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Süpergörevlerin Olabilirliği Üzerine

On the Possibility of Supertasks

Journal Name:

  • Beytulhikme An International Journal of Philosophy

Publication Year:

  • 2013

Key Words:

Keywords (Original Language):

Author NameUniversity of Author
Abstract (2. Language): 
Supertask, a notion in analytic philosophy, is the process of performing infinite number of operations in a finite amount of time. In this article, we argue about the logical possibility of per-forming a supertask with a focus on the analysis of S.C. Chihara’s discussion paper, and we try to find answers to his questions from a mathematical point of view. In the later sections of the paper, we give some known supertask models in philosophy and mathemat-ics.
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Abstract (Original Language): 
Analitik felsefenin kavramlarından biri olan süpergörev, son-lu bir zaman aralığında sonsuz işlem yapmaya denir. Bu makalede süpergörevlerin mantıksal açıdan uyumluluğu, temelde S.C. Chiha-ra’nın derlemesindeki fikirler analiz edilerek tartışılmış ve soruları-na matematiksel açıdan cevaplar aranmıştır. Makalenin devamında ise felsefe ve matematikte bilinen bazı süpergörev modelleri veril-miştir.
FULL TEXT (PDF): 
PDF icon arastrmx_25774_3_pp_171-180.pdf
  • 1
171-180
  • Turkish

REFERENCES

References: 

Thomson, J.F. (1954). Tasks and Super-Tasks. Analysis, XV:1-13.
Chihara, C.S. (1965). On the Possibility of Completing an Infinite Process. Philo-sophical Review, 74:74-87.
Weyl, H. & Wilczek, F. (2009). Philosophy of Mathematics and Natural Science. Princeton, NJ: Princeton University Press.
Black, M. (1959). The Nature of Mathematics: A Critical Survey, Paterson, NJ: Litle-field, Adams & Co.
Hamkins, J.D. & Lewis, A. (2000). Infinite Time Turing Machines. Journal of Symbolic Logic, 65(2): 567-604.
Earman, J. & Norton, J.D. (1993). Forever is a Day: Supertask in Pitowski and Malamenth-Hogarth Spacetimes. Philosophy of Science, 60(1): 22-42.
Hogarth, M. (1992). Does General Relativity Allow an Observer to View an Eter-nity in a Finite Time? Foundations of Physics Letters, 5: 173-181.
Owen, G.E.L. (1957). Zeno and the Mathematicians. Proceedings of the Aristotelian Society, 58: 199-204.
Müller, V.C. (2011). On the Possibilities of Hypercomputing Supertasks. Minds and Machines, 21(1): 83-96.
B e y t u l h i k m e 3 ( 1 ) 2013
B e y t u l h i k m e A n I n t e r n a t i o n a l J o u r n a l o f P h i l o s o p h y
Ahmet Çevik
180
Benacerraf, P. (1962). Tasks, Super-Tasks, and the Modern Eleatics. Journal of Philosophy, 59: 765-784.

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