We propose the concepts of philomatics and psychomatics as hybrid
combinations of philosophy and psychology with mathematics. We explain four
motivations for this combination which are fulfilling the desire of analytical
philosophy, proposing science of philosophy, justifying mathematical algorithms
by philosophy, and abstraction in both philosophy and mathematics. We enumerate
various examples for philomatics and psychomatics, some of which are explained
in more depth. The first example is the analysis of relation between the
context principle, semantic holism, and the usage theory of meaning with the
attention mechanism in mathematics. The other example is on the relations of
Plato's theory of forms in philosophy with the holographic principle in string
theory, object-oriented programming, and machine learning. Finally, the
relation between Wittgenstein's family resemblance and clustering in
mathematics is explained. This paper opens the door of research for combining
philosophy and psychology with mathematics.

本文提出了哲学与心理学与数学相结合的两个概念：philomatics 和 psychomatics，并解释了这种结合的四个动机：满足分析哲学的愿望，提出哲学科学，通过哲学为数学算法提供正当性，以及哲学和数学的抽象。文章举了各种 philomatics 和 psychomatics 的例子，并更深入地解释了其中一些例子，如数学中的上下文原则、语义整体主义和意义理论与注意机制的关系。另一个例子是哲学中的柏拉图形式理论与弦论、面向对象编程和机器学习中的全息原理的关系。最后，这篇论文阐明了维特根斯坦的家族相似性与数学中的聚类之间的关系。本文为结合哲学、心理学和数学的研究开辟了新的道路。