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We present a family of dialectic proof procedures for the admissibility semantics of assumption-based argumentation.
Finally, we present a variant of the procedure of [P.M. Dung, R.A. Kowalski, F. Toni, Dialectic proof procedures for assumption-based, admissible argumentation, Artificial Intelligence 170 (2006) 114 159] that is sound for the sceptical grounded semantics.
The procedures are adapted from (variants of) corresponding procedures for computing the credulous admissible semantics for assumption-based argumentation, proposed in [P.M. Dung, R.A. Kowalski, F. Toni, Dialectic proof procedures for assumption-based, admissible argumentation, Artificial Intelligence 170 (2006) 114 159].
We also prove that in the case of p-acyclic assumption-based argumentation frameworks (a variant of) the procedure of [P.M. Dung, R.A. Kowalski, F. Toni, Dialectic proof procedures for assumption-based, admissible argumentation, Artificial Intelligence 170 (2006) 114 159] for the admissible semantics is complete.
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Stepping back from the moral cognitivist/noncognitivist debate to the more general moral realist/anti-realist debate, can we detect a pattern in the dialectic indicating that burden of proof exercises of this kind generally favor one side over the other?
Hegel called this evolution "the dialectical process" (see dialectic).
For some philosophers of religion, the crucial arguments are the ones articulated in the Transcendental Dialectic of the Critique of Pure Reason against the proofs for the existence of God.
Here we settle for making one general point about the state of the dialectic here, and state where we believe the burden of proof lies.
Specifically, the middle section of the Dialectic, entitled "The Antinomy of Pure Reason", is supposed to provide this indirect proof.
Yay!" dialectic.
The dialectic hasn't ended.
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