The Logical Must


Book Description

"Maddy's short monograph looks at Wittgenstein's philosophy of logic, from the perspective of the form of naturalism that she calls "second philosophy." That view takes an empirical approach to logical truth -- essentially arguing that if philosophers want to understand the world, they should start from a position informed by scientific understandings of the world, because science is often a reliable guide to how the world works. Similarly, just like science, logic is also grounded in the structure of our world, and our basic cognitive machinery is tuned by evolutionary pressures to detect that structure where it occurs. Ludwig Wittgenstein (particularly in the "Tractatus") also linked the logical structure of representation with the structure of the world, but still insisted that the sense of our representations must be given prior to -- independently of -- any facts about how the world happens to be. When that requirement is removed, Wittgenstein's position in the Tractatus approaches Maddy's Second Philosophy -- that logic is grounded in the structure of the world and our representational systems reflect that structuring. The later Wittgenstein also hews closely to Second Philosophy, holding that our logical practices are grounded in our interests and motivations, and our natural inclinations, and the features of the world. In this sense, logic is no different from other descriptions of the world -- just more general and responding to features so basic and ubiquitous that they tend to go unnoticed. Maddy's Second Philosophy finds Wittgenstein as an important precursor and kindred spirit, and promotes a new view of him as a naturalistic phliosopher"--




The Logical Must


Book Description

The Logical Must is an examination of Ludwig Wittgenstein's philosophy of logic, early and late, undertaken from an austere naturalistic perspective Penelope Maddy has called "Second Philosophy." The Second Philosopher is a humble but tireless inquirer who begins her investigation of the world with ordinary perceptual beliefs, moves from there to empirical generalizations, then to deliberate experimentation, and eventually to theory formation and confirmation. She takes this same approach to logical truth, locating its ground in simple worldly structures and our knowledge of it in our basic cognitive machinery, tuned by evolutionary pressures to detect those structures where they occur. In his early work Tractatus Logico-Philosophicus, Wittgenstein also links the logical structure of representation with the structure of the world, but he includes one key unnaturalistic assumption: that the sense of our representations must be given prior to-independently of-facts about how the world is. When that assumption is removed, the general outlines of the resulting position come surprisingly close to the Second Philosopher's roughly empirical account. In his later discussions of logic in Philosophical Investigations and Remarks on the Foundations of Mathematics, Wittgenstein also rejects this earlier assumption in favor of a picture that arises in the wake of the famous rule-following considerations. Here Wittgenstein and the Second Philosopher operate in even closer harmony-locating the ground of our logical practices in our interests, our natural inclinations and abilities, and very general features of the world-until the Second Philosopher moves to fill in the account with her empirical investigations of the world and cognition. At this point, Wittgenstein balks, but as a matter of personal animosity rather than philosophical principle.




Every Thing Must Go


Book Description

Every Thing Must Go argues that the only kind of metaphysics that can contribute to objective knowledge is one based specifically on contemporary science as it really is, and not on philosophers' a priori intuitions, common sense, or simplifications of science. In addition to showing how recent metaphysics has drifted away from connection with all other serious scholarly inquiry as a result of not heeding this restriction, they demonstrate how to build a metaphysics compatible with current fundamental physics ('ontic structural realism'), which, when combined with their metaphysics of the special sciences ('rainforest realism'), can be used to unify physics with the other sciences without reducing these sciences to physics itself. Taking science metaphysically seriously, Ladyman and Ross argue, means that metaphysicians must abandon the picture of the world as composed of self-subsistent individual objects, and the paradigm of causation as the collision of such objects. Every Thing Must Go also assesses the role of information theory and complex systems theory in attempts to explain the relationship between the special sciences and physics, treading a middle road between the grand synthesis of thermodynamics and information, and eliminativism about information. The consequences of the author's metaphysical theory for central issues in the philosophy of science are explored, including the implications for the realism vs. empiricism debate, the role of causation in scientific explanations, the nature of causation and laws, the status of abstract and virtual objects, and the objective reality of natural kinds.




The Logical Alien


Book Description

“A remarkable book capable of reshaping what one takes philosophy to be.” —Cora Diamond, Kenan Professor of Philosophy Emerita, University of Virginia Could there be a logical alien—a being whose ways of talking, inferring, and contradicting exhibit an entirely different logical shape than ours, yet who nonetheless is thinking? Could someone, contrary to the most basic rules of logic, think that two contradictory statements are both true at the same time? Such questions may seem outlandish, but they serve to highlight a fundamental philosophical question: is our logical form of thought merely one among many, or must it be the form of thought as such? From Descartes and Kant to Frege and Wittgenstein, philosophers have wrestled with variants of this question, and with a range of competing answers. A seminal 1991 paper, James Conant’s “The Search for Logically Alien Thought,” placed that question at the forefront of contemporary philosophical inquiry. The Logical Alien, edited by Sofia Miguens, gathers Conant’s original article with reflections on it by eight distinguished philosophers—Jocelyn Benoist, Matthew Boyle, Martin Gustafsson, Arata Hamawaki, Adrian Moore, Barry Stroud, Peter Sullivan, and Charles Travis. Conant follows with a wide-ranging response that places the philosophical discussion in historical context, critiques his original paper, addresses the exegetical and systematic issues raised by others, and presents an alternative account. The Logical Alien challenges contemporary conceptions of how logical and philosophical form must each relate to their content. This monumental volume offers the possibility of a new direction in philosophy.




