원문정보
피인용수 : 0건 (자료제공 : 네이버학술정보)
초록
영어
We approach topics such as: the rise of the digital-analogous interaction, as a consequence of the emergence in many fields of the discrete-continuous interaction; the consequences in the field of the visual and the related physical, biological, linguistic, psychological and computational aspects; ‘visible’ versus ‘intelligible’ the place of the ‘visual’ with respect to ‘reality’ and ‘fiction’ the visual accounting for infinities of various types; the challenge of the wrong visual representations; ‘visual’ and ‘macroscopic’ ‘visual’ and ‘fractal’ ‘visual’ and non-Euclidean universes.
목차
1. A short history of the digital
2. The quantitative / qualitative alternative of the information paradigm
3. We are living in a digital society
4. From digital / analogous to discrete / continuous and their physical and biological aspects
5. Logical and mathematical aspects of the discrete-continuous distinction
6. Discrete and continuous mathematics need each other
7. Ambiguity in their intuitive perception
8. Multiplicity of mathematical models
9. Transgressing the binary discrete / continuous opposition
10. The philosophy of the discrete / continuous interplay
11. We see only what is continuous; we understand only what is finite,i.e. discrete
12. A work of art hides some order we try to capture by a finite, enough small set of elements
13. Trying to have a correct reasoning based on wrong figures (poincaré)
14. The basic entities of geometry are fictional objects
15. Genuine conflicts governing the world of the visual
16. Looking for a third state
17. From Euclid to Hilbert
18. The move from discreteness to continuity: sharp or gradual?
19. From visible to intelligible in the fractal world
20. A lie: the beauty of fractals and their very attractive colors
21. How misleading can be a visual representation
22. The finite may appear as a continuum and conversely
23. Is infinity visible? Is it intelligible?
24. Is the visual limited to the macroscopic universe?
25. The visual in the non-Euclidean world
References
[Abstract]
2. The quantitative / qualitative alternative of the information paradigm
3. We are living in a digital society
4. From digital / analogous to discrete / continuous and their physical and biological aspects
5. Logical and mathematical aspects of the discrete-continuous distinction
6. Discrete and continuous mathematics need each other
7. Ambiguity in their intuitive perception
8. Multiplicity of mathematical models
9. Transgressing the binary discrete / continuous opposition
10. The philosophy of the discrete / continuous interplay
11. We see only what is continuous; we understand only what is finite,i.e. discrete
12. A work of art hides some order we try to capture by a finite, enough small set of elements
13. Trying to have a correct reasoning based on wrong figures (poincaré)
14. The basic entities of geometry are fictional objects
15. Genuine conflicts governing the world of the visual
16. Looking for a third state
17. From Euclid to Hilbert
18. The move from discreteness to continuity: sharp or gradual?
19. From visible to intelligible in the fractal world
20. A lie: the beauty of fractals and their very attractive colors
21. How misleading can be a visual representation
22. The finite may appear as a continuum and conversely
23. Is infinity visible? Is it intelligible?
24. Is the visual limited to the macroscopic universe?
25. The visual in the non-Euclidean world
References
[Abstract]
저자정보
참고문헌
자료제공 : 네이버학술정보