A Consistent Conception of The Extended Linear Continuum as an Aggregate of Unextended Elements
Bibliographic Data
| ID | 10703350 |
|---|---|
| Authors | Adolf Grunbaum (Lehigh University, corresponding author) |
| Year | 1952 |
| Volume | 19 |
| Issue | 4 |
| Pages | 288-306 |
| Publication date | 1952-10-01 |
| Peer Reviewed | Yes |
| 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 | 10.1086/287213 |
| OpenAlex | W1986621693 |
| Language | EN |
| Citations received | 7 |
| References cited | 16 |
It is a commonplace in the analytic geometry of physical space-time that an extended straight line segment, having positive length, is treated as “consisting of” unextended points, each of which has zero length. Analogously, time intervals of positive duration are resolved into instants, each of which has zero duration
Aggregate (composite) · Duration (music) · Geometry · Line (geometry) · Mathematical analysis · Physics · Space (punctuation) · Statistics · Zero (linguistics) · Advanced Mathematical Theories and Applications · Mathematics · Mathematics and Applications · Philosophy
| Unique citing works | 7 |
|---|---|
| Citations per year | 0.18 |
| Citation span | 1988 - 2022 (35) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 7 |