A logical expression of reasoning

Synthese 154 (3):431 - 466 (2007)

A non-monotonic logic, the Logic of Plausible Reasoning (LPR), capable of coping with the demands of what we call complex reasoning, is introduced. It is argued that creative complex reasoning is the way of reasoning required in many instances of scientific thought, professional practice and common life decision taking. For managing the simultaneous consideration of multiple scenarios inherent in these activities, two new modalities, weak and strong plausibility, are introduced as part of the Logic of Plausible Deduction (LPD), a deductive logic specially designed to serve as the monotonic support for LPR. Axiomatics and semantics for LPD, together with a completeness proof, are provided. Once LPD has been given, LPR may be defined via a concept of extension over LPD. Although the construction of LPR extensions is first presented in standard style, for the sake of comparison with existing non-monotonic formalisms, alternative more elegant and intuitive ways for constructing non-monotonic LPR extensions are also given and proofs of their equivalence are presented.
Keywords Ampliative reasoning  Complex reasoning  Non-monotonic logic  Default logic  Epistemic modalities  Paraconsistency
Categories (categorize this paper)
DOI 10.1007/s11229-006-9128-7
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 47,149
External links

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

Logical Foundations of Probability.Rudolf Carnap - 1950 - Chicago]University of Chicago Press.
An Enquiry Concerning Human Understanding.David Hume - 1955 - In Steven M. Cahn (ed.), Exploring Philosophy: An Introductory Anthology. Oxford University Press. pp. 112.

View all 19 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Semantic Considerations on Non-Monotonic Reasoning.Piotr Rychlik - 1989 - Instytut Podstaw Informatyki Polskiej Akademii Nauk.
Why Non-Monotonic Logic is Inadequate to Represent Balancing Arguments.Jan-R. Sieckmann - 2003 - Artificial Intelligence and Law 11 (2-3):211-219.
Logic, Reasoning and the Logical Constants.Pascal Engel - 2006 - Croatian Journal of Philosophy 6 (2):219-235.
Azande Logic Versus Western Logic?Timm Triplett - 1988 - British Journal for the Philosophy of Science 39 (3):361-366.
Monotonicity in Practical Reasoning.Kenneth G. Ferguson - 2003 - Argumentation 17 (3):335-346.
Reasoning About Action and Change.Helmut Prendinger & Gerhard Schurz - 1996 - Journal of Logic, Language and Information 5 (2):209-245.


Added to PP index

Total views
52 ( #171,838 of 2,289,312 )

Recent downloads (6 months)
10 ( #86,340 of 2,289,312 )

How can I increase my downloads?


My notes

Sign in to use this feature