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A mathematical introduction to logic

New York,: Academic Press (1972)

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  1. Introduction to Mathematical Logic, Edition 2021.Vilnis Detlovs & Karlis Podnieks - manuscript
    Textbook for students in mathematical logic. Part 1. Total formalization is possible! Formal theories. First order languages. Axioms of constructive and classical logic. Proving formulas in propositional and predicate logic. Glivenko's theorem and constructive embedding. Axiom independence. Interpretations, models and completeness theorems. Normal forms. Tableaux method. Resolution method. Herbrand's theorem.
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  • Sulla relatività logica.Achille C. Varzi - 2004 - In Massimiliano Carrara & Pierdaniele Giaretta (eds.), Filosofia e logica. Rubbettino Editore. pp. 135–173.
    Italian translation of "On Logical Relativity" (2002), by Luca Morena.
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  • How models represent.James Nguyen - 2016 - Dissertation,
    Scientific models are important, if not the sole, units of science. This thesis addresses the following question: in virtue of what do scientific models represent their target systems? In Part i I motivate the question, and lay out some important desiderata that any successful answer must meet. This provides a novel conceptual framework in which to think about the question of scientific representation. I then argue against Callender and Cohen’s attempt to diffuse the question. In Part ii I investigate the (...)
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  • Filosofia tehnologiei blockchain - Ontologii.Nicolae Sfetcu - manuscript
    Despre necesitatea şi utilitatea dezvoltării unei filosofii specifice tehnologiei blockchain, accentuând pe aspectele ontologice. După o Introducere în care evidenţiez principalele direcţii filosofice pentru această tehnologie emergentă, în Tehnologia blockchain explicitez modul de funcţionare al blockchain, punând în discuţie direcţiile ontologice de dezvoltare în Proiectarea şi Modelarea acestei tehnologii. Următoarea secţiune este dedicată principalei aplicaţii a tehnologiei blockchain, Bitcoin, cu implicaţiile sociale ale acestei criptovalute. Urmează o secţiune de Filosofie în care identific tehnologia blockchain cu conceptul de heterotopie dezvoltat de (...)
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  • Truth via Satisfaction?Nicholas J. J. Smith - 2017 - In Pavel Arazim & Tomas Lavicka (eds.), The Logica Yearbook 2016. London: College Publications. pp. 273-287.
    One of Tarski’s stated aims was to give an explication of the classical conception of truth—truth as ‘saying it how it is’. Many subsequent commentators have felt that he achieved this aim. Tarski’s core idea of defining truth via satisfaction has now found its way into standard logic textbooks. This paper looks at such textbook definitions of truth in a model for standard first-order languages and argues that they fail from the point of view of explication of the classical notion (...)
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  • Comparing classical and relativistic kinematics in first-order logic.Koen Lefever & Gergely Székely - unknown
    The aim of this paper is to present a new logic-based understanding of the connection between classical kinematics and relativistic kinematics. We show that the axioms of special relativity can be interpreted in the language of classical kinematics. This means that there is a logical translation function from the language of special relativity to the language of classical kinematics which translates the axioms of special relativity into consequences of classical kinematics. We will also show that if we distinguish a class (...)
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