Brent Mundy
Biographic Data
| ID | 3874097 |
|---|---|
| NAME | Brent Mundy |
| GIVEN NAMES | Brent |
| FAMILY NAME | Mundy |
| SIGNATURE | MUNDY B |
| AFFILIATIONS | University of Oklahoma |
| VERIFIED | No |
| TOTAL WORKS | 11 |
| TOTAL CITATIONS | 52 |
| AUTHOR COUNT | 11 |
| EDITOR COUNT | 0 |
| FIRST PUBLICATION YEAR | 1983 |
| LATEST PUBLICATION YEAR | 1991 |
| H-INDEX | 4 |
Embedding and Uniqueness in Relationist Theories
Relationist theories of space or space-time based on embedding of a physical relational system A into a corresponding geometrical system B raise problems associated with the degree of uniqueness of the embedding. Such uniqueness problems are familiar in the representational theory of measurement (RTM), and are dealt with by imposing a condition of uniqueness of embeddings up to composition with an “admissible transformation” of the space B . Frie…
On Quantitative Relationist Theories
Mundy (1983) presented the formal apparatus of certain relationist theories of space and space-time taking quantitative relations as primitive. The present paper discusses the philosophical and physical interpretation of such theories, and replies to some objections to such theories and to relationism in general raised in Field (1985). Under an appropriate second-order naturalistic Platonist interpretation of the formalism, quantitative relationi…
Distant Action in Classical Electromagnetic Theory
The standard mathematical apparatus of classical electromagnetic theory in Minkowski space-time allows an interpretation in terms of retarded distant action, as well as the standard field interpretation. This interpretation is here presented and defended as a scientifically significant alternative to the field theory, casting doubt upon the common view that classical electromagnetic theory provides scientific support for the physical existence of…
Extensive measurement and ratio functions
Faithful representation, physical extensive measurement theory and Archimedean axioms
On the general theory of meaningful representation
Embedding and uniqueness in relational theories of space
Optical Axiomatization of Minkowski Space-Time Geometry
Minkowski geometry is axiomatized in terms of the asymmetric binary relation of optical connectibility, using ten first-order axioms and the second-order continuity axiom. An axiom system in terms of the symmetric binary optical connection relation is also presented. The present development is much simpler than the corresponding work of Robb, upon which it is modeled
The Physical Content of Minkowski Geometry
Special Relativity and Quantum Measurement
In Mundy [a] I offered an axiomatic analysis of the physical content of the kinematics of special relativity which suggests that, contrary to common belief, there is no incompatibility between special relativity and spacelike (faster-than-light) causation. An anonymous referee pointed out that this conclusion might have some bearing on problems in the interpretation of quantum mechanics such as the Einstein-Podolsky-Rosen problem, since one line …
Relational Theories of Euclidean Space and Minkowski Spacetime
We here present explicit relational theories of a class of geometrical systems (namely, inner product spaces) which includes Euclidean space and Minkowski spacetime. Using an embedding approach suggested by the theory of measurement, we prove formally that our theories express the entire empirical content of the corresponding geometric theory in terms of empirical relations among a finite set of elements (idealized point-particles or events) thou…
On the general theory of meaningful representation
Relational Theories of Euclidean Space and Minkowski Spacetime
We here present explicit relational theories of a class of geometrical systems (namely, inner product spaces) which includes Euclidean space and Minkowski spacetime. Using an embedding approach suggested by the theory of measurement, we prove formally that our theories express the entire empirical content of the corresponding geometric theory in terms of empirical relations among a finite set of elements (idealized point-particles or events) thou…
Optical Axiomatization of Minkowski Space-Time Geometry
Minkowski geometry is axiomatized in terms of the asymmetric binary relation of optical connectibility, using ten first-order axioms and the second-order continuity axiom. An axiom system in terms of the symmetric binary optical connection relation is also presented. The present development is much simpler than the corresponding work of Robb, upon which it is modeled
Faithful representation, physical extensive measurement theory and Archimedean axioms
Distant Action in Classical Electromagnetic Theory
