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Intuition and the Axiomatic Method
Following developments in modern geometry, logic and physics, many scientists and philosophers in the modern era considered Kant’s theory of intuition to be obsolete. But this only represents one side of the story concerning Kant, intuition and twentieth century science. Several prominent mathematicians and physicists were convinced that the formal tools of modern logic, set theory and the axiomatic method are not sufficient for providing mathematics and physics with satisfactory foundations. All of Hilbert, Gödel, Poincaré, Weyl and Bohr thought that intuition was an indispensable element in describing the foundations of science. They had very different reasons for thinking this, and th...
Kant's Metaphysical Foundations of Natural Science
In his Metaphysical Foundations of Natural Science (1786), Kant accounts for the possibility of an acting-at-a-distance gravitational force, demonstrates the infinite divisibility of matter, and derives analogues to Newtonian laws of motion. The work is his major statement in philosophy of science, and was especially influential in German-speaking countries in the nineteenth century. However, this complex text has not received the scholarly attention it deserves. The chapters of this Critical Guide clarify the accounts of matter, motion, the mathematization of nature, space, and natural laws exhibited in the Metaphysical Foundations; elucidate the relationship between its metaphysics of nature and Kant's critical philosophy; and describe the historical context for Kant's account of natural science. The volume will be an invaluable resource for understanding one of Kant's most difficult works, and will set the agenda for future scholarship on Kant's philosophy of science.
Critical Views of Logic
This book examines positions that challenge the Fregean logic-first view. It raises critical questions about logic by examining various ways in which logic may be entangled with mathematics and metaphysics. Is logic topic-neutral and general? Can we take the application of logic for granted? This book suggests that we should not be dogmatic about logic but ask similar critical questions about logic as those Kant raised about metaphysics and mathematics. It challenges the Fregean logic-first view according to which logic is fundamental and hence independent of any extra-logical considerations. Whereas Quine assimilated logic and mathematics to the theoretical parts of empirical science, the p...
The Coherence of Kant's Transcendental Idealism
1. Introduction Kant considered the doctrine of transcendental idealism an indisp- sable part of the theory of knowledge presented in the Critique of Pure Reason. My aim in this book is to present a new defense of the coh- ence and plausibility of Kant’s transcendental idealism and its indisp- sability for his theory of knowledge. I will show that the main argument of the Transcendental Aesthetic and the Transcendental Analytic is - fensible independently of some of Kant’s claims which are said to threaten its coherence. I have undertaken an inquiry into the coherence of Kant’s transc- dental idealism for the following reasons. A defense of the coherence of transcendental idealism is r...
Foundations of Logical Consequence
Logical consequence is the relation that obtains between premises and conclusion(s) in a valid argument. Orthodoxy has it that valid arguments are necessarily truth-preserving, but this platitude only raises a number of further questions, such as: how does the truth of premises guarantee the truth of a conclusion, and what constraints does validity impose on rational belief? This volume presents thirteen essays by some of the most important scholars in the field of philosophical logic. The essays offer ground-breaking new insights into the nature of logical consequence; the relation between logic and inference; how the semantics and pragmatics of natural language bear on logic; the relativity of logic; and the structural properties of the consequence relation.
The Cambridge Companion to Kant
This 1992 volume is a systematic and comprehensive account of the full range of Kant's writings for the student and advanced scholar alike.
The Poverty of Conceptual Truth
R. Lanier Anderson presents a new account of Kant's distinction between analytic and synthetic judgments, and provides it with a clear basis within traditional logic. He reconstructs compelling claims about the syntheticity of elementary mathematics, and re-animates Kant's arguments against traditional metaphysics in the Critique of Pure Reason.
Kant on Self-Control
This Element considers Kant's conception of self-control and the role it plays in his moral philosophy. It offers a detailed interpretation of the different terms used by Kant to explain the phenomenon of moral self-control, such as 'autocracy' and 'inner freedom'. Following Kant's own suggestions, the proposed reading examines the Kantian capacity for self-control as an ability to 'abstract from' various sensible impressions by looking beyond their influence on the mind. This analysis shows that Kant's conception of moral self-control involves two intimately related levels, which need not meet the same criteria. One level is associated with realizing various ends, the other with setting moral ends. The proposed view most effectively accommodates self-control's role in the adoption of virtuous maxims and ethical end-setting. It explains why self-control is central to Kant's conception of virtue and sheds new light on his discussions of moral strength and moral weakness.
Mathematical Thought and its Objects
Charles Parsons examines the notion of object, with the aim to navigate between nominalism, denying that distinctively mathematical objects exist, and forms of Platonism that postulate a transcendent realm of such objects. He introduces the central mathematical notion of structure and defends a version of the structuralist view of mathematical objects, according to which their existence is relative to a structure and they have no more of a 'nature' than that confers on them. Parsons also analyzes the concept of intuition and presents a conception of it distantly inspired by that of Kant, which describes a basic kind of access to abstract objects and an element of a first conception of the infinite.
Deconstructing LEGO
This book investigates a paradox of creative yet scripted play—how LEGO invites players to build ‘freely’ with and within its highly structured, ideologically-laden toy system. First, this book considers theories and methods for deconstructing LEGO as a medium of bricolage, the creative reassembly of already-significant elements. Then, it pieces together readings of numerous LEGO sets, advertisements, videogames, films, and other media that show how LEGO constructs five ideologies of play: construction play, dramatic play, digital play, transmedia play, and attachment play. From suburban traffic patterns to architectural croissants, from feminized mini-doll bodies to toys-to-life stories, from virtual construction to playful fan creations, this book explores how the LEGO medium conveys ideological messages—not by transmitting clear statements but by providing implicit instructions for how to reassemble meanings it had all along.
