Between Logic and Reality: Modeling Inference, Action and Understanding (Logic, Epistemology, and the Unity of Science, Vol. 25)

Is reality logical and is logic real? What is the origin of logical intuitions? What is the role of logical structures in the operations of an intelligent mind and in communication? Is the function of logical structure regulative or constitutive or both in concept formation? This volume provides analyses of the logic-reality relationship from different approaches and perspectives. The point of convergence lies in the exploration of the connections between reality – social, natural or ideal – and logical structures employed in describing or discovering it. Moreover, the book connects logical theory with more concrete issues of rationality, normativity and understanding, thus pointing to a wide range of potential applications. The papers collected in this volume address cutting-edge topics in contemporary discussions amongst specialists. Some essays focus on the role of indispensability considerations in the justification of logical competence, and the wide range of challenges within the philosophy of mathematics. Others present advances in dynamic logical analysis such as extension of game semantics to non-logical part of vocabulary and development of models of contractive speech act. Front Matter....Pages i-x Introduction....Pages 1-7 Front Matter....Pages 9-9 Life on the Ship of Neurath: Mathematics in the Philosophy of Mathematics....Pages 11-27 Applied Mathematics in the Sciences....Pages 29-57 The Philosophical Impact of the Löwenheim-Skolem Theorem....Pages 59-81 Debating (Neo)logicism: Frege and the Neo-Fregeans....Pages 83-98 Front Matter....Pages 99-99 Informal Logic and Informal Consequence....Pages 101-120 Logical Consequence and Rationality....Pages 121-133 Logic, Indispensability and Aposteriority....Pages 135-157 Front Matter....Pages 159-159 Extended Game-Theoretical Semantics....Pages 161-182 Dynamic Logic of Propositional Commitments....Pages 183-200 Is Unsaying Polite?....Pages 201-224 Front Matter....Pages 225-225 Towards a Formal Account of Identity Criteria....Pages 227-242 A Mereology for the Change of Parts....Pages 243-259 Russell Versus Frege....Pages 261-268 Goodman’s Only World....Pages 269-280 Back Matter....Pages 281-282 Pt. 1. Logical and mathematical structures pt. 2. Epistemology and logic pt. 3. Dynamic logical models of meaning pt. 4. Logical methods in ontological and linguistic analyses.