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Bare Facts and Naked Truths
The very idea of truth as a substantial and meaningful concept has been under attack recently from advocates of New Age and postmodern theories. In this book Englebretsen defends the notions of truth and objectivity as key to the scientific view of the natural world and presents an original defence of the 'commonsense' correspondence theory of truth. Englebretsen's approach overcomes the traditional difficulties of correspondence theories of truth with providing adequate and convincing accounts of truth-bearers, truth-makers and the correspondence relation between them by taking truth-bearers to be propositions and facts as constitutive properties of the world. This accessibly written book surveys all of the major competing theories of truth (coherence, pragmatic, redundancy, semantic, deflationary, disquotational, minimalist) before formulating the new defence of the correspondence theory and then exploring the consequences of the theory for issues in epistemology and ontology. The book concludes by showing how the idea of 'propositional depth' can be used to dissolve the Liar paradoxes.
Something To Reckon With
By delving into the history and envelopment of logic from its beginnings to the modern era, George Englebretsen rehabilitates term logic and demonstrates that an enhanced traditional logic remains a viable possibility. Taking inspiration from Fred Sommers' work, he creates an updated and fascinating version of term logic; one he believes to be just as legitimate as, and in ways superior to, the currently predominant mathematical logic.
Philosophical Logic
Introduces students to non-classical logic, syllogistic, to quantificational and modal logic. The book includes exercises throughout and a glossary of terms and symbols.
Robust Reality
Contemporary analytic philosophy can generally be characterized by the following tendencies: commitment to first-order predicate logic as the only viable formal logic; rejection of correspondence theories of truth; a view of existence as something expressed by the existential quantifier; and a metaphysics that doesn't give the world as a whole its due. This book seeks to offer an alternative analytic theory, one that provides a unified account of what there is, how we speak about it, the underlying logic of our language, how the truth of what we say is determined, and the central role of the real world in all of this. The result is a robust account of reality. The inspiration for many of the ideas that constitute this overall theory comes from such sources as Aristotle, Leibniz, Ryle, and Sommers.
The New Syllogistic
During the last two decades, Fred Sommers has succeded in building a system of logic based on a traditional view of logical syntax. This logic and the algorithm devised for it pose a significant challenge to the established dominant views of Fregean logic. This collection consists of fourteen essays by Sommers, his defenders, and his critics. These essays present the elements of Sommers' «new syllogistic, » explore some of its historical antecedents, examine many of its features in light of the now standard logic, and open new avenues of research by way of extending or modifying many of Sommers' original ideas on syntax, semantics, pronominalization, and truth.
Exploring Topics in the History and Philosophy of Logic
While post-Fregean logicians tend to ignore or even denigrate the traditional logic of Aristotle and the Scholastics, new work in recent years has shown the viability of a renewed, extended, and strengthened logic of terms that shares fundamental features of the old syllogistic. A number of logicians, following the lead of Fred Sommers, have built just such a term logic. It is a system of formal logic that not only matches the expressive and inferential powers of today’s standard logic, but surpasses it and is far simpler and more natural. This book aims to substantiate this claim by exhibiting just how the term logic can shed need light on a variety of challenges that face any system of formal logic.
Figuring It Out
Many systems of logic diagrams have been offered both historically and more recently. Each of them has clear limitations. An original alternative system is offered here. It is simpler, more natural, and more expressively and inferentially powerful. It can be used to analyze not only syllogisms but arguments involving relational terms and unanalyzed statement terms.
An Invitation to Formal Reasoning
An Invitation to Formal Reasoning introduces the discipline of formal logic by means of a powerful new system formulated by Fred Sommers. This system, term logic, is different in a number of ways from the standard system employed in modern logic; most striking is its greater simplicity and naturalness. Based on a radically different theory of logical syntax than the one Frege used when initiating modern mathematical logic in the 19th Century, term logic borrows insights from Aristotle's syllogistic, Scholastic logicians, Leibniz, and the 19th century British algebraists. Term logic takes its syntax directly from natural language, construing statements as combinations of pairs of terms, where...
Essays on the Philosophy of Fred Sommers
A volume integrating various parts of Fred Sommer's theory on logic and the philosophy of language and also extending it in a variety of ways, such as semantics and modal logic.
Carrollian Notes
For more than a century now Lewis Carroll has been read and celebrated as the author of Alice in Wonderland, Through the Looking Glass, and The Hunting of the Snark. Many have learned that he was actually Charles Dodgson. And some of those have known that he spent his professional career as a lecturer, researcher, and author of work on mathematics. Yet relatively few have been aware that he was an important contributor to what was called in the Nineteenth Century 'Symbolic Logic'. Carroll carried out extensive critical correspondence with most of the leading logicians of his day. Late in his life he produced two books and two important essays on the subject. While his fictional work has been...
