| 000 | 01430nam a2200181Ia 4500 | ||
|---|---|---|---|
| 008 | 210916s9999 xx 000 0 und d | ||
| 020 | _a9783030085131 | ||
| 082 |
_a510.1 _bWOZ |
||
| 100 |
_aWoźny, Jacek _96398 |
||
| 245 | 0 |
_aHow we Understand Mathematics : _bConceptual integration in the language of mathematical description |
|
| 260 |
_aSwitzerland _bSpringer _c2018 |
||
| 300 | _a117p. | ||
| 520 | _aThis volume examines mathematics as a product of the human mind and analyzes the language of "pure mathematics" from various advanced-level sources. Through analysis of the foundational texts of mathematics, it is demonstrated that math is a complex literary creation, containing objects, actors, actions, projection, prediction, planning, explanation, evaluation, roles, image schemas, metonymy, conceptual blending, and, of course, (natural) language. The book follows the narrative of mathematics in a typical order of presentation for a standard university-level algebra course, beginning with analysis of set theory and mappings and continuing along a path of increasing complexity. At each stage, primary concepts, axioms, definitions, and proofs will be examined in an effort to unfold the tell-tale traces of the basic human cognitive patterns of story and conceptual blending. | ||
| 650 |
_aMathematical linguistics _96399 |
||
| 650 |
_aMathematics--Philosophy _96400 |
||
| 650 |
_aMathematics _9435 |
||
| 942 | _cBK | ||
| 999 |
_c6407 _d6407 |
||