Summary: Introduction to mathematical nominalism, with special attention to Chihara’s own development of the position and the objections of John Burgess and Gideon Rosen. Chihara provides an outline of his constructibility theory, which avoids quantification over abstract objects by making use of contructibility quantifiers which instead of making assertions about what exists, make assertions about what sentences can be constructed.
A Structural Account of Mathematics
Publisher’s Note: Charles Chihara’s new book develops and defends a structural view of the nature of mathematics, and uses it to explain a number of striking features of mathematics that have puzzled philosophers for centuries. The view is used to show that, in order to understand how mathematical systems are applied in science and everyday life, it is not necessary to assume that its theorems either presuppose mathematical objects or are even true. Chihara builds upon his previous work, in which he presented a new system of mathematics, the constructibility theory, which did not make reference to, or presuppose, mathematical objects. Now he develops the project further by analysing mathematical systems currently used by scientists to show how such systems are compatible with this nominalistic outlook. He advances several new ways of undermining the heavily discussed indispensability argument for the existence of mathematical objects made famous by Willard Quine and Hilary Putnam. And Chihara presents a rationale for the nominalistic outlook that is quite different from those generally put forward, which he maintains have led to serious misunderstandings. A Structural Account of Mathematics will be required reading for anyone working in this field. generally put forward, which he maintains have led to serious misunderstandings.
Pragmatism and Deflationism
Summary: A contemporary defense of a pragmatist account of truth, which contrasts the view with various versions of deflationism. Misak defends the claim that to grasp the concept of truth by exploring its connections with practices we engage in – including assertion, believing, reason-giving, and inquiry. The pragmatist conception of truth, it is argued, helps to elucidate realism/anti-realism: inquiry is truth-apt when it aims at establishing propositions that are indefeasible.
The American Pragmatists (The Oxford History of Philosophy)
Publisher’s Note: Cheryl Misak presents a history of the great American philosophical tradition of pragmatism, from its inception in the Metaphysical Club of the 1870s to the present day. She identifies two dominant lines of thought in the tradition: the first begins with Charles S. Peirce and Chauncey Wright and continues through to Lewis, Quine, and Sellars; the other begins with William James and continues through to Dewey and Rorty. This ambitious new account identifies the connections between traditional American pragmatism and twentieth-century Anglo-American philosophy, and links pragmatism to major positions in the recent history of philosophy, such as logical empiricism. Misak argues that the most defensible version of pragmatism must be seen and recovered as an important part of the analytic tradition.
Where Do Laws of Nature Come From?
Summary: Cartwright explains and defends the view that causal capacities are more fundamental than laws of nature. She does this by considering scientific practice: the kind of knowledge required to make experimental setups and predictions is knowledge of the causal capacities of the entities in those systems, not knowledge of laws of nature.
Mathematics and Reality
Publisher’s Note: Mary Leng offers a defense of mathematical fictionalism, according to which we have no reason to believe that there are any mathematical objects. Perhaps the most pressing challenge to mathematical fictionalism is the indispensability argument for the truth of our mathematical theories (and therefore for the existence of the mathematical objects posited by those theories). According to this argument, if we have reason to believe anything, we have reason to believe that the claims of our best empirical theories are (at least approximately) true. But since claims whose truth would require the existence of mathematical objects are indispensable in formulating our best empirical theories, it follows that we have good reason to believe in the mathematical objects posited by those mathematical theories used in empirical science, and therefore to believe that the mathematical theories utilized in empirical science are true. Previous responses to the indispensability argument have focussed on arguing that mathematical assumptions can be dispensed with in formulating our empirical theories. Leng, by contrast, offers an account of the role of mathematics in empirical science according to which the successful use of mathematics in formulating our empirical theories need not rely on the truth of the mathematics utilized.
Truth deserves to be believed
Abstract: Science seems generally to aim at truth. And governmental support of science is often premised on the instrumental value of truth in service of advancing our practical objectives, both as individuals and as communities, large and small. While there is some political expediency to this view, it is not correct. The value of truth is nowise that it helps us achieve our aims. In fact, just the contrary: truth deserves to be believed only on the condition that its claim upon us is orthogonal to any utility it might have in the service of (any and all) practical ends
Representationalism
Abstract: Representationalism, in its most widely accepted form, is the view that the human mind is an information-using system, and that human cognitive capacities are to be understood as representational capacities. This chapter distinguishes several distinct theses that go by the name “representationalism,” focusing on the view that is most prevalent in cogntive science. It also discusses some objections to the view and attempts to clarify the role that representational content plays in cognitive models that make use of the notion of representation.
Truth and Meaning: An Introduction to the Philosophy of Language
Summary: This lucid and wide-ranging volume constitutes a self-contained introduction to the elements and key issues of the philosophy of language. In particular, it focuses on the philosophical foundations of semantics, including the main challenges to and prospects for a truth conditional semantics. Since the book is neither single-mindedly philosophical, nor single-mindedly technical, it is an accessible introduction to the philosophical foundations of semantics, and will provide the ideal basis for a first course in the philosophy of language and philosophical logic.
Perception and Action: Alternative Views
Abstract: A traditional view of perception and action makes two assumptions: that the causal flow between perception and action is primarily linear or one-way, and that they are merely instrumentally related to each other, so that each is a means to the other. Either or both of these assumptions can be rejected. Behaviorism rejects the instrumental but not the one-way aspect of the traditional view, thus leaving itself open to charges of verificationism. Ecological views reject the one-way aspect but not the instrumental aspect of the traditional view, so that perception and action are seen as instrumentally interdependent. It is argued here that a better alternative is to reject both assumptions, resulting in a two-level interdependence view in which perception and action co-depend on dynamically circular subpersonal relations and as a result may be more than merely instrumentally interdependent. This is illustrated by reference to motor theories of perception and control theories of action.