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Intuitionistic Logic is a Connexive Logic
AbstractWe show that intuitionistic logic is deductively equivalent to Connexive Heyting Logic ($$\textrm{CHL}$$ CHL ), hereby introduced as an example of a strongly connexive logic with an intuitive semantics. We use the reverse algebraisation paradigm: $$\textrm{CHL}$$ CHL is ...
davide fazio +2 more
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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
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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Perspectives hétérodoxes de Russell sur la question des fondements
Russell’s logicism consists of a thesis stating that all pure mathematics can be expressed in terms of logical constants and variables. It is usually assumed to be a reduction of pure mathematics to logic.
Anne-Françoise Schmid
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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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Říká logicismus něco, co se říkat nemá?
Does Logicism Say Something That Should Not Be Said? The objective of this paper is to analyze the broader significance of Frege’s logicist project against the background of Wittgenstein’s philosophy from both Tractatus and Philosophical Investigations ...
Vojtěch Kolman
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On Argumentation Logic and Propositional Logic [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kakas, Antonis C. +5 more
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Husserl Between Frege’s Logicism And Hilbert’s Formalism
The traditional view regarding the philosophy of mathematics in the twentieth century is the dogma of three schools: Logicism, Intuitionism and Formalism.
Ulrich Majer
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The ontological implications of neo-Fregeanism
Neo-Fregeanism is a combination of two ideas: logicism, according to which arithmetic can be derived from logic plus definitions, and Platonism, according to which there are mathematical objects (which are abstract).
María de Ponte
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Quantum logic as a dynamic logic [PDF]
The authors argue that quantum mechanics does not require abandoning the principles of classical logic. Their argument is based on combining a formal semantic approach understood as an investigation of ``the logic of yes-no experiments'', following their papers [Int. J. Theor. Phys. 44, No. 12, 2267--2282 (2005; Zbl 1110.81013); Stud. Log. 89, No.
Alexandru Baltag, Sonja Smets
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