Mathematical pluralism can take one of three forms: (1) every consistent mathematical theory consists of truths about its own domain of individuals and relations; (2) every mathematical theory, consistent or inconsistent, consists of truths about its own (possibly uninteresting) domain of individuals and relations; and (3) the principal philosophies of mathematics are each based upon an insight or truth about the nature of mathematics that can be validated. (1) includes the multiverse approach to set theory. (2) helps us to understand the significance of the distinguished non-logical individual and relation terms of even inconsistent theories. (3) is a metaphilosophical form of mathematical pluralism and hasn't been discussed in the literature. In what follows, I show how the analysis of theoretical mathematics in object theory exhibits all three forms of mathematical pluralism.

中文翻译：

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数学多元论

数学多元主义可以采取以下三种形式之一：（1）每一个一致的数学理论都包含关于它自己的个体和关系领域的真理；(2) 每一个数学理论，无论是一致的还是不一致的，都包含关于它自己的（可能是无趣的）个人和关系领域的真理；(3) 主要的数学哲学均基于关于数学本质的可验证的洞察力或真理。(1) 包括集合论的多元宇宙方法。(2) 帮助我们理解不同的非逻辑个体和关系项的重要性，甚至是不一致的理论。(3) 是数学多元论的一种元哲学形式，尚未在文献中讨论过。接下来，