Geometry, Time and the Law of Continuity: Difference between revisions
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| url = [https://web.archive.org/web/20120209133704/http://www.n01a.org/archive/continuity/index.html Link to paper (Internet Archive)] | | url = [https://web.archive.org/web/20120209133704/http://www.n01a.org/archive/continuity/index.html Link to paper (Internet Archive)] | ||
| author = [[Velimir Abramovic]] | | author = [[Velimir Abramovic]] | ||
| keywords = geometry, time | |||
| published = 2008 | | published = 2008 | ||
}} | }} | ||
Latest revision as of 07:32, 21 July 2026
| Scientific Paper | |
|---|---|
| Title | Geometry, Time and the Law of Continuity |
| Read in full | Link to paper (Internet Archive) |
| Author(s) | Velimir Abramovic |
| Keywords | geometry, time |
| Published | 2008 |
Read the full paper here (archived copy — the original link is no longer available)
Abstract
"The law of continuity ... consists of ... that each quantity, in experiencing a transition from one magnitude into another, must pass through all the intermediary quantities of the same sort. This is usually expressed by stating that the transition occurs through intermediate stages. Maupertuis considered these stages to be a number of minute additions occurring in a moment of time. He thought that the law must be violated at the same time for it is violated equally by the smallest leap or the greatest leap, since the concepts of small and great are quite relative. He was right if the term 'stage' denotes an instantaneous increment in any quantity. Really, it should be so conceived that particular states correspond to particular instants, whereas increases or decreases correspond exclusively to very small continuous intervals of time".