2000
DOI: 10.5840/monist20008328
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Are There Really Instantaneous Velocities?

Abstract: Zeno argued that since at any instant an arrow does not change its location, the arrow does not move at any time, and hence motion is impossible. I discuss the following three views that one could take in view of Zeno's argument: I) the 'at-at' theory, according to which there is no such thing as instantaneous velocity, while motion in the sense of the occupation of different locations at different times is possible, ii) the 'impetus' theory, according to which instantaneous velocities do exist but these are o… Show more

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Cited by 51 publications
(40 citation statements)
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“…For example, 'I cannot know whether the absolute mass is twice the actual mass' is clearly false, as is 'I cannot know, in principle, whether the absolute mass is the same as the absolute mass of that other object'. This failure of expressibility should not surprise us 66 : this is the content of kinematic comparativism, this is what it means, by definition, to be a dimensionful magnitude-in fact, as Table 1 shows, typical examples of expressible ignorance and knowledge are all dimensionless notions, and typical examples of inexpressible ignorance and knowledge are all dimensionful notions. This is why the Leibniz Scaling is (necessarily) formulated 'comparatively', as a multiplication mapping from the absolute masses in one possible world to the absolute masses in another possible world.…”
Section: Italics In Original]mentioning
confidence: 98%
See 1 more Smart Citation
“…For example, 'I cannot know whether the absolute mass is twice the actual mass' is clearly false, as is 'I cannot know, in principle, whether the absolute mass is the same as the absolute mass of that other object'. This failure of expressibility should not surprise us 66 : this is the content of kinematic comparativism, this is what it means, by definition, to be a dimensionful magnitude-in fact, as Table 1 shows, typical examples of expressible ignorance and knowledge are all dimensionless notions, and typical examples of inexpressible ignorance and knowledge are all dimensionful notions. This is why the Leibniz Scaling is (necessarily) formulated 'comparatively', as a multiplication mapping from the absolute masses in one possible world to the absolute masses in another possible world.…”
Section: Italics In Original]mentioning
confidence: 98%
“…This idea originates with Aristotle and was developed in the Middle Ages[66][67][68]. In more modern times it is associated, amongst others, with Russell[25] 57.…”
mentioning
confidence: 99%
“…Responses by Earman (2002), Floyd (2003), and Smith (2003 Arntzenius (2000). But most of what they have to say applies equally well to Albert (2000).…”
Section: It Follows That the Induced Operator T Takes The History T →mentioning
confidence: 99%
“…For a classic defense of the reductionist at-at theory of velocity, seeRussell (1937). SeeTooley (1998),Arntzenius (2000; 2012, ch.2),Carroll (2002),Lange (2005), and Easwaran (2014) for further discussion on both sides of the debate.…”
mentioning
confidence: 99%