Abstract

SANTELLI, Mauro; TORANZO CALDERON, Joaquín  and  ERENFRYD, Jonathan. ON THE ADOPTION PROBLEM AND META-LOGICAL MONISM. Anal. filos. [online]. 2022, vol.42, n.1, pp.53-78.  Epub Jan 05, 2022. ISSN 1851-9636.  http://dx.doi.org/10.36446/af.2022.407.

According to the Adoption Problem (AP) certain basic logical principles cannot be adopted. Drawing on the AP, Suki Finn presents an argument against logical pluralism: Modus Ponens (MP) and Universal Instantiation (UI) 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.

Keywords : Rule-Following; Philosophy of Logic; Philosophy of Language; Theories of Reasoning.

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