Potential Infinity as the Paradigmatic Core of Postmodernism
https://doi.org/10.18384/2310-7227-2023-2-57-70
Abstract
Aim. To clarify the prospects for the development of European philosophy in connection with the postmodern rejection of modernity, classics in general. To show that behind this postmodern negative gesture the assertion of the problem of actual infinity lies.
Methodology. The research methodology is based on general scientific methods (analysis, synthesis, deduction), hermeneutical method, analogy. It is established that the philosophical and metaphysical aspect, which is rooted in the pre-philosophical tradition of the search for the transformation of nature, i1s generic for the problem of actual infinity.
Results. The author shows that European philosophy had a tendency to unreasonably reduce the problem of actual infinity to its quantitative aspect. At the same time, the peculiarity of the problem of actual infinity is that even an unjustified assumption of the possibility of its realization results in a real change in the nature of the finite, but the basis for it is no longer actual, but potential infinity, as Zeno showed. Potential infinity becomes the paradigmatic core of postmodernism within the framework of the restoration of the problem of actual infinity in its original sense as a problem of the transformation of nature, which leads beyond the limits of European philosophy proper.
Research implications. In the perspective set by this study, postmodernism turns out to be no longer a subverter of modernity, classics in general, but a reference to this broader context, on the interaction with which the future of European philosophy now depends.
About the Author
M. PhilatovaRussian Federation
Mariya I. Philatova – Cand. Sci. (Philosophy), Teacher of the Department of Philosophy
ul. Karla Marksa 70, Kursk 305021
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