This book provides a framework for presenting algebras and frames arising as semantic structures for formal languages and for proving relationships between the structures. For this purpose a discrete framework, referred to as discrete duality, is used rather than a topological framework.Ideas from the classical dualities and representations of Stone, Priestley, and Urquhart are applied in such a w...

This volume includes fifteen research papers to celebrate Luiz Carlos Pereiras 60th birthday. Among the authors contributing to the volume we find colleagues, friends - including his PhD advisor - and admirers. Similar to Luiz Carlos Pereiras intellectual interests and work, the contributions range from Philosophy to Mathematics, from Mathematics to Logic, and from Logic to Philosophy, passing thr...

This volume includes fifteen research papers to celebrate Luiz Carlos Pereiras 60th birthday. Among the authors contributing to the volume we find colleagues, friends - including his PhD advisor - and admirers. Similar to Luiz Carlos Pereiras intellectual interests and work, the contributions range from Philosophy to Mathematics, from Mathematics to Logic, and from Logic to Philosophy, passing thr...

This volume includes fifteen research papers to celebrate Luiz Carlos Pereiras 60th birthday. Among the authors contributing to the volume we find colleagues, friends - including his PhD advisor - and admirers. Similar to Luiz Carlos Pereiras intellectual interests and work, the contributions range from Philosophy to Mathematics, from Mathematics to Logic, and from Logic to Philosophy, passing thr...

This volume includes fifteen research papers to celebrate Luiz Carlos Pereiras 60th birthday. Among the authors contributing to the volume we find colleagues, friends - including his PhD advisor - and admirers. Similar to Luiz Carlos Pereiras intellectual interests and work, the contributions range from Philosophy to Mathematics, from Mathematics to Logic, and from Logic to Philosophy, passing thr...

This volume includes fifteen research papers to celebrate Luiz Carlos Pereiras 60th birthday. Among the authors contributing to the volume we find colleagues, friends - including his PhD advisor - and admirers. Similar to Luiz Carlos Pereiras intellectual interests and work, the contributions range from Philosophy to Mathematics, from Mathematics to Logic, and from Logic to Philosophy, passing thr...

This volume includes fifteen research papers to celebrate Luiz Carlos Pereiras 60th birthday. Among the authors contributing to the volume we find colleagues, friends - including his PhD advisor - and admirers. Similar to Luiz Carlos Pereiras intellectual interests and work, the contributions range from Philosophy to Mathematics, from Mathematics to Logic, and from Logic to Philosophy, passing thr...

This volume includes fifteen research papers to celebrate Luiz Carlos Pereiras 60th birthday. Among the authors contributing to the volume we find colleagues, friends - including his PhD advisor - and admirers. Similar to Luiz Carlos Pereiras intellectual interests and work, the contributions range from Philosophy to Mathematics, from Mathematics to Logic, and from Logic to Philosophy, passing thr...

This volume includes fifteen research papers to celebrate Luiz Carlos Pereiras 60th birthday. Among the authors contributing to the volume we find colleagues, friends - including his PhD advisor - and admirers. Similar to Luiz Carlos Pereiras intellectual interests and work, the contributions range from Philosophy to Mathematics, from Mathematics to Logic, and from Logic to Philosophy, passing thr...

This volume includes fifteen research papers to celebrate Luiz Carlos Pereiras 60th birthday. Among the authors contributing to the volume we find colleagues, friends - including his PhD advisor - and admirers. Similar to Luiz Carlos Pereiras intellectual interests and work, the contributions range from Philosophy to Mathematics, from Mathematics to Logic, and from Logic to Philosophy, passing thr...

Implementing a programming language means bridging the gap from the programmers high-level thinking to the machines zeros and ones. If this is done in an efficient and reliable way, programmers can concentrate on the actual problems they have to solve, rather than on the details of machines. But understanding the whole chain from languages to machines is still an essential part of the training of ...

Implementing a programming language means bridging the gap from the programmers high-level thinking to the machines zeros and ones. If this is done in an efficient and reliable way, programmers can concentrate on the actual problems they have to solve, rather than on the details of machines. But understanding the whole chain from languages to machines is still an essential part of the training of ...

Perhaps the most counterintuitive property of classical logic (as well as of its most famous rival, intuitionistic logic) is the fact that it allows the inference of any proposition from a single pair of contradicting statements. A lot of work and efforts have been devoted over the years to develop alternatives to classical logic that do not have this drawback. Those alternatives are nowadays call...

Perhaps the most counterintuitive property of classical logic (as well as of its most famous rival, intuitionistic logic) is the fact that it allows the inference of any proposition from a single pair of contradicting statements. A lot of work and efforts have been devoted over the years to develop alternatives to classical logic that do not have this drawback. Those alternatives are nowadays call...

