The Theory of Indistinguishables: A Search for Explanatory Principles Below the Level of Physics / Edition 1

Hardcover (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $59.53
Usually ships in 1-2 business days
(Save 72%)
Other sellers (Hardcover)
  • All (7) from $59.53   
  • New (5) from $158.99   
  • Used (2) from $59.53   

Product Details

  • ISBN-13: 9789027712141
  • Publisher: Springer Netherlands
  • Publication date: 11/30/1981
  • Series: Synthese Library Series, #150
  • Edition description: 1981
  • Edition number: 1
  • Pages: 216
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.56 (d)

Table of Contents

I: Theory.- I/Introduction.- 1.A. The Concept of Indistinguishability.- 1.B. Primary and Secondary Indistinguishables.- 1.C. Classes of Indistinguishables.- 1.D. Correlation and Predication.- 1.E. The Triparity of Notations.- 1.F. Levels of Notation.- 1.G. Syntactic Specification of the Notations.- II/Semantic Theory of the Notation F.- 2.A. The Meaning of Meaning.- 2.B. The Pair Functors of U.- 2.C. Classifying Functors.- 2.D. Initial Theorems in U.- 2.E. Indistinguishable Arguments — Cases (a) & (b).- 2.F. Enchained Functors — Cases (c) & (d).- 2.G. Classifying Functors — Cases (e) to (g).- 2.H. Declassifying & Confounding Functors.- 2.J. Concurrence of Symbols.- 2.K. Concurrence in V.- 2.L. Compound Statements and Quantification.- 2.M. Comparison of Biparitous and Triparitous Quantification.- 2.N. Quantification of Definiends.- III/The Physical Relevance of Indistinguishables.- 3.A. The Concept of ‘Planes’.- 3.B. The Inchoative Plane.- 3.C. Observability of the Inchoative.- 3.D. Methodology.- 3.E. Types of Indistinguishables.- 3.F. The Principle of Coherence.- 3.G. Valid Representations.- 3.H. The Construction of Representations.- 3.J. The Irreducibility of the Physical Plane.- 3.K. The Combinatorial Hierarchy.- IV/Sort Theory — Axioms and Definitions.- 4.A. Indefinables of T.- 4.B. Method of Verifying Concurrence.- 4.C. Definitions in the Inferential System.- 4.D. Definitions in T — Basics.- 4.E. The Conditional Quantification Functor.- 4.F. Definition and Classification of Sorts.- 4.G. Some Classifying Functors.- 4.H. Ordered Pairs.- 4.J. Some Confounding Functors.- 4.K. Miscellaneous Functors over Sorts.- V/Sort Theory — Mappings.- 5.A. Mappings and Functions.- 5.B. Mappings from and to Perfect Sorts.- 5.C. The Closure of a Sort.- 5.D. A Classification of Sort Mappings.- 5.E. Cardinality of Perfect Sorts.- 5.F. The Invariant Subdomain Theorem.- 5.G. Functions of Two Arguments over a Perfect Sort.- 5.H. Values of the Functions.- 5.J. Properties of the Functions.- 5.K. Two-Argument Functions over Derived Perfect Domains.- 5.L. Functions of More than Two Arguments.- 5.M. Infinite Perfect Sorts.- 5.N. Operational Tables of the Functors.- VI/Representations of Initial Sorts.- 6.A. Initial and Superstruct Sorts.- 6.B. Complexes on an Initial Sort.- 6.C. Representation of $$\bar D$$20 by Pairs.- 6.D. Representation of Functors over $$\bar D$$20.- 6.E. Representing the Symmetry of the Functions.- 6.F. Representation of $$\bar D$$30.- 6.G. Representation of Functors over $$\bar D$$30.- 6.H. Symmetry of the Functions over $$\bar D$$30.- 6.J. Representation of $$\bar D$$40.- 6.K. Representation of Infinite Sorts.- 6.L. Conspectus of Representations of Initial Sorts.- VII/Representation of Superstruct Sorts.- 7.A. Sorts of Bivalent Functors.- 7.B. Families of Endomorphisms.- 7.C. Functions over Superstructs.- 7.D. The Cedilla Functor.- 7.E. The Hex Functor X.- 7.F. The Auxiliary Functor X.- 7.G. Pair Trees.- 7.H. General Definition of X over Pair-Trees.- 7.J. Representation of $$\bar D$$22 &c., by Hex Formulae.- 7.K. Are there Alternatives to Hex?.- 7.L. Representation of the Family D3.- 7.M. Representation of the Family D?.- 7.N. Rational Sorts.- 7.O. Catalogue of Rational Sorts.- II: Application.- VIII/Hypothesis and Principles.- 8.A. The Role of the Observer.- 8.B. Formulation of the Hypothesis.- 8.C. Some General Principles.- 8.D. The Pattern of the Families.- 8.E. The Nature of Observation.- 8.F. Unconditional Observables.- 8.G. Perfect and Mixed RSs.- IX/Events in the Void.- 9.A. The Void.- 9.B. Events.- 9.C. Orderings of a Segment of U.- 9.D. Specification of Particular Events.- 9.E. Ordinators.- 9.F. Dimensions.- 9.G. The Initial RSs.- X/The Texture of Space-Time.- 10.A. The Interpretation of D?0.- 10.B. Disordinate Statistics.- 10.C. The Action Metric.- 10.D. The Distinction Metric.- 10.E. The Chain of Measurement.- 10.F. The Concept of a Particle.- 10.G. The Polarity of Time.- 10.H. The Limiting Velocity.- 10.J. The Big Bang.- 10.K. The Connectivity of Space.- XI/The Constitution of Matter.- 11.A. The Finiteness of Information.- 11.B. Quantization and Conservation.- 11.C. Some Problems of Correlation.- 11.D. Partons.- 11.E. A Rudimentary Chromodynamics.- 11.F. Interpretation.- 11.G. Parton Descriptors.- 11.H. Reconstruction of Particles.- 11.J. Summary of Kinds of Particles.- XII/States of Particles.- 12.A. The Family D3.- 12.B. States in a Disordinate Space.- 12.C. The Proton-Electron Mass Ratio.- 12.Ca. The Fine Structure Constant.- 12.D. States Distinguishing Particles.- 12.E. Location and Orientation States.- 12.F. Interaction-Field States.- 12.G. The Chromodynamic Contribution.- 12.H. The Mean Density of the Universe.- 12.J. Discussion.- XIII/General Assessment.- 13.A. Characteristics of the Theory.- 13.B. New Paradoxes for Old.- 13.C. A Mendeleevian Presentation.- 13.D. Summary of Evidence.- 13.E. Assessment of the Results.- 13.F. Limits of Interpretation.- 13.G. General Conclusions.- References.- Index of Terms Defined.- Index of Symbols.

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)