Necessity and Possibility


Book Description

Kurt Mosser argues that reading Kant's Critique of Pure Reason as an argument for such a logic of experience makes more defensible many of Kant's most controversial claims, and makes more accessible Kant's notoriously difficult text.




A Logical Foundation for Potentialist Set Theory


Book Description

A new approach to the standard axioms of set theory, relating the theory to the philosophy of science and metametaphysics.




The Logical Must


Book Description

"Maddy's short monograph looks at Wittgenstein's philosophy of logic, from the perspective of the form of naturalism that she calls "second philosophy." That view takes an empirical approach to logical truth -- essentially arguing that if philosophers want to understand the world, they should start from a position informed by scientific understandings of the world, because science is often a reliable guide to how the world works. Similarly, just like science, logic is also grounded in the structure of our world, and our basic cognitive machinery is tuned by evolutionary pressures to detect that structure where it occurs. Ludwig Wittgenstein (particularly in the "Tractatus") also linked the logical structure of representation with the structure of the world, but still insisted that the sense of our representations must be given prior to -- independently of -- any facts about how the world happens to be. When that requirement is removed, Wittgenstein's position in the Tractatus approaches Maddy's Second Philosophy -- that logic is grounded in the structure of the world and our representational systems reflect that structuring. The later Wittgenstein also hews closely to Second Philosophy, holding that our logical practices are grounded in our interests and motivations, and our natural inclinations, and the features of the world. In this sense, logic is no different from other descriptions of the world -- just more general and responding to features so basic and ubiquitous that they tend to go unnoticed. Maddy's Second Philosophy finds Wittgenstein as an important precursor and kindred spirit, and promotes a new view of him as a naturalistic phliosopher"--




Philosophy of Logical Systems


Book Description

This book addresses the hasty development of modern logic, especially its introducing and embracing various kinds of artificial languages and moving from the study of natural languages to that of artificial ones. This shift seemed extremely helpful and managed to elevate logic to a new level of rigor and clarity. However, the change that logic underwent in this way was in no way insignificant, and it is also far from an insignificant matter to determine to what extent the "new logic" only engaged new and more powerful instruments to answer the questions posed by the "old" one, and to what extent it replaced these questions with new ones. Hence, this movement has generated brand new kinds of philosophical problems that have still not been dealt with systematically. Philosophy of Logical Systems addresses these new kinds of philosophical problems that are intertwined with the development of modern logic. Jaroslav Peregrin analyzes the rationale behind the introduction of the artificial languages of logic; classifies the various tools which were adopted to build such languages; gives an overview of the various kinds of languages introduced in the course of modern logic and the motifs of their employment; discusses what can actually be achieved by relocating the problems of logic from natural language into them; and reaches certain conclusions with respect to the possibilities and limitations of this "formal turn" of logic. This book is both an important scholarly contribution to the philosophy of logic and a systematic survey of the standard (and not so standard) logical systems that were established during the short history of modern logic.




Logical Pluralism


Book Description

Consequence is at the heart of logic, and an account of consequence offers a vital tool in the evaluation of arguments. This text presents what the authors term as 'logical pluralism' arguing that the notion of logical consequence doesn't pin down one deductive consequence relation; it allows for many of them.




Logical Properties


Book Description

The concepts of identity, existence, predication, necessity, and truth are at the centre of philosophy and have rightly received sustained attention. Yet Colin McGinn believes that orthodox views of these topics are misguided in important ways. Philosophers and logicians have often distorted the nature of these concepts in an attempt to define them according to preconceived ideas. Logical Properties aims to respect the ordinary ways we talk and think when we employ these concepts, while at the same time showing that they are far more interesting and peculiar than some have supposed. There are real properties corresponding to these concepts - logical properties - that challenge naturalistic metaphysical views. These are not pseudo-properties or mere pieces of syntax. Logical Properties is written with the minimum of formal apparatus and deals with logico-linguistic issues as well as ontological ones. The focus is on trying to get to the essence of what the concept concerned stands for, and not merely finding some established notation for providing formal paraphrases.