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mathematics --- statistics --- applied mathematics --- algebra --- Logic, Symbolic and mathematical --- Mathematics --- Logic, Symbolic and mathematical. --- Mathematics. --- Math --- Science --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism

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Logic, Symbolic and mathematical --- Logic --- Logic. --- Logic, Symbolic and mathematical. --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Philosophy --- Psychology --- Science --- Reasoning --- Thought and thinking --- Methodology --- Religious studies --- Mathematics --- neutrosophy --- plithogeny --- plithogenic set --- neutrosophic logic --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism

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Este texto se ha escrito con la intención de brindarles a los estudiantes de primer semestre de cualquier programa de pregrado, una guía para el desarrollo de los cursos de matemáticas básicas o fundamentales. Si bien la disponibilidad de material en esta asignatura ha ido aumentando en los últimos años, se ha considerado pertinente por parte del autor hacer una recopilación de los temas básicos que un estudiante de pregrado debe conocer en el área de matemáticas y que lo preparen para el desarrollo de cursos posteriores, no solo en la misma línea de esta asignatura, sino también en aquellos cursos donde esta es una herramienta fundamental para su desarrollo, tales como economía, contabilidad, matemática financiera y cursos de ingeniería. La intención principal ha sido mostrar estos elementos, explicados de la manera más sencilla posible de modo que los estudiantes puedan seguirle el hilo al desarrollo de las temáticas, puedan solucionar los ejercicios propuestos y abordar con seguridad el estudio de textos más complejos en su área o disciplina de estudio.

Álgebra. --- Mathematics. --- Mathematics --- Logic, Symbolic and mathematical. --- Algebra. --- Matemática --- Lógica matemática. --- Software. --- Mathematical analysis --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Math --- Science --- Basic sciences --- Interactive tools --- TIC

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This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, Dummett's justification of logical laws, Kreisel's theory of constructions, paradoxical reasoning, and the defence of model theory. The field of proof-theoretic semantics has existed for almost 50 years, but the term itself was proposed by Schroeder-Heister in the 1980s. Proof-theoretic semantics explains the meaning of linguistic expressions in general and of logical constants in particular in terms of the notion of proof. This volume emerges from presentations at the Second International Conference on Proof-Theoretic Semantics in Tübingen in 2013, where contributing authors were asked to provide a self-contained description and analysis of a significant research question in this area. The contributions are representative of the field and should be of interest to logicians, philosophers, and mathematicians alike.

Logic --- Philosophy --- Philosophy & Religion --- Philosophy. --- Logic. --- Mathematical logic. --- Mathematical Logic and Foundations. --- Mathematical Logic and Formal Languages. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Psychology --- Science --- Reasoning --- Thought and thinking --- Mental philosophy --- Humanities --- Methodology --- Logic, Symbolic and mathematical. --- Computer science. --- Informatics --- Proof theory --- Semantics - Mathematical models --- Logic, symbolic and mathematical --- Semantics

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logical calculi --- logical calculus --- mathematical logic and foundations --- computer science --- general algebraic systems --- ordered algebraic structures --- Logic, Symbolic and mathematical --- Logique --- Logic, Symbolic and mathematical. --- Societies, etc. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Logic --- Logique symbolique et mathématique --- Associations. --- Logic. --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Philosophy --- Psychology --- Science --- Reasoning --- Thought and thinking --- Methodology