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The logic of implication

Journal of Value Inquiry 24 (4):253-268 (1990)

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  1. Conditionals, Inference, and Possibility in Ancient Mesopotamian Science.Francesca Rochberg - 2009 - Science in Context 22 (1):5-25.
    ArgumentThis paper argues that ancient Babylonian signs (omens) reflect a mode of inferential reasoning as a function of their syntactic and logical structure as conditionals. Taking into account the institutional context that produced a systematic written body of omens, the paper is principally interested in the cognitive disposition of such texts. Investigating what constitutes system in these works, formal aspects of the material are examined in terms of the nature of conditionals and the logic of conditional statements. It is argued (...)
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  • Conditionals and Truth Functionality.Rani Lill Anjum - manuscript
    The material interpretation of conditionals is commonly recognized as involving some paradoxical results. I here argue that the truth functional approach to natural language is the reason for the inadequacy of this material interpretation, since the truth or falsity of some pair of statements ‘p’ and ‘q’ cannot per se be decisive for the truth or falsity of a conditional relation ‘if p then q’. This inadequacy also affects the ability of the overall formal system to establish whether or not (...)
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  • Classes and inference.Noel Balzer - 1991 - Journal of Value Inquiry 25 (4):371-380.
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  • The paradoxes.Noel Balzer - 1992 - Journal of Value Inquiry 26 (2):189-197.
    The paradoxes act as restraints on undisciplined or erroneous reasoning and so perform a valuable role. The fact that they have resisted solution for so long suggests that the current systems of logic are defective. The paradoxes of set theory, in my opinion, completely condemn all the current forms of set theory and their associated definitions of the natural numbers. Nothing short of a complete review of the whole area seems capable of remedying the situation.
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  • The human being as a logical thinker.Noel Balzer - 1992 - Journal of Value Inquiry 26 (4):547-556.
    The aim of this book is to explain human rationality. The fundamental principles of human thought are stated in terms of Balzer's Principles, and their operations in everyday life are illustrated. The natural numbers are defined and explained in a fresh fashion. Paradoxes, including those of class theory and material implication, which have signaled that all is not well in our logical systems, are laid to rest here. The explanation of human rationality has more than logical interest, for it touches (...)
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