From One Ontology to the Set of All Possible
DOI:
https://doi.org/10.7596/taksad.v6i5.1302Keywords:
Ontology, Geometry, Existence, Euclidean geometry, Non-Euclidean geometry, Mathematics, Space, Time.Abstract
In the framework of hundreds of ontologies that already exist today, it would seem impossible to build other buildings of theories about the world. Any "new" thought will only be an element, a brick in defense and strengthening of a separate theory, or a stumbling block to the new great minds of mankind leading to new reflections and clarifications. Everyone who dared to reconsider the very foundations of the whole being of mankind was a kind of revolutionary and had the opportunity to be remembered as a great scientist, philosopher, artist, writer, thinker. Establishing a completely new and untested before the foundations of being, a person is able to discover unprecedented worlds, the worlds that had not previously imagined by anyone. This is what happened with the discovery of non-Euclidean geometry. The study is about the new ontologies that saw the light after this event, the new conditions for the existence of man, his renewed place in a very complicated world, and the consequences of such drastic changes.
References
Bell, E. T. (1945). The development of mathematics. McGraw-Hill Book Company.
Bell, E. T. (1986). Men of Mathematics. Touchstone Book.
Dostoyevsky, F. (2009). The Brothers Karamazov. Translated from the Russian by Constance Garnett. New York: The Lowell Press.
Euclid’s elements of geometry (2008). Edited, and provided with a modern English translation, by Richard Fitzpatrick.
Kant, I. (1998). Critique of Pure Reason. Cambridge University Press.
Kline, M. (1983). Mathematics: The Loss of Certainty. Oxford University Press.
Livanova, А. (1969). Three Fates. Comprehension of the world. Series: Life of great ideas. Issue 2. Moscow: Knowledge.
Lobachevsky, N. I. (1823). The origins and propagation of sound in the air // Kazan Vestnik. Part VII, Book I., pp. 49-60. URL: https://www.litprichal.ru/work/279494/
Lobachevsky, N. I. (1948). Algebra. Foreword // Lobachevsky N.I. complete set of works. Ed. Kagan. Vol. 4. Works on algebra. Moscow: State Publishing House of Technical and Theoretical Literature.
Mueller, I. (2006). Philosophy of Mathematics and Deductive Structure in Euclid's Elements. Dover Publications.
Perminov, V. Y. (2001). Philosophy and foundations of mathematics. Moscow: Progress-Traditsiya.
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