David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Forum Philosophicum: International Journal for Philosophy 12 (1):17 - 31 (2007)
The aim of this paper is to present a proof to the conclusion that is impossible to traverse an infinite series (in particular, an infinite series of past moments). This may also show (given additional assumptions) that the series of past moments cannot be infinite. In the first section I formulate five theses concerning traversing, successive addition and successive subtraction and I present the idea of the argument: if it were possible to traverse an infinite past, it should be in principle possible to go back, which is, however, impossible. The main body of the paper is concerned with working out a simple mathematical representation of some structural features of processes like traversing and successive addition. I also make a crucial distinction between completion of a process at a particular time and its timeless "completion" in infinite time. In section V, I present the formal proof and defend it against a possible objection of question-begging. Finally, I suggest that my argume
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Steven B. Cowan (1996). A Reductio Ad Absurdum of Divine Temporality. Religious Studies 32 (3):371 - 378.
Benjamin Brown (2005). Bonaventure on the Impossibility of a Beginningless World. American Catholic Philosophical Quarterly 79 (3):389-409.
William Lane Craig (2010). Taking Tense Seriously in Differentiating Past and Future. Faith and Philosophy 27 (4):451-456.
Quentin Smith (1987). Infinity and the Past. Philosophy of Science 54 (1):63-75.
Don Lodzinski (1995). Empty Time and the Eternality of God. Religious Studies 31 (2):187 - 195.
Nicholas Everitt (1998). Interpretations of God's Eternity. Religious Studies 34 (1):25-32.
Wes Morriston (2010). Beginningless Past, Endless Future, and the Actual Infinite. Faith and Philosophy 27 (4):439-450.
Wes Morriston (2002). Craig on the Actual Infinite. Religious Studies 38 (2):147-166.
Yaroslav D. Sergeyev (2008). A New Applied Approach for Executing Computations with Infinite and Infinitesimal Quantities. Informatica 19 (4):567-596.
Paul Kabay (2005). An Infinite Temporal Regress is Compatible with the Doctrine of Creatio Originans. International Journal for Philosophy of Religion 57 (2):123 - 138.
A. W. Moore (1990). The Infinite. Routledge.
Added to index2012-06-17
Total downloads13 ( #272,738 of 1,907,930 )
Recent downloads (6 months)6 ( #126,502 of 1,907,930 )
How can I increase my downloads?