Perhaps the most counterintuitive property of classical logic (as well as of its most famous rival, intuitionistic logic) is the fact that it allows the inference of any proposition from a single pair of contradicting statements. A lot of work and efforts have been devoted over the years to develop alternatives to classical logic that do not have this drawback. Those alternatives are nowadays call...

Perhaps the most counterintuitive property of classical logic (as well as of its most famous rival, intuitionistic logic) is the fact that it allows the inference of any proposition from a single pair of contradicting statements. A lot of work and efforts have been devoted over the years to develop alternatives to classical logic that do not have this drawback. Those alternatives are nowadays call...

Perhaps the most counterintuitive property of classical logic (as well as of its most famous rival, intuitionistic logic) is the fact that it allows the inference of any proposition from a single pair of contradicting statements. A lot of work and efforts have been devoted over the years to develop alternatives to classical logic that do not have this drawback. Those alternatives are nowadays call...

Perhaps the most counterintuitive property of classical logic (as well as of its most famous rival, intuitionistic logic) is the fact that it allows the inference of any proposition from a single pair of contradicting statements. A lot of work and efforts have been devoted over the years to develop alternatives to classical logic that do not have this drawback. Those alternatives are nowadays call...

Russells paradox arises when we consider those sets that do not belong to themselves. The collection of such sets cannot constitute a set. Step back a bit. Logical formulas define sets (in a standard model). Formulas, being mathematical objects, can be thought of as sets themselves-mathematics reduces to set theory. Consider those formulas that do not belong to the set they define. The collection ...

Russells paradox arises when we consider those sets that do not belong to themselves. The collection of such sets cannot constitute a set. Step back a bit. Logical formulas define sets (in a standard model). Formulas, being mathematical objects, can be thought of as sets themselves-mathematics reduces to set theory. Consider those formulas that do not belong to the set they define. The collection ...

Russells paradox arises when we consider those sets that do not belong to themselves. The collection of such sets cannot constitute a set. Step back a bit. Logical formulas define sets (in a standard model). Formulas, being mathematical objects, can be thought of as sets themselves-mathematics reduces to set theory. Consider those formulas that do not belong to the set they define. The collection ...

Russells paradox arises when we consider those sets that do not belong to themselves. The collection of such sets cannot constitute a set. Step back a bit. Logical formulas define sets (in a standard model). Formulas, being mathematical objects, can be thought of as sets themselves-mathematics reduces to set theory. Consider those formulas that do not belong to the set they define. The collection ...

Russells paradox arises when we consider those sets that do not belong to themselves. The collection of such sets cannot constitute a set. Step back a bit. Logical formulas define sets (in a standard model). Formulas, being mathematical objects, can be thought of as sets themselves-mathematics reduces to set theory. Consider those formulas that do not belong to the set they define. The collection ...

Russells paradox arises when we consider those sets that do not belong to themselves. The collection of such sets cannot constitute a set. Step back a bit. Logical formulas define sets (in a standard model). Formulas, being mathematical objects, can be thought of as sets themselves-mathematics reduces to set theory. Consider those formulas that do not belong to the set they define. The collection ...

Russells paradox arises when we consider those sets that do not belong to themselves. The collection of such sets cannot constitute a set. Step back a bit. Logical formulas define sets (in a standard model). Formulas, being mathematical objects, can be thought of as sets themselves-mathematics reduces to set theory. Consider those formulas that do not belong to the set they define. The collection ...

Russells paradox arises when we consider those sets that do not belong to themselves. The collection of such sets cannot constitute a set. Step back a bit. Logical formulas define sets (in a standard model). Formulas, being mathematical objects, can be thought of as sets themselves-mathematics reduces to set theory. Consider those formulas that do not belong to the set they define. The collection ...

Russells paradox arises when we consider those sets that do not belong to themselves. The collection of such sets cannot constitute a set. Step back a bit. Logical formulas define sets (in a standard model). Formulas, being mathematical objects, can be thought of as sets themselves-mathematics reduces to set theory. Consider those formulas that do not belong to the set they define. The collection ...

This book sets out to encourage a debate about the role that economic theory and philosophy of economics can play. A good part of economics consists of theoretical developments which describe completely imaginary worlds and have no connections to actual market economies. If the purpose of theoretical and philosophical analysis in economics is to make a contribution to find out how modern market ec...

This book sets out to encourage a debate about the role that economic theory and philosophy of economics can play. A good part of economics consists of theoretical developments which describe completely imaginary worlds and have no connections to actual market economies. If the purpose of theoretical and philosophical analysis in economics is to make a contribution to find out how modern market ec...