The standard mathematical apparatus of classical electromagnetic theory in Minkowski space-time allows an interpretation in terms of retarded distant action, as well as the standard field interpretation. This interpretation is here presented and defended as a scientifically significant alternative to the field theory, casting doubt upon the common view that classical electromagnetic theory provides scientific support for the physical existence of…
Extensive measurement and ratio functions
Embedding and uniqueness in relational theories of space
On Quantitative Relationist Theories
Mundy (1983) presented the formal apparatus of certain relationist theories of space and space-time taking quantitative relations as primitive. The present paper discusses the philosophical and physical interpretation of such theories, and replies to some objections to such theories and to relationism in general raised in Field (1985). Under an appropriate second-order naturalistic Platonist interpretation of the formalism, quantitative relationi…
The Physical Content of Minkowski Geometry
Embedding and Uniqueness in Relationist Theories
Relationist theories of space or space-time based on embedding of a physical relational system A into a corresponding geometrical system B raise problems associated with the degree of uniqueness of the embedding. Such uniqueness problems are familiar in the representational theory of measurement (RTM), and are dealt with by imposing a condition of uniqueness of embeddings up to composition with an “admissible transformation” of the space B . Frie…
Relational Theories of Euclidean Space and Minkowski Spacetime
We here present explicit relational theories of a class of geometrical systems (namely, inner product spaces) which includes Euclidean space and Minkowski spacetime. Using an embedding approach suggested by the theory of measurement, we prove formally that our theories express the entire empirical content of the corresponding geometric theory in terms of empirical relations among a finite set of elements (idealized point-particles or events) thou…
On the general theory of meaningful representation
Embedding and uniqueness in relational theories of space
Optical Axiomatization of Minkowski Space-Time Geometry
Minkowski geometry is axiomatized in terms of the asymmetric binary relation of optical connectibility, using ten first-order axioms and the second-order continuity axiom. An axiom system in terms of the symmetric binary optical connection relation is also presented. The present development is much simpler than the corresponding work of Robb, upon which it is modeled
The Physical Content of Minkowski Geometry
Special Relativity and Quantum Measurement
In Mundy [a] I offered an axiomatic analysis of the physical content of the kinematics of special relativity which suggests that, contrary to common belief, there is no incompatibility between special relativity and spacelike (faster-than-light) causation. An anonymous referee pointed out that this conclusion might have some bearing on problems in the interpretation of quantum mechanics such as the Einstein-Podolsky-Rosen problem, since one line …
Faithful representation, physical extensive measurement theory and Archimedean axioms
Extensive measurement and ratio functions
On Quantitative Relationist Theories
Mundy (1983) presented the formal apparatus of certain relationist theories of space and space-time taking quantitative relations as primitive. The present paper discusses the philosophical and physical interpretation of such theories, and replies to some objections to such theories and to relationism in general raised in Field (1985). Under an appropriate second-order naturalistic Platonist interpretation of the formalism, quantitative relationi…
Distant Action in Classical Electromagnetic Theory
The standard mathematical apparatus of classical electromagnetic theory in Minkowski space-time allows an interpretation in terms of retarded distant action, as well as the standard field interpretation. This interpretation is here presented and defended as a scientifically significant alternative to the field theory, casting doubt upon the common view that classical electromagnetic theory provides scientific support for the physical existence of…
Embedding and Uniqueness in Relationist Theories
Relationist theories of space or space-time based on embedding of a physical relational system A into a corresponding geometrical system B raise problems associated with the degree of uniqueness of the embedding. Such uniqueness problems are familiar in the representational theory of measurement (RTM), and are dealt with by imposing a condition of uniqueness of embeddings up to composition with an “admissible transformation” of the space B . Frie…
Computer Science (10 works) · Mathematics (10 works) · Epistemology (9 works) · Philosophy (8 works) · Pure mathematics (8 works) · Philosophy of science (6 works) · Axiom (5 works) · Calculus (dental) (5 works) · Philosophy and History of Science (5 works) · Algebra over a field (4 works)