The Idea of Continuity as Mathematical-Philosophical Invariant

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

Amirov Eldar

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: METAFIZIKA Year:2019 | Volume:2 | Issue:4 Page(s): 87-100

Download Full-Text

View:

156

Download:

185

Cites:

Information Journal Paper

Title

The Idea of Continuity as Mathematical-Philosophical Invariant

Author(s)

Amirov Eldar | Issue Writer Certificate

Keywords

continuity

unit-ideas

Leibniz

real numbers

mathematical-philosophical invariant

Dedekind

time

Abstract

The concept of ‘ ideas’ plays a central role in philosophy. The genesis of the idea of continuity and its essential role in intellectual history have been analyzed in this research. The main question in this research is how the idea of continuity appeared in the human cognitive system. In this context, we analyzed the epistemo-logical function of this idea. In intellectual history, the idea of continuity was first introduced by Leibniz. After him, this idea, as a paradigm, formed a base for seve-ral fundamental scientific conceptions. This idea also allowed mathematicians to justify a nature of real numbers, which was one of the central questions and intellectual discussions in the history of mathematics. For this reason, we analyzed how Dedekind’ s continuity idea was used to this justification. As a result, it can be said that several fundamental con-ceptions in intellectual history, philosophy and mathematics cannot arise without existence of the idea of continuity. However, this idea is neither a purely philosophical nor a mathematical one. This is an interdisciplinary concept. For this reason, we call and classify it as mathematical and philosophical invariance.

Cites

No record.

References

No record.

Cite

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops