![...the relation of betweenness on the torus is undetermined for curves that cannot be contracted to a point [e. g., circles around a doughnut hole], i. e., for three of such curves it is not uniquely determined which of them lies between the other two... This indeterminateness... has the consequence that such a curve [alone] does not divide the surface of the torus into two separate domains; between points to the "right" and to the "left" of the line. (Hans Reichenbach)](https://cdn.quotesdtb.com/img/quotes_images_webp/96/hans-reichenbach-consequence-curve-314496.webp)
...the relation of betweenness on the torus is undetermined for curves that cannot be contracted to a point [e. g., circles around a doughnut hole], i. e., for three of such curves it is not uniquely determined which of them lies between the other two... This indeterminateness... has the consequence that such a curve [alone] does not divide the surface of the torus into two separate domains; between points to the "right" and to the "left" of the line.
Hans ReichenbachRelated topics
consequence curve divide doughnut hole left line point relation right separate surface three torus lies betweenness indeterminateness pointsRelated quotes
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