The Logical Web

Abstract

Different logic systems are motivated by attempts to fix the counter-intuitive instances of classical argumentative forms, e.g., strengthening of the antecedent, contraposition and conditional negation. These counter-examples are regarded as evidence that classical logic should be rejected in favour of a new logic system in which these argumentative forms are considered invalid. It is argued that these logical revisions are ad hoc, because those controversial argumentative forms are implied by other argumentative forms we want to keep. It is impossible to remove an argumentative form from a logical system without getting entangled in an intricate logical web, since these revisions imply the removal of other parts of a system we want to maintain. Consequently, these revisions are incoherent and unwarranted. At the very least, the usual approach in the analysis of counter-examples of argumentative forms must be seriously reconsidered.

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References found in this work

Inquiry.Robert C. Stalnaker - 1984 - Cambridge University Press.
A philosophical guide to conditionals.Jonathan Bennett - 2003 - New York: Oxford University Press.
On conditionals.Dorothy Edgington - 1995 - Mind 104 (414):235-329.
Philosophical Guide to Conditionals.Jonathan Bennett - 2003 - Oxford, GB: Oxford University Press UK.

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