On the Nature of N-Dimensional Mathematical Objects, with n ≥ 0

Hits: 770
Select Volume / Issue:
Year:
2019
Type of Publication:
Article
Keywords:
Continuum, Point, Line, N-Dimensional Objects, Set Theory, Power Set, Cardinality
Authors:
Antonio Luigi Paolilli
Journal:
IJISM
Volume:
7
Number:
3
Pages:
143-147
Month:
May
ISSN:
2347-9051
Abstract:
In the Aristotelian viewpoint a line cannot be made by points. The debate on the nature of the continuum has lasted for centuries till the present time. The prevailing opinion is that lines are generated by the movement of points, planes by the movement of lines and so on. In this paper we will try to clarify the nature of the relation between points and other geometric objects taking into account the actual nature of each individual object. In this way we will show that the generation process of geometric objects is opposite to the prevailing opinion mentioned above. We will also introduce a question about the relation between sets and power sets, which in our opinion is similar to the relation among geometric objects with a different number of dimensions, although the generation process of sets and power sets is the opposite of the geometrical objects' one. We sustain that power sets seem greater than sets since, so as they have been defined, they have an additional dimension, here defined Event axis. In a short appendix it is shown how the set of points of a n-dimensional geometric object (with n > 1) may be put in a biunivocal correspondence even with a single point.

About Us

Our Journals

IJECCE
International Journal of Electronics Communication and Computer Engineering
ISSN(Online): 2249 - 071X
ISSN (Print) : 2278 – 4209
www.ijecce.org
Submissions open
IJAIR
International Journal of Agriculture Innovations and Research (ISSN(Online) : 2319 – 1473)
www.ijair.org
Submissions open
IJISM
International Journal of Innovation in Science and Mathematics
ISSN : 2347 – 9051
www.ijism.org
Submissions open
IJEIR
International Journal of Engineering Innovations and Research
ISSN(Online) : 2277 – 5668
www.ijeir.org
Submissions are open.

IJAIM
International Journal of Artificial Intelligence and Mechatronics (ISSN(Online) : 2320 – 5121)
www.ijaim.org
Submissions open
IJRAS
International Journal of Research in Agricultural Sciences
www.ijras.org
Submissions open

Indexed By:

 width= width= width= width= width=