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Proof Theory: Mathematical Object, Mathematical Logic, Mathematical Proof, Data Structure, Rule of Inference, Syntax (logic), Model Theory, Computability Theory, Structural Proof Theory - Softcover

 
9786130330620: Proof Theory: Mathematical Object, Mathematical Logic, Mathematical Proof, Data Structure, Rule of Inference, Syntax (logic), Model Theory, Computability Theory, Structural Proof Theory

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Proof theory is a branch of mathematical logic that represents proofs as formal mathematical objects, facilitating their analysis by mathematical techniques. Proofs are typically presented as inductively-defined data structures such as plain lists, boxed lists, or trees, which are constructed according to the axioms and rules of inference of the logical system. As such, proof theory is syntactic in nature, in contrast to model theory, which is semantic in nature. Together with model theory, axiomatic set theory, and recursion theory, proof theory is one of the so-called four pillars of the foundations of mathematics.

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Reseña del editor

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Proof theory is a branch of mathematical logic that represents proofs as formal mathematical objects, facilitating their analysis by mathematical techniques. Proofs are typically presented as inductively-defined data structures such as plain lists, boxed lists, or trees, which are constructed according to the axioms and rules of inference of the logical system. As such, proof theory is syntactic in nature, in contrast to model theory, which is semantic in nature. Together with model theory, axiomatic set theory, and recursion theory, proof theory is one of the so-called four pillars of the foundations of mathematics.

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