Abstract

  With the advent of science, researchers are looking for a so-called "foundations of mathematics", and they can't find. Maybe they drive the search is in the wrong place? The authors traced the history of the issue from the biblical creation of the world to the present day. In the cognition of the world up to the apogee of Greek antiquity in the IV century BC Humanity (influenced by Plato's Teaching - especially!) relied on carefully concealed sacral Numbers of the secret union of religion and mathematics (faith and reason), but under influence of Aristotle - on the “first philosophy”(?), Which did not generate the promised “Beginnings of mathematics". But Aristotle managed to eradicate out of sciences and religions the mysterious Beginnings-Numbers of the ancients and Plato, incomprehensible to him. The lack of “foundations” was noticed only in the XVIII century. The researchers staged a “battle for the foundations” of the leading directions of mathematics, which ended in three centuries with the disappointment of all - there are no "foundations", and it is impossible to find them. The authors moved the search to the territory of Plato's misunderstood Doctrine and have already found 12 of the 16 eidos-ideals-Numbers predicted by him - the Divine Beginnings of "Plural " and even - “foundations of mathematics”. This greatly simplifies the understanding, construction and application of mathematics, other sciences and religions.

Keywords: God; World Mind; Ideas; Ideals; Categories; Foundations; Beginnings

References

1. Russel. “Introduction to Mathematical Philosophy”. London: George Allen and Unwin (1919).
2. Courant R. Siam Review (1962): 297-320.
3. Cline M. “Mathematics”. Loss of certainty. M.: The World (1984): 434.
4. Poincare A. “On Science M”. Science (1983): 560.
5. Poincare A. “Mathematics and Logic”. In kn.: New ideas in mathematics. IIh. M.: Education (1915).
6. Novikov PS. “Elements of Mathematical Logic”. M.: Science, (1973).
7. Gilbert D. Natural Science and Logic Kantov Collection 15.
8. Kuznetsov OP and Adelson-Velsky GM. “Discretionary Mathematics for Engineer”. M (1988): 480.
9. Panfilov Va. “Philosophical miscalculations of the matrix in Plato's teachings as the basis of metaphysics, humanitarian knowledge and spiritual creativity”. The Dn'propeter. Un. ½. 17 (2009): 3-18.
10. Kljujkov R and Kljujkov S. “Aristotelian curse. Book fourteenth”. London Published by IASHE (2016).
11. Kluykov RS and Kluykov SF. “The ideal mathematics of Plato”. Book ten. Saarbrücken, Germany: LAP Lambert Academic Publishing (2013): 134.
12. Klyykov RS and Klyykov SF. “Ideal induction algorithm”. Pages of History: Collection of scientific papers. Issue. 35-K.: NTUU "KPI" 264 (2013): 234-242.
13. Kljujkov RS and Kljujkov SF. “The Miracle of Plato”. Book Sixteenth. Mariupol: "Copy-print" (2015): 84.
14. Kljujkov RS and Kljujkov SF. “Alternative to World Stupidity”. Religion. Mathematical God. Book 21. Mariupol: Ltd. APLS The (2019): 189.
15. Kljujkov RS and Kljujkov SF. “Alternative to World Stupidity”. Science. "Lost" is a reasonable world. Book 22. Mariupol: PPNS Ltd (2019): 180.
16. Kljujkov RS and Kljujkov SF. “Formation of global economic system”. Visnyk Pryaz. State. Processin. Un. Series: Economic Sciences. Mariupol: PGTU 21 (2011): 173-177.
17. Kljujkov SF. “Numbers and cognition of the world”. Book two. Mariupol: Printing Center of Inform Mena newspaper (1997): 112.
18. Kljujkov RS and Kljujkov SF. “The Truth About Plato. Book eighteenth (Textbook 18 lectures). Mariupol: PPNS LLC (2017): 300.
19. Shiryaev VI and Kljujkov SF. “Study of the deformation of calibrated swaths of rolling mills. From. university”. Chern Metallurgy 6 (1976): 72-74.
20. Burbaki N. “Mathematics Architecture (Translation from Fran.)”. Mat. prose, ser. 2.5 (1960).
21. Encyclical letter "Fides et Ratio" of the supreme pontiff John Paul II to the bishops of the catholic church”. Libreria editrice Vaticana. Vaticancity (1988). 
22. Klyuykov RS and Klyuykov SF. "The mystical combination of the physical and the ideal". Outlook 4 (2018): 16-29.
23. Kljujkov RS and Kljujkov SF. “Tryumf Issksstvennogo Инtellekta”. The 18^th Ižnaratna Scientific and Technical conference artificial Intelligence and intellectual systems АiiS, Kyiv, KNU named after T. Shevchenko (2018).
24. Mikhailova NV. “Philosophy and Mathematics in Plato's Teachings: Development of Idea and Modernity”. Petersburg 3.6 (2014): 468-477.

Citation

Citation: Sergey Kljujkov. "Divine Beginnings All and the Foundations of Mathematics".Acta Scientific Applied Physics 1.1 (2020): 23-43.

Copyright

Copyright: © 2020 Sergey Kljujkov. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.