Lexicon of Arguments

Philosophical and Scientific Issues in Dispute
 
[german]


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Kursbuch 8 Mathematik, Frankfurt/M. März 1967
12
Weierstraß/Russell: banished the infinitesimal variable from mathematics - VsZenon: error: to think that the world must always be the same because there is no state of change. - Without infinitesimal variables: time: there is no more "next moment". - No immediate result of two moments - in between there are ever more moments. - Space: ditto: is always further divisible.
>Time.
- - -
B. Russell, ABC of Relativity Theory Frankfurt 1989
II 46
Def "space-like"/Russell: two events are space-like if it is impossible for a body to move fast enough to be present at both events - but it can be "halfway" and perceive both as happening at the same time.
Def "time-like"/Russell: two events are time-like if it is possible for a physical body to be present at both events. Borderline case: E.g. two events as part of a light beam or - E.g. an event. perception of the other event: then distance 0.
Def Distance/Russell: is a physical fact which is part of the events and does not depend on the circumstances of observer.
Neglecting gravitation, one can apply the Special Theory of Relativity. Then the distance between two events can be calculated if one knows the spatial and temporal distance, measured by an arbitrary observer.
>Theory of Relativity.

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