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In this sense, it forms one area of the philosophy of logic. [1] Central to philosophical logic is an understanding of what logic is and what role philosophical logics play in it. Logic can be defined as the study of valid inferences. [4] [6] [9] An inference is the step of reasoning in which it moves from the premises to a conclusion. [10]
Philosophy of logic is the area of philosophy that studies the nature of logic. [1] [2] Like many other disciplines, logic involves various philosophical presuppositions which are addressed by the philosophy of logic. [3]
Logic is the formal science of using reason and is considered a branch of both philosophy and mathematics and to a lesser extent computer science. Logic investigates and classifies the structure of statements and arguments, both through the study of formal systems of inference and the study of arguments in natural language .
Philosophy is the study of general and fundamental problems concerning matters such as existence, knowledge, values, reason, mind, and language. [1] [2] It is distinguished from other ways of addressing fundamental questions (such as mysticism, myth) by being critical and generally systematic and by its reliance on rational argument. [3]
An Introduction to Non-Classical Logic was designed for multiple audiences. According to American professor of philosophy Stewart Shapiro, the book is accessible to readers with a first or second undergraduate course in symbolic logic, though its optional metatheory sections require graduate-level knowledge. [9]
Logic plays a central role in many fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises that leads to a conclusion. An example is the argument from the premises "it's Sunday" and "if it's Sunday then I don't have to work" leading to the conclusion "I don't have ...
Understood in a narrow sense, philosophical logic is the area of logic that studies the application of logical methods to philosophical problems, often in the form of extended logical systems like modal logic, which forms one field of inquiry within the philosophy of logic.
Analytic philosophy is a broad, contemporary movement or tradition within Western philosophy, especially anglophone philosophy, focused on analysis as a philosophical method. [ a ] [ b ] It is characterized by a clarity of prose ; rigor in arguments; and making use of formal logic and mathematics, and, to a lesser degree, the natural sciences .