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EN
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 argument can contribute to constructing arguments for God's existence, and to solving the problem of the asymmetry of our attitudes towards death and prenatal non-existence.
2
75%
Forum Philosophicum
|
2007
|
vol. 12
|
issue 1
1-15
EN
Both in the East and in the West, there is, apart from the religious approach to God, also a purely rational one. Although in India philosophical speculation on God was mostly inextricably bound to religion, there have also been purely rational developments in Indian Theodicy. This is the case above all in the Nyāyavaiśeṣka system, where we find a purely rational and logical approach to the question of the existence and nature of God. It is the specific contribution of the Nyāyavaiśeṣka system to have developed a purely logical and rational argument for the existence of God. My purpose here is to take this proof in its developed form, as it is found in Gaşgeśa, and investigate its philosophical and logical implications.
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