This paper studies analogical proportions in monounary algebras consisting only of a universe and a single unary function. We show that the analogical proportion relation is characterized in the infinite monounary algebra formed by the natural numbers together with the successor function via difference proportions.
翻译:本文研究单元代数中的类似比例,仅由宇宙和单元函数组成。我们显示,模拟比例关系以自然数字形成的无限单元代数为特征,而后继函数则以差异比例组成。