A plea for multilateralism

Area of Science:

• Philosophy of Logic
• Formal Semantics
• Epistemology

Background:

• Ulf Hlobil and Robert Brandom's book "Reasons for Logic, Logic for Reasons" proposes a normative-pragmatic interpretation of implication and incompatibility.
• This interpretation is framed within a bilateral system, focusing on the inferential roles of statements.

Purpose of the Study:

• To evaluate the adequacy of Hlobil and Brandom's normative-pragmatic interpretation of implication.
• To examine the challenges posed by epistemic modal cases to their bilateral framework.
• To propose an alternative framework for understanding logical consequence and negation.

Main Methods:

• Analysis of epistemic modal cases.
• Critique of the bilateral interpretation of implication and negation.
• Exploration of a multilateral setting as an alternative framework.

Main Results:

• Hlobil and Brandom's normative-pragmatic interpretation of implication fails to adequately characterize consequence and implication.
• The bilateral condition relating negation to incompatibility encounters difficulties with epistemic modal cases.
• A multilateral setting offers a potential solution to the identified problems.

Conclusions:

• The bilateral normative-pragmatic approach to implication and incompatibility has limitations.
• Epistemic modal cases highlight the need for a more robust framework.
• A multilateral approach may provide a more adequate account of logical relations.