Logic as Calculus and Logic as Language: Too Suggestive to be Truthful?

The work

AuthorsJan von Plato
Editors
Typearticle
Year2021
Also known asplato2021logic
Citekeyvonplato2021logic

Where it appeared

Published inPhilosophia Scientiae
PublisherÉditions Kimé
Volume25
Issue1
Pages35--47

Abstract

The paper focuses on the inferential role of quantifiers in Frege, Peano and Russell. Two aspects of the early years of mathematical logic are discussed: the gradual perfection of the principles of reasoning with quantifiers, and the presumed conceptual impossibility of posing metatheoretical questions, as embodied in Jean van Heijenoort’s well-known dictum about “logic as calculus and logic as language.”

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Added2026-08-05 00:00 UTC
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Cite it as

@article{vonplato2021logic,
  title        = {Logic as Calculus and Logic as Language: Too Suggestive to be Truthful?},
  author       = {Jan von Plato},
  year         = {2021},
  journal      = {Philosophia Scientiae},
  publisher    = {Éditions Kimé},
  volume       = {25},
  number       = {1},
  pages        = {35--47},
  doi          = {10.4000/philosophiascientiae.2816},
}

This record lives at https://refs.drheap.org/vonplato2021logic/ and will keep doing so. It used to be called plato2021logic, and those addresses still resolve to this one.