Description

• Title:
  Geometry as Transfer
• Creator:
  Leyton, Michael
• Description:
  It is generally accepted that intelligent action involves considerable use of transfer. For example, Carbonell [1] has argued that learning proceeds by analogical reasoning; Rosch [12] has argued that categorization proceeds by seeing objects in terms of prototypes; and Leyton [9] has argued that the human perceptual system is organized as a hierarchy of transfer. The role of geometry is also seen as fundamental to the representations produced by the cognitive system. For example, Gallistel [2] has elaborated the powerful role of geometry in animal learning and navigation; Lakoff [3] has emphasized the role of geometry in semantics; and Leyton [9] has proposed an extensive role for geometry in causal explanation. We bring together the two above factors, transfer and geometry, in the book, Leyton [10], by developing a generative theory of shape in which transfer is a fundamental organizing principle. In this approach, transfer is basic to the very meaning of geometry. The purpose of the present paper is to give an introduction to this transfer-based theory of geometry.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Theoria et Historia Scientiarum
• Date:
  2008.01.02
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion
• Language:
  English
• Source:
  Theoria et Historia Scientiarum; Vol. 8 No. 1 (2008): Concepts, categories, and analogy; 223-246;
  Theoria et Historia Scientiarum; Tom 8 Nr 1 (2008): Concepts, categories, and analogy; 223-246;
  2392-1196;
  0867-4159
• Format:
  application/pdf
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/THS/article/view/ths.2008.012/13374
• Subject:
  geometry;
  transfer;
  human perception;
  quantum mechanics;
  Hamiltonian Mechanics;
  theory of transfer
• Identifier: https://apcz.umk.pl/THS/article/view/ths.2008.012
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  text