Table of Contents
The logic of defeasible argumentation
Argument structure and attack
Example: an undercutter
Overview
CumulA’s defeaters
The attack relation as a graph
A defeater
Undercutting defeat: the simplest form
An undercutter as the conclusion of a non-trivial argument
Defeater schemes
Undercutting defeat: the general form
A defeater scheme
Legend
A catalogue of types of defeat
Example: a rebutter
Rebutting defeat
An example of defeat by sequential weakening
Defeat by sequential weakening
An example of defeat by parallel strengthening
Defeat by parallel strengthening
Argument structure and defeat
Initials, narrowings and defeat
An argument and its subarguments
An argument and its initials
An argument and its narrowings
PPT Slide
An undefeated argument with a defeated narrowing
An undefeated argument with a defeated narrowing
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The accrual of reasons
PPT Slide
An argument saving one of its narrowings from being defeated
An argument saving one of its narrowings from being defeated
PPT Slide
Argumentation stages for unstructured arguments
Direct and indirect defeat
Argumentation stages with structured arguments
Argumentation stages with structured arguments
PPT Slide
PPT Slide
A classification of theories of defeat
Sentence-type defeat
Special case: assumption-type defeat
Example of assumption-type defeat
Not an example of assumption-type defeat
Step-type defeat
Composite-type defeat
PPT Slide
Pollock
Vreeswijk
Simari and Loui
Bondarenko, Toni, Kowalski
Prakken and Sartor
CumulA
PPT Slide
Summary
PPT Slide
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