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On Russell's vulnerability to Russell's paradox
History and Philosophy of Logic, 2001Influenced by G. E. Moore, Russell broke with Idealism towards the end of 1898; but in later years he characterized his meeting Peano in August 1900 as ‘the most important event’ in ‘the most important year in my intellectual life’. While Russell discovered his paradox during his post-Peano period, the question arises whether he was already committed ...
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Mathematical Structures in Computer Science, 2001
Bertrand Russell's \textit{The Principles of Mathematics} [Cambridge: University Press (1903; JFM 34.0062.14), London: Routledge (1992; Zbl 0873.01049)] contains possible definitions of conjunction, disjunction, negation and existential quantifier in terms of implication and universal quantifier, exploiting impredicative universal quantification over ...
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Bertrand Russell's \textit{The Principles of Mathematics} [Cambridge: University Press (1903; JFM 34.0062.14), London: Routledge (1992; Zbl 0873.01049)] contains possible definitions of conjunction, disjunction, negation and existential quantifier in terms of implication and universal quantifier, exploiting impredicative universal quantification over ...
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Relatives of the Russell Paradox
Mathematical Logic Quarterly, 1999AbstractA formula ϕ(x) in the one non‐logical symbol ϵ with one free variable x is Russell if the sentence Vχ(χ ϵ τ ⟷ Φ (χ)) is logically valid. This note describes a pattern common to the classical examples of Russell formulas, adds a couple of new ones, and constructs many formulas that are near‐Russell.
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Russell’s Repsychologising of the Proposition
Synthese, 2006Bertrand Russell's 1903 masterpiece The Principles of Mathematics places great emphasis on the need to separate propositions from psychological items such as thoughts. In 1919 (and until the end of his career) Russell explicitly retracts this view, however, and defines propositions as "psychological occurrences".
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Philosophy of the Social Sciences, 1996
Bertrand Russell always claimed that he took part in politics not as a philosopher, but as an outraged citizen and a suffering member of the human race. This essay takes Russell at his own word and explores his untheoretical radicalism. The essay thus treats him as a latter-day Thomas Paine and engages with his views on power, property, and warfare ...
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Bertrand Russell always claimed that he took part in politics not as a philosopher, but as an outraged citizen and a suffering member of the human race. This essay takes Russell at his own word and explores his untheoretical radicalism. The essay thus treats him as a latter-day Thomas Paine and engages with his views on power, property, and warfare ...
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