On Atomic Lattices

Seung-On Lee, Yong-Ho Yon, In-Jae Hwang · Journal for History of Mathematics · 2006

The lattice originated from logic, not mathematics. Around 1880, Peirce thought that all the lattices were distributives, however corrected the error around 1890. In 1993, Birkhoff used the term lattice for the first time that had a different meaning from today's lattice. This paper introduces Peirce, and studies correlation among atomic lattices, atomistic lattices, J-lattices, strong lattices and distributive lattices.

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