@misc{Lexicon of Arguments, title = {Quotation from: Lexicon of Arguments – Concepts - Ed. Martin Schulz, 28 Mar 2024}, author = {Waismann,Friedrich}, subject = {Expansion}, note = {I 21 Extension/Waismann: e.g. the law am x an = am + n would lose its validity for n = 0. Through the convention a° = 1 the existing laws not only remain in force, they are also extended to a larger area. The maintenance of the laws thus regulates conceptual formation. I 44 Caution: rational numbers are not an extension of the integers. The system of the integers can be mapped to a part of the rational numbers such that the four types of arithmetic are preserved: one-to-one, similar, isomorphic.}, note = { Waismann I F. Waismann Einführung in das mathematische Denken Darmstadt 1996 Waismann II F. Waismann Logik, Sprache, Philosophie Stuttgart 1976 }, file = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=537759} url = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=537759} }