Logic, Epistemology and the Unity of Science, Vol 25: Between Logic and Reality

Majda Trobok · Nenad Mišcevi ˇ c´ · Berislav Žarnic´
Editors
Between Logic and Reality

Modeling Inference, Action
and Understanding


Preface
The papers collected in this book analyse the logic-mathematics-reality relationship
from different approaches and perspectives. It connects logical theory with more
concrete issues of rationality, normativity and understanding, thus pointing to a wide
range of potential applications.
Let us say a few words about the context in which the book was created. Continuing a longer tradition that started in the 1980s by the members of the Rijeka Analytic
Philosophy Circle (V. Muškardin, N. Smokrovic, B. Ber ´ ciˇ c, S. Priji ´ c-Samaržja, the ´
editors of the present volume, and others), the Department of Philosophy at the
University of Rijeka has been active in organizing international philosophical conferences and other philosophical events in Croatia establishing thus global and vital
connections between the philosophers from all sides of the world with those from
the local region, in particular those coming from academic communities in Bulgaria,
Croatia, Hungary, Italy, Serbia and Slovenia. Thanks to its cosmopolitan atmosphere
and a regard for logic, the Department of Philosophy at University of Rijeka, the
only analytic department of philosophy in Croatia, has provided a supporting environment for promoting logico-philosophical research. The book originated from two
recent conferences that took place in Rijeka.

We were also lucky to have on our side the hospitality of the Inter-University
Center Dubrovnik, where we organized or helped organizing a series of conferences,
most notably the yearly courses/conferences Analytic Philosophy: Epistemology
and Metaphysics, in particular the 2010 conference The Philosophy of Logical Consequence organized by Stewart Shapiro, and the Mind, World and Action course.
Also, two larger scientific projects funded by the Ministry of Science, Education
and Sports of Republic of Croatia have offered further institutional framework for
the initiatives that have led to the assembling of the book: Logic and Reality, and
Logical Structures and Intentionality.


Contents
1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  1
Majda Trobok, Nenad Mišcevi ˇ c, and Berislav Žarni ´ c´

Part I Logical and Mathematical Structures
2 Life on the Ship of Neurath: Mathematics in the Philosophy
of Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  11
Stewart Shapiro
3 Applied Mathematics in the Sciences . . . . . . . . . . . . . . . . . . . . . . . . . . . .  29
Dale Jacquette
4 The Philosophical Impact of the Löwenheim-Skolem Theorem . . . . .  59
Miloš Arsenijevic´
5 Debating (Neo)logicism: Frege and the Neo-Fregeans . . . . . . . . . . . . . .  83
Majda Trobok

Part II Epistemology and Logic
6 Informal Logic and Informal Consequence . . . . . . . . . . . . . . . . . . . . . . .  101
Danilo Šuster
7 Logical Consequence and Rationality . . . . . . . . . . . . . . . . . . . . . . . . . . . .  121
Nenad Smokrovic´
8 Logic, Indispensability and Aposteriority . . . . . . . . . . . . . . . . . . . . . . . .  135
Nenad Mišcevi ˇ c´

Part III Dynamic Logical Models of Meaning
9 Extended Game-Theoretical Semantics . . . . . . . . . . . . . . . . . . . . . . . . . .  161
Manuel Rebuschi
10 Dynamic Logic of Propositional Commitments . . . . . . . . . . . . . . . . . . .  183
Tomoyuki Yamada