First‐order logics over fixed domain.

What we call first‐order logic over fixed domain was initiated, in a certain guise, by Peirce around 1885 and championed, albeit in idiosyncratic form, by Zermelo in papers from the 1930s. We characterise such logics model‐ and proof‐theoretically and argue that they constitute exploration of a clea...

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Publicado en:Theoria: A Swedish Journal of Philosophy Vol. 88; no. 3; pp. 584 - 607
Formato: Artículo
Publicado: Wiley-Blackwell Jun2022
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Acceso en línea:Ver este registro en EBSCOhost
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        atl: First‐order logics over fixed domain.
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        First-order logic
        Theology
        Materialism
        Ethical absolutism
        Idealism
      sug:
        subj:
          First-order logic
          Theology
          Materialism
          Ethical absolutism
          Idealism
      keyword:
        first‐order logic
        fixed‐domain logic
        Mautner–Tarski thesis
      ab: What we call first‐order logic over fixed domain was initiated, in a certain guise, by Peirce around 1885 and championed, albeit in idiosyncratic form, by Zermelo in papers from the 1930s. We characterise such logics model‐ and proof‐theoretically and argue that they constitute exploration of a clearly circumscribed conception of domain‐dependent generality. Whereas a logic, or family of such, can be of interest for any of a variety of reasons, we suggest that one of those reasons might be that said logic fosters some clarification regarding just what qualifies as a logical concept, a logical operation, or a logical law.
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