On the proof theory of apodictic syllogistic

Jan von Plato, Melissa Antonelli

Tutkimustuotos: Artikkeli kirjassa/raportissa/konferenssijulkaisussaKirjan luku tai artikkeliTieteellinenvertaisarvioitu

Abstrakti

The success of syllogistic has been such that many of the features originally characterizing this logic have changed over decades. The present study aims at offering a faithful, possibly comprehensive, account of Aristotle’s deductive logic, by extending the inherently proof-theoretical approach introduced by von Plato in 2009/16. Concretely, the main novelty consists in treating syllogistic as a natural deduction system of rules and ‘perfecting’ arguments (for imperfect moods) as derivability proofs in tree form. Nothing is added to the original source but, in this way, assertoric and apodictic syllogistic are transparently reconstructed and Aristotle’s perfecting proofs are proved to be always correct. This would also be a first step to make the whole modal fragment fully comprehensible and to rehabilitate syllogistic as a fertile theory in the context of natural language reasoning.
Alkuperäiskielienglanti
OtsikkoAdvances in Modal Logic
ToimittajatAgata Ciabattoni, David Gabelaia, Igor Sedlar
Sivumäärä23
Vuosikerta15
KustantajaCollege publications
Julkaisupäiväelok. 2024
Sivut101-123
ISBN (painettu)978-1-84890-467-5
TilaJulkaistu - elok. 2024
OKM-julkaisutyyppiA3 Kirjan tai muun kokoomateoksen osa

Tieteenalat

  • 611 Filosofia

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