the theoretical side presents a strong challenge to conventional ideas.
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532 8 |aPublisher contact for further accessibility information: accessibilitysupport@springernature.com
650 0|aScience|xPhilosophy.
650 0|aMathematical logic.
650 14|aPhilosophy of Science.
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050 4|aB67
072 7|aPDA|2bicssc
072 7|aSCI075000|2bisacsh
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100 1 |aParker-Rhodes, A.F.|eauthor.|4aut|4http://id.loc.gov/vocabulary/relators/aut
245 14|aThe Theory of Indistinguishables|h[electronic resource] :|bA Search for Explanatory Principles Below the Level of Physics /|cby A.F. Parker-Rhodes.
250 |a1st ed. 1981.
264 1|aDordrecht :|bSpringer Netherlands :|bImprint: Springer,|c1981.
300 |aXIV, 216 p.|bonline resource.
336 |atext|btxt|2rdacontent
337 |acomputer|bc|2rdamedia
338 |aonline resource|bcr|2rdacarrier
347 |atext file|bPDF|2rda
490 1 |aSynthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science,|x2542-8292 ;|v150
505 0 |aI: Theory -- I/Introduction -- II/Semantic Theory of the Notation F -- III/The Physical Relevance of Indistinguishables -- IV/Sort Theory — Axioms and Definitions -- V/Sort Theory — Mappings -- VI/Representations of Initial Sorts -- VII/Representation of Superstruct Sorts -- II: Application -- VIII/Hypothesis and Principles -- IX/Events in the Void -- X/The Texture of Space-Time -- XI/The Constitution of Matter -- XII/States of Particles -- XIII/General Assessment -- References -- Index of Terms Defined -- Index of Symbols.
520 |aIt is widely assumed that there exist certain objects which can in no way be distinguished from each other, unless by their location in space or other reference-system. Some of these are, in a broad sense, 'empirical objects', such as electrons. Their case would seem to be similar to that of certain mathematical 'objects', such as the minimum set of manifolds defining the dimensionality of an R -space. It is therefore at first sight surprising that there exists no branch of mathematics, in which a third parity-relation, besides equality and inequality, is admitted; for this would seem to furnish an appropriate model for application to such instances as these. I hope, in this work, to show that such a mathematics in feasible, and could have useful applications if only in a limited field. The concept of what I here call 'indistinguishability' is not unknown in logic, albeit much neglected. It is mentioned, for example, by F. P. Ramsey [1] who criticizes Whitehead and Russell [2] for defining 'identity' in such a way as to make indistinguishables identical. But, so far as I can discover, no one has made any systematic attempt to open up the territory which lies behind these ideas. What we find, on doing so, is a body of mathematics, offering only a limited prospect of practical usefulness, but which on the theoretical side presents a strong challenge to conventional ideas.
532 8 |aAccessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format.
532 8 |aInaccessible, or known limited accessibility
532 8 |aNo reading system accessibility options actively disabled
532 8 |aPublisher contact for further accessibility information: accessibilitysupport@springernature.com
650 0|aScience|xPhilosophy.
650 0|aMathematical logic.
650 14|aPhilosophy of Science.
650 24|aMathematical Logic and Foundations.
710 2 |aSpringerLink (Online service)
773 0 |tSpringer Nature eBook
776 08|iPrinted edition:|z9789027712141
776 08|iPrinted edition:|z9789400984028
776 08|iPrinted edition:|z9789400984035
830 0|aSynthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science,|x2542-8292 ;|v150
856 40|uhttps://doi.org/10.1007/978-94-009-8401-1
912 |aZDB-2-SHU
912 |aZDB-2-SXPR
912 |aZDB-2-BAE
950 |aHumanities, Social Sciences and Law (SpringerNature-11648)
950 |aPhilosophy and Religion (R0) (SpringerNature-43725)
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