Mathematical Theorizing versus Mathematical Metaphorizing
A Commentary on Rudolph
Bibliographic Data
| ID | 12546166 |
|---|---|
| Authors | Ehtibar N Dzhafarov (0000-0003-1909-7706, Purdue University, USA, corresponding author) |
| Year | 2006 |
| Volume | 12 |
| Issue | 2 |
| Pages | 205-214 |
| Publication date | 2006-06-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Culture & Psychology (JOURNAL) |
| Journal identifiers | ISSN: 1354-067X • E-ISSN: 1461-7056 |
| Publisher | SAGE Publishing (PUBLISHER • US) |
| DOI | 10.1177/1354067x06064578 |
| OpenAlex | W2152428434 |
| Language | EN |
| Citations received | 3 |
| References cited | 16 |
Science may benefit from aesthetically pleasing and intellectually stimulating mathematical metaphors. To make them into mathematical theories, however, one has to complement them by links to well-defined theoretical primitives in turn linked to well-defined empirical procedures and observable phenomena. Rudolph’s (2006) mathematical metaphors for psychological time are fascinating, but the mathematical rigor with which they can be described does not compensate for the conspicuous lack of both theoretical and operational clarity in the notions these metaphors are supposed to pertain to, including the very notion of psychological time
CLARITY · Cognitive science · Complement (music · Epistemology · Mathematical practice · Mathematical structure · Mathematical theory · Mathematics education · Aesthetic Perception and Analysis · Cognitive Science and Mapping · Computer Science · Creativity in Education and Neuroscience · Philosophy · Psychology
| Unique citing works | 3 |
|---|---|
| Citations per year | 0,15 |
| Citation span | 2006 - 2006 (1) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 3 |