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A metrizable semitopological semilattice with non-closed partial order
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Fuir la complétude ou Le métarécit intermédial des Faux-monnayeurs
Published 2014-12-01“…Finally, intermediality joins interdisciplinarity, and by applying Kurt Gödel’s mathematic and philosophical theorem – the incompleteness theorem –, textual verticality, synonymous with Gide’s metanarrative, reaches its height and further reinforces the themes of the “false” and the “copy” in a counterfeit novel.…”
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Fuir la complétude ou Le métarécit intermédial des Faux-monnayeurs
Published 2014-12-01“…Finally, intermediality joins interdisciplinarity, and by applying Kurt Gödel’s mathematic and philosophical theorem – the incompleteness theorem –, textual verticality, synonymous with Gide’s metanarrative, reaches its height and further reinforces the themes of the “false” and the “copy” in a counterfeit novel.…”
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The Notion of Explanation in Gödel’s Philosophy of Mathematics
Published 2020-05-01“…DOI: http://doi.org/10.26333/stsen.xxx.05 The article deals with the question of in which sense the notion of explanation (which is rather characteristic of empirical sciences) can be applied to Kurt Gödel’s philosophyof mathematics. Gödel, as a mathematical realist, claims that in mathematics we are dealing with facts that have an objective character (in particular, they are independent of our activities). …”
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Remarks on Ludwig Wittgenstein’s Whole aim in his way of doing Philosophy
Published 2018-12-01“…And to illustrate Wittgenstein’s failure, it examines his disputes with mathematicians Kurt Gödel and Alan Turing on the foundations of mathematics.…”
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Sobre la necesidad epistemológica de la investigación cualitativa en salud
Published 2014-05-01“…Los trabajos de Georg Cantor sobre el concepto de infinito y sobre la teoría de conjuntos y las investigaciones lógicas de Kurt Gödel sobre la incompletitud han zarandeado la claridad de la aritmética elemental. …”
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The Right Order of Concepts: Graßmann, Peano, Gödel and the Inheritance of Leibniz's Universal Characteristic
Published 2014-03-01“…Three case studies will be taken into account: Hermann Graßmann, Giuseppe Peano and Kurt Gödel. The main claim will be that the choice of primitive concepts was not only a question of convenience in modern hypothetico-deductive investigations, but sometimes also the result of philosophical investigations onto the foundation of scientific disciplines. …”
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Observações sobre a filosofia da matemática de Ludwig Wittgenstein
Published 2018-06-01“…Neste artigo, tem-se por objetivo explicitar algumas inconsistências e contradições no pensamento matemático de Wittgenstein que ratificam as críticas que esse autor vem recebendo há décadas, mas que não tiveram a mesma atenção dos especialistas que os comentários de Wittgenstein sobre os teoremas da incompletude de Kurt Gödel e suas discussões com Alan Turing sobre os fundamentos da matemática.…”
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Matemática y complejidad
Published 2018-12-01“…Además, se entiende el Teorema de Incompletud de Kurt Gödel, como una de las más significativas razones que puede argumentar la insuficiencia teórica de la lógica clásica a partir de fundamentos matemáticos, ajustándose a la noción de indecidibilidad de Murray Gell-Man, y así, abrir las puertas a las lógicas no clásicas, en particular, a la lógica del tercero incluido como la lógica de la complejidad. …”
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Visualization of the Gödel universe
Published 2013-01-01“…The simplest of these models is the cosmological solution discovered by Kurt Gödel, which describes a homogeneous, rotating universe. …”
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A BRIEF HISTORY OF HUMAN POWERED FLIGHT: FROM PHYSIOLOGY TO PHILOSOPHY
Published 2015-04-01“…In such formal systems, "theorem" is a string of symbols that can be arrived at in a finite number of steps from the axioms, applying the canonical operational rules. However, as Kurt Gödel showed in 1931, it is possible to demonstrate that, within a sufficiently powerful formal system, there exists demonstrably true strings of symbols that are not theorems. …”
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On Martin-Löf’s Constructive Optimism
Published 2020-11-01“…DOI: http://doi.org/10.26333/sts.xxxiv1.10 In his 1951 Gibbs Memorial Lecture, Kurt Gödel put forth his famous disjunction that either the power of the mind outstrips that of any machine or there are absolutely unsolvable problems. …”
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Logic, Game Theory, and Social Choice: What Do They Have in Common?
Published 2022-09-01“…If we apply mathematical reasoning to elementary arithmetic, i.e., the addition and multiplication of natural numbers, it turns out that almost all true arithmetical statements, for instance, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>∀</mo><mi>x</mi><mo>∀</mo><mi>y</mi><mo>[</mo><mi>x</mi><mo>+</mo><mi>y</mi><mo>=</mo><mi>y</mi><mo>+</mo><mi>x</mi><mo>]</mo></mrow></semantics></math></inline-formula>, can be logically deduced from the axioms of Peano. However, in 1931 Kurt Gődel showed that the axioms of Peano do not (fully) characterize the addition and multiplication of the natural numbers, more precisely, that there are certain special self-referential arithmetical sentences that, although true, cannot be deduced from Peano’s axioms. …”
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Kant, Gödel, and the problem of synthetic a priori judgements
Published 2017-10-01“…Of interest are the ideas of the great logician and mathematician Kurt Gödel about the analytical nature of mathematics, put forward in a number of his works on philosophy of mathematics. …”
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The Problem of Personal Security: An Analysis of Basic Concepts and Approaches to Modeling
Published 2022-09-01“…In the case of insufficient evidence to confirm the hypotheses put forward at specific levels of the system hierarchy, we carried out the transition to the super system, as required by the conclusion following from the proofs of Kurt Gödel’s well-known theorems “On incompleteness”. …”
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Um desfile de escola de samba em homenagem a Gödel
Published 2018-12-01“…Neste artigo apresentamos a vida e a obra de Kurt Gödel (1906 – 1978) e o fizemos por meio da descrição e comentários de/sobre um fictício desfile de escola de samba homenageando-o bem como dos bastidores do desfile. …”
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Crisis del escepticismo ético
Published 2012-09-01“…En el campo más teórico, Kurt Gödel deshizo los sueños matemáticos de construir un universo científico que gozara de la precisión matemática. …”
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A Semigroup Is Finite Iff It Is Chain-Finite and Antichain-Finite
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