-Software Engineering
Many different aspects of software engineering, from database management, through programming language design to artificial intelligence have benefitted from the discoveries of modern logic.
-Digital Hardware
Digital hardware is called "logic", its built up from electronic devices selected to behave like boolean operations, and it is the most pervasive and simple application of logic.
-Mathematics
Mathematics, always a deductive science, was the target application for the modern revolution in logic. Its has been transformed by modern logic, and can expect more revolution to come.
-Philisophy
Many philosophers have sought to emulate the deductive rigour of mathematics, but none have succeeded. Though Russel and the logical positivists hoped modern logic would make this possible, success remains illusory.
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