An Analysis of Zeno’s Paradox and Non-measurable Sets Based on Dialectical Infinity

The Problem of Continuity and Discreteness is the basic problem of philosophy and mathematics. For a long time, there is no clear understanding of this problem, which leads to the stagnation of the problem, because the essence of the problem is a problem of finity and infinity. The essence of the philosophical thought on which the mathematical definition of “line segment is composed of dots” is the idea of actual infinity, and geometric dot is equivalent to algebraic zero in terms of measure properties. In view of the above contradictions, this paper presents two solutions satisfying both the philosophical and mathematical circles based on the view of dialectical infinity, and the authors make a deep analysis of Zeno’s paradox and the non-measurable set based on both solutions.

The Unreality of Time: A Critical Analysis

The problem of the metaphysics of time is whether the time is real or unreal. This paper will introduce some of the major positions and arguments concerning the unreality of time. We all know the external world is constantly changing. ‘Change is the only constant in life’. We get trapped in the illusion of time and space. But in reality, the past isn’t here anymore, the future yet to be seen, only the present moment seems to be real. But present time also flies or passes away very rapidly. Whenever we try to grasp it, it slips away. Before discussing the unreality of time, it is necessary to mention that we will deal with the ‘experience of time’ in this chapter. The mathematical or physicist concept of absolute time would not be discussed here. Firstly, ‘Motion is impossible’ would be discussed from Zeno’s paradox, followed by an effort to connect it with McTaggert’s argument on ‘Unreality of Time’. Then presentism and eternalism would be discussed in reference to the unreality of time.

Overcoming Zeno’s paradox: using long-exposure technology to capture a Deleuzo–Bergsonian perspective of movement in qualitative research

This methodological paper considers how movement may be captured and expressed in qualitative data. Beginning with a history of movement as it has been represented in empirical studies, this paper posits that movement has been undertheorized in qualitative research (via video and photograph); theorizes movement under the Deleuzo–Bergsonian concept of duration; and wonders how movement as a kind of ‘dynamic unity’ might be expressed as visual data. Using photographs collected from a troupe of fire-manipulating circus performers, this study suggests the use of long-exposure camera technology as one practical means of thinking about movement (as duration) in qualitative research.

From Figures of Paradox to a Philosophy of Review

This chapter examines the role of paradox in the films and film theory of Ken Jacobs, Hollis Frampton, and Michael Snow. Paradoxes such as Zeno’s paradox, Gödel’s incompleteness theorem, and Benoît Mandelbrot’s fractal theory of geometry, which inform the work of these filmmakers, propose and repeat the unresolvable gap between subject and world that informs skepticism. This chapter argues that the skeptical encounters these films invite, which entice the spectator to work toward solving a riddle or problem of incompleteness, also provide a model for overcoming skepticism by prompting re-encounters with the images on screen and the world to which they refer. These re-encounters occur in the same way that Stanley Cavell imagined the images of mainstream cinema could overcome problems of philosophical skepticism by drawing the subject closer to the world. The author argues, however, that these avant-garde meditations on mises en abyme are possibly more effective than Hollywood filmmaking for overcoming skepticism because of their more immediate emphasis on cinema’s very ability to engage and stage re-encounters between the subject and the limits of the world, rather than their reference to the world through images.