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Symbolic Logic: An Introduction

New York, NY, USA: Macmillan (1969)

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  1. Assertion, inference, and consequence.Peter Pagin - 2012 - Synthese 187 (3):869 - 885.
    In this paper the informativeness account of assertion (Pagin in Assertion. Oxford University Press, Oxford, 2011) is extended to account for inference. I characterize the conclusion of an inference as asserted conditionally on the assertion of the premises. This gives a notion of conditional assertion (distinct from the standard notion related to the affirmation of conditionals). Validity and logical validity of an inference is characterized in terms of the application of method that preserves informativeness, and contrasted with consequence and logical (...)
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  • What are sets and what are they for?Alex Oliver & Timothy Smiley - 2006 - Philosophical Perspectives 20 (1):123–155.
  • Singular Terms, Predicates and the Spurious ‘Is’ of Identity.Danny Frederick - 2013 - Dialectica 67 (3):325-343.
    Contemporary orthodoxy affirms that singular terms cannot be predicates and that, therefore, ‘is’ is ambiguous as between predication and identity. Recent attempts to treat names as predicates do not challenge this orthodoxy. The orthodoxy was built into the structure of modern formal logic by Frege. It is defended by arguments which I show to be unsound. I provide a semantical account of atomic sentences which draws upon Mill's account of predication, connotation and denotation. I show that singular terms may be (...)
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  • The Cogito Paradox.Arnold Cusmariu - forthcoming - Symposion. Theoretical and Applied Inquiries in Philosophy and Social Sciences.
    Arnold Cusmariu ABSTRACT: The Cogito formulation in Discourse on Method attributes properties to one conceptual category that belong to another. Correcting the error ends up defeating Descartes’ response to skepticism. His own creation, the Evil Genius, is to blame. Download PDF.
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  • Notes on the art of logic.Nuel Belnap - manuscript