This is a companion article to the translation of ‘Zasada sprzeczności a logika symboliczna’, the appendix on symbolic logic of Jan Łukasiewicz's 1910 book O zasadzie sprzeczności u Arytotelesa (On the Principle of Contradiction in Aristotle). While the appendix closely follows Couturat's 1905 book L'algebra de la logique (The Algebra of Logic), footnotes show that Łukasiewicz was aware of the work of Peirce, Huntington and Russell (before Principia Mathematica). This appendix was influential in the development of the Polish school of logic, directly inspiring Stanisław Leśniewski and Leon Chwistek and more widely by serving as a text of the new symbolic logic. This appendix was an important source of the dominant algebraic logic in Poland, but also indicates that Łukasiewicz appreciated Russell's axiomatic approach to logic.

中文翻译：

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Jan Łukasiewicz 的“矛盾和符号逻辑原理”

这是“Zasada sprzeczności a logika symbolszna”翻译的配套文章，Jan Łukasiewicz 1910 年出版的书 O zasadzie sprzeczności u Arytotelesa（论阿里斯托的矛盾原则）的符号逻辑附录。虽然附录紧跟 Couturat 1905 年出版的 L'algebra de la logique（逻辑代数）一书，但脚注表明 Łukasiewicz 知道 Peirce、Huntington 和 Russell（在 Principia Mathematica 之前）的工作。该附录对波兰逻辑学派的发展产生了影响，直接启发了 Stanisław Leśniewski 和 Leon Chwistek，并作为新符号逻辑的文本在更广泛的范围内受到启发。这个附录是波兰占主导地位的代数逻辑的重要来源，但也表明 Łukasiewicz 赞赏罗素的逻辑公理方法。