A Probabilistic Theory of Extensive Measurement
Bibliographic Data
| ID | 10705151 |
|---|---|
| Authors | Jean-Claude Falmagne, Jean‐Claude Falmagne (New York University, corresponding author) |
| Year | 1980 |
| Volume | 47 |
| Issue | 2 |
| Pages | 277-296 |
| Publication date | 1980-06-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Philosophy of Science (JOURNAL) |
| Journal identifiers | ISSN: 0031-8248 • E-ISSN: 1539-767X |
| Publisher | Cambridge University Press (CUP) (PUBLISHER) |
| DOI | 10.1086/288933 |
| OpenAlex | W2081174261 |
| Language | EN |
| Citations received | 2 |
| References cited | 3 |
Algebraic theories for extensive measurement are traditionally framed in terms of a binary relation ≲ and a concatenation ( x,y ) → xy. For situations in which the data is “noisy,” it is proposed here to consider each expression y ≲ x as symbolizing an event in a probability space. Denoting P(x,y) the probability of such an event, two theories are discussed corresponding to the two representing relations: with Axiomatic analyses are given, and representation theorems are proven in detail
Algebra over a field · Algebraic number · Arithmetic · Axiom · Binary number · Binary relation · Combinatorics · Concatenation (mathematics) · Data mining · Discrete mathematics · Event (particle physics) · Expression (computer science) · Physics · Probabilistic logic · Probability theory · Pure mathematics · Quantum mechanics · Relation (database) · Representation (politics) · Statistics · Computer Science · Mathematics · Scientific Measurement and Uncertainty Evaluation
| Citations per year | 0.05 |
|---|---|
| Citation span | 1985 - 1992 (8) |
| Highly cited | No |