Article thumbnail
Location of Repository

The Aleph Zero or Zero Dichotomy

By Antonio Leon

Abstract

This paper proves the existence of a dichotomy which being formally derived from the topological successiveness of w-order leads to the same absurdity of Zeno's Dichotomy II. It also derives a contradictory result from the first Zeno's Dichotomy

Topics: Philosophy of Science
Year: 2006
OAI identifier: oai:cogprints.org:6043

Suggested articles

Citations

  1. (1981). A History of Greek Mathematics,
  2. (2004). A´tomos del espacio y del tiempo, Investigacio´n y Ciencia (Scientifc American)
  3. (1932). Abhandlungen, Verlag von
  4. (1950). Achilles and the Tortoise, Analysis XI
  5. (1992). An Epistemological Use of nonstandard Analysis to Answer Zeno’s Objections Against Motion, doi
  6. (2002). Change, Stanford Encyclopaedia of Philosophy
  7. (1998). Comments on Laraudogoitia’s ’classical Particle Dynamics, Indeterminism and a Supertask’, doi
  8. (2001). Comments on Professor Benacerraf’s Paper, Zeno’s Paradoxes
  9. (2005). Computacio´n en agujeros negros, Investigacio´n y Ciencia (Scientifc American)
  10. (1955). Contributions to the founding of the theory of transfinite numbers,
  11. (2004). Determinism: What We Have Learned and What We Still Don’t Know, Freedom and Determinism (Michael O’Rourke and
  12. (1992). Does General Relativity Allow an Observer to view an Eternity in a Finite Time?,
  13. (2001). El universo elegante, Editorial Cr´ıtica,
  14. (2002). Elementary Calculus. An Infinitesimal Approach,
  15. (2005). Ferna´ndez Barbo´n, Geometr´ıa no conmutativa y espaciotiempo cua´ntico., Investigacio´n y Ciencia
  16. (1993). Forever is a Day: Supertasks in Pitowsky and Malament-hogarth Spacetimes, doi
  17. (1976). Foundations of a General Theory of Manifolds, doi
  18. (1997). Foundations of Infinitesimal Calculus,
  19. (1998). Gredos,
  20. (1990). His mathematics and Philosophy of the Infinite, doi
  21. (1994). Histoire de l’infini. Le proble`me de l’infini dans la pense´e occidentale jusqu’‘a Kant, Les E´ditions du CERF,
  22. (1984). Hypertasks, doi
  23. (2003). Infinitesimal Calculus,
  24. (1995). Infinity and the Mind,
  25. (2001). Introduction, Zeno’s Paradoxes
  26. (2004). La evolucio´n creadora, Espasa Calpe,
  27. (2003). La informacio´n en un universo hologra´fico, Investigacio´n y Ciencia
  28. (1995). Lectures on the History of Philosophy.
  29. (1998). Lectures on the Hyperreals: An Introduction to Nonstandard Analysis,
  30. (1993). Les paradoxes de l’infini, Ed. du Seuil,
  31. (1997). Los agujeros negros y la paradoja de la informacio´n, Investigacio´n y Ciencia (Scientifc American)
  32. (1999). Matema´ticas y platonismo(s),
  33. (1997). Mathematics, Models and Zeno’s Paradoxes,
  34. (2001). Metrical Paradox of Extension, Zeno’s Paradoxes
  35. (1955). Modern Science and Refutation of the Paradoxes of Zeno, The Scientific Monthly LXXXI
  36. (1999). On the Dynamics of Perez Laraudogotia’s Supertask,
  37. (1996). Pains: The Trouble with Supertasks, Paul Benacerraf: The Philosopher and His Critics
  38. (1991). Part´ıculas elementales,
  39. (2001). Pre-socratic quantum gravity, Physics meets philosophy at the Planck scales
  40. (1998). Que´ son y para que´ sirven los nu´meros (was sind Und was sollen die Zahlen (1888)), Alianza,
  41. (2001). Science and Refutation of the Paradoxes of Zeno, Zeno’s Paradoxes
  42. (2001). Science and Zeno’s Paradoxes of Motion, Zeno’s Paradoxes
  43. (1967). Science and Zeno’s Paradoxes, George Allen And Unwin Ltd,
  44. (1996). Some Problems of Philosophy,
  45. (1988). Superstrings: A Theory of Everything?, Superstrings: A Theory of Everything?
  46. (1954). Tasks and Supertasks,
  47. (1962). Tasks, Super-tasks, and Modern Eleatics,
  48. (2001). The Cinematographic View of Becoming, Zeno’s Paradoxes
  49. (2004). The Fabric of the Cosmos. Space. Time. And the Texture of Reality, doi
  50. (1915). The History of Zeno’s Arguments on Motion, American Mathematical Monthly XXII
  51. (2007). The motion paradox,
  52. (2001). The Problem of Infinity Considered Historically, Zeno’s Paradoxes
  53. (1920). The Purpose of Zeno’s Arguments on Motion, Isis III
  54. (2003). The Quantum of Area?,
  55. (1994). The Theory of the Transfinite. doi
  56. (1908). The unreality of time, doi
  57. (1998). Thomson’s Lamp is Dysfunctional,
  58. (2003). Three roads to quantum gravity. A new understanding of space, time and the universe,
  59. (2003). Time and Classical and Quantum Mechanics: Indeterminacy vs.
  60. U¨ber Eine elementare frage der mannigfaltigkeitslehre,
  61. (1995). Una resolucio´n de las paradojas de Zeno´n, Investigacio´n y Ciencia (Scientifc American)
  62. (1966). unendliche lineare Punktmannigfaltigkeiten, Abhandlungen mathematischen und philosophischen Inahalts
  63. (2000). What is a Newtonian System? The Failure of Energy Conservation and Determinism in Supertasks,
  64. (1998). Wittgenstein, finitism and the foundations of mathematics, doi
  65. (2005). Zeno meets modern science,
  66. (2006). Zeno´n de Elea, Sexto Piso,
  67. (2004). Zeno’s Paradoxes, The Stanford Encyclopaedia of Philosophy (Summer
  68. Zeno’s Paradoxes: A Timely Solution,
  69. zur Begru¨ndung der transfiniten Mengenlehre,

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.