On the Adoption Problem and Meta-Logical Monism

Análisis Filosófico 42 (1):53-78 (2022)
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Abstract

According to the Adoption Problem certain basic logical principles cannot be adopted. Drawing on the AP, Suki Finn presents an argument against logical pluralism: Modus Ponens and Universal Instantiation both govern a general structure shared by every logical rule. As such, analogues of these two rules must be present in every meta-logic for any logical system L, effectively imposing a restriction to logical pluralism at the meta-level through their presence constituting a “meta-logical monism”. We find a tension in the dual role that the “unadoptable rules” must play in Finn’s “meta-logical monism” rendering it ineffective to restrict logical theories and systems. Consequently, we argue they cannot be both analogues of MP and UI and inferentially productive. We conclude with a series of suggestions regarding where a more satisfying and robust interpretation of the AP could lie.

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References found in this work

Remarks on the foundations of mathematics.Ludwig Wittgenstein - 1956 - Oxford [Eng.]: Blackwell. Edited by G. E. M. Anscombe, Rush Rhees & G. H. von Wright.
The Concept of Mind.Gilbert Ryle - 1949 - Revue Philosophique de la France Et de l'Etranger 141:125-126.
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Knowing How.Jason Stanley & Timothy Willlamson - 2001 - Journal of Philosophy 98 (8):411-444.

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