The Concept of Logical Consequence is a critical evaluation of the model-theoretic and proof-theoretic characterizations of logical consequence that proceeds from Alfred Tarski's characterization of the informal concept of logical consequence. This study evaluates and expands upon ideas set forth in Tarski's 1936 article on logical consequence, and appeals to his 1935 article on truth. Classical logic, as well as extensions and deviations are considered. Issues in the philosophy of logic such as the nature of logical constants, the philosophical significance of completeness, and the metaphysical and epistemological implications of logic are discussed in the context of the examination of the concept of logical consequence.
Arguments figure in our everyday practices of giving reasons. For example, we use arguments to advance reasons to explain why we believe or did something, to justify our beliefs or actions, to persuade others to do or to believe something, and to advance reasons to worry or to fear that something is true. This book is about our uses of arguments to advance their premises as reasons for believing their conclusions, i.e., as reasons for believing that their conclusions are true. What, exactly, is involved when you successfully use an argument to advance the premises as reasons for believing the conclusion? Philosopher Matthew W. McKeon suggests there is more involved than one might think.
The Concept of Logical Consequence is a critical evaluation of the model-theoretic and proof-theoretic characterizations of logical consequence that proceeds from Alfred Tarski's characterization of the informal concept of logical consequence. This study evaluates and expands upon ideas set forth in Tarski's 1936 article on logical consequence, and appeals to his 1935 article on truth. Classical logic, as well as extensions and deviations are considered. Issues in the philosophy of logic such as the nature of logical constants, the philosophical significance of completeness, and the metaphysical and epistemological implications of logic are discussed in the context of the examination of the concept of logical consequence.
Arguments figure in our everyday practices of giving reasons. For example, we use arguments to advance reasons to explain why we believe or did something, to justify our beliefs or actions, to persuade others to do or to believe something, and to advance reasons to worry or to fear that something is true. This book is about our uses of arguments to advance their premises as reasons for believing their conclusions, i.e., as reasons for believing that their conclusions are true. What, exactly, is involved when you successfully use an argument to advance the premises as reasons for believing the conclusion? Philosopher Matthew W. McKeon suggests there is more involved than one might think.
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