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The Archaeological Excavation Report of Rigny: An Example of an Interoperable Logicist Publication
Published 2019-02-01“…The logicist program, which was initiated in the 1970s by J.C. …”
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Logicism Revisited
Published 2001-12-01“…First, I defend the logicist approach from recent criticisms; in particular from the charge that a crucial principle in the logicist reconstruction of arithmetic, Hume's Principle, is not analytic. …”
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Frege’s Bedeutung
Published 2020-04-01“…It is claimed that the so–called standard interpretation of this notion – Bedeutung as referential relation between a name and an object – was developed and established evaluating Frege’s ideas in philosophy of language in isolation from his logicist ideas. However, precisely his logicist concerns have motivated Frege’s interest in semantic issues. …”
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Frege on the Foundation of Geometry in Intuition
Published 2015-08-01“…I investigate the role of geometric intuition in Frege’s early mathemat- ical works and the significance of his view of the role of intuition in geometry to properly understanding the aims of his logicist project. I critically evaluate the interpretations of Mark Wilson, Jamie Tappen- den, and Michael Dummett. …”
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Neo-Logicism and Gödel’s incompleteness theorems
Published 2023“…In this thesis, I articulate and address the challenge in detail. The Neo-Logicist project is to demonstrate the analyticity of arithmetic by deriving all its truths from logical principles and suitable definitions. …”
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The Primacy of the Universal Quantifier in Frege's Concept-Script
Published 2022-11-01“…The third, philosophical explanation locates the reason in Frege's logicist goal of analyzing arithmetical concepts---especially the concepts of 0 and 1---in purely logical terms. …”
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La no-class theory de Stanisław Leśniewski
Published 2005-11-01“…In order to illustrate the importance of this peculiarity, I will give a logicist definition of cardinality which is radically conform with the requierments of a no-class theory.…”
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Jean-Claude Gardin (1925-2013), un archéologue libre !
Published 2016-07-01“…His contributions to the formalization of data (descriptive codes) and the formalization of the reasoning (logicist analysis) were a pioneering work in the constitution of the theoretical and cognitive base of archaeology. …”
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Peano’s Reception in the USA. Wilson’s Review of Russell’s Principles
Published 2021-02-01“…Wilson expands Russell’s well-known acknowledgement of Peano’s influence on his own development, seeing in Peano’s logic more than a new “mathematical tool”, describing Peano as a kind of proto-logicist, and defending him from Poincaré’s criticisms. …”
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Neo-Fregeanism and the Burali-Forti paradox
Published 2018“…As the focus is on a form of predicative logic which reflects a philosophical diagnosis of the source of the paradox, the chapter considers how far Hale and Wright’s neo-logicist programme in cardinal arithmetic can be carried out in that logic.…”
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Conflict among school of thought in mathematics: exploring potentialities to improve the teaching of mathematics and physics
Published 2003-01-01“…We consider the conceptions respectively adopted by the four following schools of thought: the logicist school, the intuicionist school, the formalist school and the school based on the set theory foundations. …”
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Russell And Frege On The Logic of Functions
Published 2009-10-01“…Consequenly, the theory of descriptions in “On Denoting” can be seen as a crucial part of Russell’s larger logicist reduction of mathematics,aswellasanexcursionintothetheoryof reference. …”
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Marx, le merci e l’opera d’arte=Marx, commodities and the work of art
Published 2015-12-01“…In this essay I will discuss this question through a Marxist “logicist” approach, attempting to point out how the work of art is related to the prodrome of the Marx’ theory of Capital, i.e. the value theory and the sphere of simple circulation. …”
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Potential Infinity, Abstraction Principles and Arithmetic (Leśniewski Style)
Published 2016-06-01“…This paper starts with an explanation of how the logicist research program can be approached within the framework of Leśniewski’s systems. …”
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Carnap and Lewis on the External World
Published 2014-08-01“…This comparison is made in terms of the opposition to Kantian epistemology that both books establish; the Aufbau is regarded as the peak of the logicist tradition and Mind and the World-Order is taken in continuity with pragmatism. …”
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Iconic virtues of diagrams
Published 2019-06-01“…Bernard Bolzano, followed by the logicist movement (from Gottlob Frege to Rudolf Carnap), answered that the generality and necessity of mathematical propositions and proofs can only be grounded on conceptual analysis.Even though, like Frege, Charles Sanders Peirce is one of the fathers of formal logic, he provides some semiotic reasons to think that Kant was right: diagrams do convey general meanings and provide some knowledge which is necessary and not trivial. …”
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Automated argument adjudication to solve ethical problems in multi-agent environments
Published 2021-07-01“…We consider an environment infused with logicist artificial agents a1,a2,…,an{a}_{1},{a}_{2},\ldots ,{a}_{n} that sense and report their findings to “adjudicator” agents who must solve ethical problems. …”
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Quantification and finitism
Published 1991“…In chapter in, I give an exposition of the logicist definitions of the natural numbers by Dedekind and Frege, and of the charge of impredicativity levelled against them by Poincaré, in order to show, in chapter IV, that Wittgenstein's definition of the natural number in the <em>Tractatus Logico-Philosophicus</em> was constructivist. …”
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Issues of Logicism and Objectivity
Published 2017-09-01“…Much of the difference between our approaches concerns what he deems to be a logicistic approach (referred to here as logicism) on my part.…”
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Husserlian and Fichtean Leanings: Weyl on Logicism, Intuitionism, and Formalism
Published 2009-10-01“…Around 1918 Hermann Weyl resisted the logicists’ attempt to reduce mathematics to logic and set theory. …”
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