This book sets out to encourage a debate about the role that economic theory and philosophy of economics can play. A good part of economics consists of theoretical developments which describe completely imaginary worlds and have no connections to actual market economies. If the purpose of theoretical and philosophical analysis in economics is to make a contribution to find out how modern market ec...

This book sets out to encourage a debate about the role that economic theory and philosophy of economics can play. A good part of economics consists of theoretical developments which describe completely imaginary worlds and have no connections to actual market economies. If the purpose of theoretical and philosophical analysis in economics is to make a contribution to find out how modern market ec...

This book sets out to encourage a debate about the role that economic theory and philosophy of economics can play. A good part of economics consists of theoretical developments which describe completely imaginary worlds and have no connections to actual market economies. If the purpose of theoretical and philosophical analysis in economics is to make a contribution to find out how modern market ec...

This book sets out to encourage a debate about the role that economic theory and philosophy of economics can play. A good part of economics consists of theoretical developments which describe completely imaginary worlds and have no connections to actual market economies. If the purpose of theoretical and philosophical analysis in economics is to make a contribution to find out how modern market ec...

The present book is the first monograph ever with a central focus on the proof theory of paraconsistent logics in the vicinity of the four-valued, constructive paraconsistent logic N4 by David Nelson. The volume brings together a number of papers the authors have written separately or jointly on various systems of inconsistency-tolerant logic. The material covers the structural proof theory of N4,...

The present book is the first monograph ever with a central focus on the proof theory of paraconsistent logics in the vicinity of the four-valued, constructive paraconsistent logic N4 by David Nelson. The volume brings together a number of papers the authors have written separately or jointly on various systems of inconsistency-tolerant logic. The material covers the structural proof theory of N4,...

The present book is the first monograph ever with a central focus on the proof theory of paraconsistent logics in the vicinity of the four-valued, constructive paraconsistent logic N4 by David Nelson. The volume brings together a number of papers the authors have written separately or jointly on various systems of inconsistency-tolerant logic. The material covers the structural proof theory of N4,...

The present book is the first monograph ever with a central focus on the proof theory of paraconsistent logics in the vicinity of the four-valued, constructive paraconsistent logic N4 by David Nelson. The volume brings together a number of papers the authors have written separately or jointly on various systems of inconsistency-tolerant logic. The material covers the structural proof theory of N4,...

The present book is the first monograph ever with a central focus on the proof theory of paraconsistent logics in the vicinity of the four-valued, constructive paraconsistent logic N4 by David Nelson. The volume brings together a number of papers the authors have written separately or jointly on various systems of inconsistency-tolerant logic. The material covers the structural proof theory of N4,...

The present book is the first monograph ever with a central focus on the proof theory of paraconsistent logics in the vicinity of the four-valued, constructive paraconsistent logic N4 by David Nelson. The volume brings together a number of papers the authors have written separately or jointly on various systems of inconsistency-tolerant logic. The material covers the structural proof theory of N4,...

The present book is the first monograph ever with a central focus on the proof theory of paraconsistent logics in the vicinity of the four-valued, constructive paraconsistent logic N4 by David Nelson. The volume brings together a number of papers the authors have written separately or jointly on various systems of inconsistency-tolerant logic. The material covers the structural proof theory of N4,...

The present book is the first monograph ever with a central focus on the proof theory of paraconsistent logics in the vicinity of the four-valued, constructive paraconsistent logic N4 by David Nelson. The volume brings together a number of papers the authors have written separately or jointly on various systems of inconsistency-tolerant logic. The material covers the structural proof theory of N4,...

The present book is the first monograph ever with a central focus on the proof theory of paraconsistent logics in the vicinity of the four-valued, constructive paraconsistent logic N4 by David Nelson. The volume brings together a number of papers the authors have written separately or jointly on various systems of inconsistency-tolerant logic. The material covers the structural proof theory of N4,...

J. Michael Dunn's PhD dissertation occupies a unique place in the development of the algebraic approach to logic. In The Algebra of Intensional Logics, Dunn introduced De Morgan monoids, a class of algebras in which the algebra of R (the logic of relevant implication) is free. This is an example where a logic's algebra is neither a Boolean algebra with further operations, nor a residuated distri...

J. Michael Dunn's PhD dissertation occupies a unique place in the development of the algebraic approach to logic. In The Algebra of Intensional Logics, Dunn introduced De Morgan monoids, a class of algebras in which the algebra of R (the logic of relevant implication) is free. This is an example where a logic's algebra is neither a Boolean algebra with further operations, nor a residuated distri...