Abstract

In the present paper, we discuss the notion of “tropical mathematics” in view of the fact that, up to the present time, there is no generally accepted correct understanding of this notion. The paper presents, rather than mathematical proofs, humanitarian and social justification of the correct understanding of the term. The author proposes to describe the term “tropical mathematics” by means of a frame based on linguistic, psychological, and cognitive considerations. As an example of the new reality to which tropical mathematics can be applied, one can consider the group of the richest men on our planet, say those who appear in the corresponding lists of the American financial journal “Forbes.” Once a person has joined this group, he has reached a different state and will have special relationships with the rest of the world. To support the claim that tropical mathematics is in a sense “fantastic”, we shall present some unexpected viewpoints of this science. It will also be shown that in tropical mathematics such classical mathematical principles as the Duhamel principle or the Fredholm alternative remain valid.

中文翻译：

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“热带数学”一词的动机和实质

摘要

在本文中，我们针对“热带数学”的概念进行了讨论，因为到目前为止，还没有普遍接受的对该概念的正确理解。本文提供了对该术语的正确理解的人道主义和社会理由，而不是数学证明。作者建议通过基于语言，心理和认知考虑的框架来描述“热带数学”一词。例如，出现在美国金融杂志《福布斯》（Forbes）相应列表中的人就是一个可以应用热带数学的新现实的例子，可以考虑地球上最富有的人。一旦一个人加入了这个小组，他将达到一个不同的状态，并将与世界其他地区建立特殊的关系。为了支持热带数学在某种意义上是“奇妙的”的说法，我们将提出一些关于该科学的意想不到的观点。还将表明，在热带数学中，诸如Duhamel原理或Fredholm备选方案之类的经典数学原理仍然有效。