id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_xx4ce5wo4be2ljwvdreiyhpwyu	Hans Colonius	On Weak Extensive Measurement	1978	7	.pdf	application/pdf	2842	342	80	Extensive measurement is called weak if the axioms allow two objects [a] will denote the Archimedean equivalence class (AEC) A pair of elements a, b in A is called anomalous if a * b Analoguously, two elements form an anomalous pair if 2For results on the relation between Archimedean equivalence and anomalous pairs Anomalous pairs may exist even if certain Archimedean properties In what follows, we shall give representations admitting anomalous pairs. Theorem I (Archimedean Case). Condition (4) is an Archimedean axiom stating that any two elements holds in any AEC, Theorem 1 implies that a fully ordered semigroup consisting of one AEC P of positive elements is order-homomorphic Theorem 2 (Non-Archimedean Case). practice: it follows from Theorem 1 that a O b > b O a in an AEC an anomalous pair with a null element; this is prohibited by the definition "Measurement Without Archimedean Axioms," Philosophy of Science 	./cache/work_xx4ce5wo4be2ljwvdreiyhpwyu.pdf	./txt/work_xx4ce5wo4be2ljwvdreiyhpwyu.txt