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Kategorie szczegółowe BISAC
 The Limits of Logic : Higher-Order Logic and the Loewenheim-Skolem Theorem Stewart Shapiro   9781855217317 Dartmouth Publishing Co Ltd
The Limits of Logic : Higher-Order Logic and the Loewenheim-Skolem Theorem

Stewart Shapiro
The International research Library of Philosophy collects in book form a wide range of important and influential essays in philosophy, drawn predominantly from English-language journals. Each volume in the library deals with a field of enquiry which has received significant attention in philosophy in the last 25 years and is edited by a philosopher noted in that field.
The International research Library of Philosophy collects in book form a wide range of important and influential essays in philosophy, drawn predomina...
cena: 1243,48 zł
 Thinking about Mathematics : The Philosophy of Mathematics Stewart Shapiro 9780192893062 0
Thinking about Mathematics : The Philosophy of Mathematics

Stewart Shapiro
This unique book by Stewart Shapiro looks at a range of philosophical issues and positions concerning mathematics in four comprehensive sections. Part I describes questions and issues about mathematics that have motivated philosophers since the beginning of intellectual history. Part II is an historical survey, discussing the role of mathematics in the thought of such philosophers as Plato, Aristotle, Kant, and Mill. Part III covers the three major positions held throughout the twentieth century: the idea that mathematics is logic (logicism), the view that the essence of mathematics is the...
This unique book by Stewart Shapiro looks at a range of philosophical issues and positions concerning mathematics in four comprehensive sections. Part...
cena: 185,51 zł
 Philosophy of Mathematics : Structure and Ontology Stewart Shapiro 9780195139303 0
Philosophy of Mathematics : Structure and Ontology

Stewart Shapiro
Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that standard realist and antirealist accounts of mathematics are both problematic.

As Benacerraf first noted, we are confronted with the following powerful dilemma. The desired continuity between mathematical and, say, scientific language suggests realism, but realism in this context suggests seemingly intractable epistemic problems. As a way...

Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether...
cena: 470,99 zł
 Foundations without Foundationalism : A Case for Second-Order Logic Stewart Shapiro 9780198250296 0
Foundations without Foundationalism : A Case for Second-Order Logic

Stewart Shapiro
The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develop the argument fully, the author presents a detailed description of higher-order logic, including a comprehensive discussion of its semantics. He goes on to demonstrate the prevalence of second-order concepts in mathematics and the extent to which mathematical ideas can be formulated in higher-order logic. He also shows how first-order languages are often insufficient to codify many concepts in contemporary mathematics, and thus that both first-...
The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develo...
cena: 373,12 zł
 Varieties of Logic Stewart Shapiro (Ohio State University) Stewart Shapiro  9780198822691 Oxford University Press
Varieties of Logic

Stewart Shapiro (Ohio State University) Stewart Shapiro
Logical pluralism is the view that different logics are equally appropriate, or equally correct. Logical relativism is a pluralism according to which validity and logical consequence are relative to something. In Varieties of Logic, Stewart Shapiro develops several ways in which one can be a pluralist or relativist about logic. One of these is an extended argument that words and phrases like 'valid' and 'logical consequence' are polysemous or, perhaps better, are cluster concepts. The notions can be sharpened in various ways. This explains away the 'debates' in the literature between...
Logical pluralism is the view that different logics are equally appropriate, or equally correct. Logical relativism is a pluralism according to which...
cena: 131,73 zł


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