scholarly journals FROM GEORG CANTOR TO ERNST MACH

Metaphysics ◽  
2020 ◽  
pp. 144-147
Author(s):  
S. A Vekshenov

In the review, in the context of the ideas of E. Mach, one of the key problems of modern natural science is touched upon: the correlation of “reductionism” and “holism”. If the idea of reductionism was unprecedentedly developed in the framework of the theory of sets and the Bourbaki program, then the Mach principle, as well as other ideas of the philosopher, are only on the rise. Nevertheless, there is a clear realization that the future lies behind these ideas and the book under review in this context seems extremely important.

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Jingsen Hu ◽  
Jianming Qi

Nonlinear science is a great revolution of modern natural science. As a result of its rise, the various branches of subjects characterized by nonlinearity have been developed vigorously. In particular, more attention to acquiring the exact solutions of a wide variety of nonlinear equations has been paid by people. In this paper, three methods for solving the exact solutions of the nonlinear 2 + 1 -dimensional Jaulent-Miodek equation are introduced in detail. First of all, the exact solutions of this nonlinear equation are obtained by using the exp − ϕ z -expansion method, tanh method, and sine-cosine method. Secondly, the relevant results are verified and simulated by using Maple software. Finally, the advantages and disadvantages of the above three methods listed in the paper are analyzed, and the conclusion was drawn by us. These methods are straightforward and concise in very easier ways.


2020 ◽  
pp. 40-44
Author(s):  
Nadezhda Nikolina

The main idea of the project discussed in the article is that the production of scientific knowledge is not only an experimental process. Convention among scientists is played a special role in the acceptance of theory. To demon-strate this idea, H. Collins and co-authors of the relativistic empirical programme in the sociology of science publish a special issue “Knowledge and Controversy: Studies of Modern Natural Science”. The results obtained by the authors are discussed in this article.


Author(s):  
Frederick C. Beiser

This chapter examines the so-called “materialism controversy,” one of the most important intellectual disputes of the second half of the nineteenth century. The dispute began in the 1850s, and its shock waves reverberated until the end of the century. The main question posed by the materialism controversy was whether modern natural science, whose authority and prestige were now beyond question, necessarily leads to materialism. Materialism was generally understood to be the doctrine that only matter exists and that everything in nature obeys only mechanical laws. If such a doctrine were true, it seemed there could be no God, no free will, no soul, and hence no immortality. These beliefs, however, seemed vital to morality and religion. So the controversy posed a drastic dilemma: either a scientific materialism or a moral and religious “leap of faith.” It was the latest version of the old conflict between reason and faith, where now the role of reason was played by natural science.


2015 ◽  
Vol 7 (6/1) ◽  
pp. 223-226
Author(s):  
Tatiana Ivanovna Avdeeva ◽  
Maria Ivanovna Vysokos ◽  
Svetlana Ivanovna Zykova

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