# Infinite Regress ArgumentsThe Formal and Nonformal Logic of Infinite Concatenating Regresses

Infinite Regress Arguments: The Formal and Nonformal Logic of Infinite Concatenating Regresses [In this chapter I will explore the logic governing derivations of infinite concatenating regresses. There are at least two reasons why it is important to understand this logic: it will help us to improve our presentation and evaluation of infinite regress arguments that use concatenating regresses; and such regress arguments seem to be the most common. To facilitate this exploration I will make use of the notion of a recurring term, or a loop, and then prove that a regress formula entails a concatenating regress only if it blocks all possible recurring terms, or in other words, only if it blocks all possible loops. A further goal is to show that a strictly formal analysis of a regress formula is inadequate to give a complete account of the derivation of its intended concatenating regress: various semantic and contextual aspects of regress formulas need to be considered.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

# Infinite Regress ArgumentsThe Formal and Nonformal Logic of Infinite Concatenating Regresses

Part of the Argumentation Library Book Series (volume 17)
Infinite Regress Arguments — Nov 27, 2009
43 pages

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Publisher
Springer Netherlands
Copyright
© Springer Science+Business Media B.V. 2009
ISBN
978-90-481-3340-6
Pages
57 –100
DOI
10.1007/978-90-481-3341-3_2
Publisher site
See Chapter on Publisher Site

### Abstract

[In this chapter I will explore the logic governing derivations of infinite concatenating regresses. There are at least two reasons why it is important to understand this logic: it will help us to improve our presentation and evaluation of infinite regress arguments that use concatenating regresses; and such regress arguments seem to be the most common. To facilitate this exploration I will make use of the notion of a recurring term, or a loop, and then prove that a regress formula entails a concatenating regress only if it blocks all possible recurring terms, or in other words, only if it blocks all possible loops. A further goal is to show that a strictly formal analysis of a regress formula is inadequate to give a complete account of the derivation of its intended concatenating regress: various semantic and contextual aspects of regress formulas need to be considered.]

Published: Nov 27, 2009

Keywords: Relational Statement; Transitive Relation; Trigger Statement; Infinite Regress; Asymmetric Relation

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