Electrical analysis of logical complexity: an exploratory eeg study of logically valid/invalid deducive inference

Abstract Introduction Logically valid deductive arguments are clear examples of abstract recursive computational procedures on propositions or on probabilities. However, it is not known if the cortical time-consuming inferential processes in which logical arguments are eventually realized in the bra...

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Main Authors: Francisco Salto, Carmen Requena, Paula Alvarez-Merino, Víctor Rodríguez, Jesús Poza, Roberto Hornero
Format: Article
Language:English
Published: SpringerOpen 2023-06-01
Series:Brain Informatics
Subjects:
Online Access:https://doi.org/10.1186/s40708-023-00194-8
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author Francisco Salto
Carmen Requena
Paula Alvarez-Merino
Víctor Rodríguez
Jesús Poza
Roberto Hornero
author_facet Francisco Salto
Carmen Requena
Paula Alvarez-Merino
Víctor Rodríguez
Jesús Poza
Roberto Hornero
author_sort Francisco Salto
collection DOAJ
description Abstract Introduction Logically valid deductive arguments are clear examples of abstract recursive computational procedures on propositions or on probabilities. However, it is not known if the cortical time-consuming inferential processes in which logical arguments are eventually realized in the brain are in fact physically different from other kinds of inferential processes. Methods In order to determine whether an electrical EEG discernible pattern of logical deduction exists or not, a new experimental paradigm is proposed contrasting logically valid and invalid inferences with exactly the same content (same premises and same relational variables) and distinct logical complexity (propositional truth-functional operators). Electroencephalographic signals from 19 subjects (24.2 ± 3.3 years) were acquired in a two-condition paradigm (100 trials for each condition). After the initial general analysis, a trial-by-trial approach in beta-2 band allowed to uncover not only evoked but also phase asynchronous activity between trials. Results showed that (i) deductive inferences with the same content evoked the same response pattern in logically valid and invalid conditions, (ii) mean response time in logically valid inferences is 61.54% higher, (iii) logically valid inferences are subjected to an early (400 ms) and a late reprocessing (600 ms) verified by two distinct beta-2 activations (p-value < 0,01, Wilcoxon signed rank test). Conclusion We found evidence of a subtle but measurable electrical trait of logical validity. Results put forward the hypothesis that some logically valid deductions are recursive or computational cortical events.
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spelling doaj.art-90acfef7914148ab9374b7c9d69dada02023-06-11T11:28:55ZengSpringerOpenBrain Informatics2198-40182198-40262023-06-0110111510.1186/s40708-023-00194-8Electrical analysis of logical complexity: an exploratory eeg study of logically valid/invalid deducive inferenceFrancisco Salto0Carmen Requena1Paula Alvarez-Merino2Víctor Rodríguez3Jesús Poza4Roberto Hornero5Grupo Neurociencia, Envejecimiento y Lógica Aplicada, Departamento de Psicología, Universidad de LeónGrupo Neurociencia, Envejecimiento y Lógica Aplicada, Departamento de Psicología, Universidad de LeónGrupo Neurociencia, Envejecimiento y Lógica Aplicada, Departamento de Psicología, Universidad de LeónCentro de Investigación Biomédica en Red, Universidad de Valladolid, Campus M. DelibesCentro de Investigación Biomédica en Red, Universidad de Valladolid, Campus M. DelibesCentro de Investigación Biomédica en Red, Universidad de Valladolid, Campus M. DelibesAbstract Introduction Logically valid deductive arguments are clear examples of abstract recursive computational procedures on propositions or on probabilities. However, it is not known if the cortical time-consuming inferential processes in which logical arguments are eventually realized in the brain are in fact physically different from other kinds of inferential processes. Methods In order to determine whether an electrical EEG discernible pattern of logical deduction exists or not, a new experimental paradigm is proposed contrasting logically valid and invalid inferences with exactly the same content (same premises and same relational variables) and distinct logical complexity (propositional truth-functional operators). Electroencephalographic signals from 19 subjects (24.2 ± 3.3 years) were acquired in a two-condition paradigm (100 trials for each condition). After the initial general analysis, a trial-by-trial approach in beta-2 band allowed to uncover not only evoked but also phase asynchronous activity between trials. Results showed that (i) deductive inferences with the same content evoked the same response pattern in logically valid and invalid conditions, (ii) mean response time in logically valid inferences is 61.54% higher, (iii) logically valid inferences are subjected to an early (400 ms) and a late reprocessing (600 ms) verified by two distinct beta-2 activations (p-value < 0,01, Wilcoxon signed rank test). Conclusion We found evidence of a subtle but measurable electrical trait of logical validity. Results put forward the hypothesis that some logically valid deductions are recursive or computational cortical events.https://doi.org/10.1186/s40708-023-00194-8Beta-2 bandEvoked potentialsInduced potentialsDeductive inferenceLogical validityCortical bases of logical reasoning
spellingShingle Francisco Salto
Carmen Requena
Paula Alvarez-Merino
Víctor Rodríguez
Jesús Poza
Roberto Hornero
Electrical analysis of logical complexity: an exploratory eeg study of logically valid/invalid deducive inference
Brain Informatics
Beta-2 band
Evoked potentials
Induced potentials
Deductive inference
Logical validity
Cortical bases of logical reasoning
title Electrical analysis of logical complexity: an exploratory eeg study of logically valid/invalid deducive inference
title_full Electrical analysis of logical complexity: an exploratory eeg study of logically valid/invalid deducive inference
title_fullStr Electrical analysis of logical complexity: an exploratory eeg study of logically valid/invalid deducive inference
title_full_unstemmed Electrical analysis of logical complexity: an exploratory eeg study of logically valid/invalid deducive inference
title_short Electrical analysis of logical complexity: an exploratory eeg study of logically valid/invalid deducive inference
title_sort electrical analysis of logical complexity an exploratory eeg study of logically valid invalid deducive inference
topic Beta-2 band
Evoked potentials
Induced potentials
Deductive inference
Logical validity
Cortical bases of logical reasoning
url https://doi.org/10.1186/s40708-023-00194-8
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