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Husserlian and Fichtean Leanings: Weyl on Logicism, Intuitionism, and Formalism
Philosophia Scientiæ, 2009 Around 1918 Hermann Weyl resisted the logicists’ attempt to reduce mathematics to logic and set theory. His philosophical points of reference were Husserl and Fichte.
Norman Sieroka
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German Idealism and the Origins of Pure Mathematics: Riemann, Dedekind, Cantor [PDF]
Journal of Philosophical Investigations, 2021 When it comes to the relation of modern mathematics and philosophy, most people tend to think of the three major schools of thought—i.e. logicism, formalism, and intuitionism—that emerged as profound researches on the foundations and nature of ...
Ehsan Karimi Torshizi
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Kantian Motives in Work of Ludwig Wittgenstein
RUDN Journal of Philosophy, 2023 It is proved that the basic framework of the premises and reasoning of Wittgenstein's “Tractatus Logico-philosophicus” corresponds quite well to the transcendental method (as formulated by H. Cohen).
Zinaida A. Sokuler
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Understanding and ad hoc Explanation: A Case of Russell’s Reducibility Axiom [PDF]
Омский научный вестник: Серия "Общество. История. Современность", 2022 The article examines the common interpretation of the axiom of reducibility in Principia Mathematica according to which the axiom cannot be considered as logical, which casts doubt on the success of the program of logicism.
V. V. Tselishchev, A. V. Khlebalin
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Problemos, 2020 The article raises the question what is the content of Frege’s infamous notion of Bedeutung? 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 ...
Jonas Dagys
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Foundations of Mathematics and Mathematical Practice. The Case of Polish Mathematical School
Studia Historiae Scientiarum, 2022 The foundations of mathematics cover mathematical as well as philosophical problems. At the turn of the 20th century logicism, formalism and intuitionism, main foundational schools were developed.
Jan Woleński
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Sistemas de cálculo como formas de Logicismo
Crítica, 2019 The logicism may be regarded like a fossil stone that has not utility nowadays. In this sense, logicism took care of the research about the foundations of mathematics but apparently its task arrived at its end many years ago because of sorne results ...
Ángel Nepomuceno Fernández
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RUDN Journal of Philosophy, 2020 The article reveals the value and contribution of A.I. Vvedensky in the formation of Russian neo-Kantianism on the example of a systematic and integrated review of his research. The author reveals the significance of A.I.
P. A. Vladimirov
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Philosophia Scientiæ, 2014 PLV (Plural Basic Law V) is a consistent second-order system which is aimed to derive second-order Peano arithmetic. It employs the notion of plural quantification and a first-order formulation of Frege's infamous Basic Law V.
Francesca Boccuni
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El logicismo russelliano: su significado filosófico
Crítica, 2018 After a brief presentation of Russell' s logicism, I attempt a global explanation of its philosophical significance. I reject the existence of two different kinds of logicism (Putnam) with the argument that Russell was trying to justify the existing ...
Francisco Rodríguez Consuegra
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