Establishing Logical Forms
What is assigned to what, how and why
DOI:
https://doi.org/10.12775/LLP.2023.008Keywords
logical form, nature of logic, logical analysis, reflective equilibriumAbstract
The paper presents a demarcation of a “minimalistic” concept of logical form, which nevertheless largely agrees with the way the term “logical form” is commonly used in contemporary logic and philosophy of logic. We see logical forms as formulas of formal languages assigned to (compounds of) sentences of a natural language (perhaps modulo notational variance). We thus reject the views of logical forms as underlying structures of thoughts or of the material reality that surrounds us. The assignment of the forms, we claim, aims at envisaging the logical (especially inferential) properties of the analyzed sentences, arguments, or other texts, as the analyzing formulas wear them, as it were, on their sleeves. Hence we suggest an “expressivist” and a pragmatic understanding of logical forms - they are used to expose (and fix) logical properties of sentences in textual contexts and the way of their employment is determined by the goals of the particular studies.
References
Blau, U., 1978, Die dreiwertige Logik der Sprache, de Gruyter, Berlin. DOI: http://dx.doi.org/10.1515/9783110838794
Bolzano, B., 1837, Wissenschaftslehre, Seidel, Sulzbach; English translation The Theory of Science, University of California Press, Berkeley, 1972.
Boole, G., 1854, An Investigation of the Laws of Thought, on which are Founded the Mathematical Theories of Logic and Probabilities, Walton & Maberley, London. DOI: http://dx.doi.org/10.1017/CBO9780511693090
Brandom, R., 2000, Articulating reasons, Harvard University Press, Cambridge (Mass.) DOI: http://dx.doi.org/10.4159/9780674028739
Brun, G., 2003, Die richtige Formel: Philosophische Probleme der logischen Formalisierung, Ontos, Frankfurt a M. DOI: http://dx.doi.org/10.1515/9783110323528
Brun, G., 2008, “Formalization and the objects of logic”, Erkenntnis 69 (1): 1–30. DOI: http://dx.doi.org/10.1007/s10670-008-9112-3
Brun, G., 2019, “Logical expressivism, logical theory and the critique of inferences”, Synthese 196(11): 4493–4509. DOI: http://dx.doi.org/10.1007/s11229-017-1662-y
Fodor, J. A., 1975, The language of thought, Harvard University Press, Cambridge (Mass.) DOI: http://dx.doi.org/10.1007/s11229-017-1662-y
Fodor, J. A., 2008, LOT 2: The Language of Thought Revisited, Oxford University Press, Oxford. DOI: http://dx.doi.org/10.1093/acprof:oso/9780199548774.001.0001
Frege, G., 1879, Begriffsschrift, Nebert, Halle; English translation “Begriffsschrift”, pages 1–82 in van Heijenoort (ed.), From Frege to Gödel: A Source Book from Mathematical Logic, Harvard University Press, Cambridge (Mass.), 1967.
Iacona, A., 2016, “Two notions of logical form”, The Journal of Philosophy 113 (12): 617–643. DOI: http://dx.doi.org/10.5840/jphil20161131241
Iacona, A., 2018, Logical Form: Between Logic and Natural Language, Springer, Cham. DOI: http://dx.doi.org/10.1007/978-3-319-74154-3
Leech, J., 2015, “Logic and the laws of thought”, Philosophers’ Imprint 15 (12): 1–27. http://hdl.handle.net/2027/spo.3521354.0015.012
Maddy, P., 2014, “A second philosophy of logic”, pages 93–108 in P. Rush (ed.), The Metaphysics of Logic, Cambridge University Press, Cambridge. DOI: http://dx.doi.org/10.1017/CBO9781139626279.007
Peregrin, J., 2010, “The myth of semantic structure”, pages 183–197 of P. Stalmaszczyk (ed.), Philosophy of Language and Linguistics, Vol. I: The Formal Turn, Ontos, Frankfurt. DOI: http://dx.doi.org/10.1515/9783110330472.183
Peregrin, J., 2014, Inferentialism: why rules matter, Palgrave, Basingstoke. DOI: http://dx.doi.org/0.1057/9781137452962
Peregrin, J., 2020, Philosophy of Logical Systems, Routledge, New York. DOI: http://dx.doi.org/10.4324/9780367808631
Peregrin, J., 2021, “Logic and human practices”, pages 162–182 of M. Blicha and I. Sedlár (eds.), The Logica Yearbook 2020, College Publications, London. DOI: http://dx.doi.org/10.4324/9780367808631
Peregrin, J., forthcoming, “Logic as a science of patterns?”, The Journal of Philosophy.
Peregrin, J., and V. Svoboda, 2017, Reflective Equilibrium and the Principles of Logical Analysis: Understanding the Laws of Logic, Routledge, New York. DOI: http://dx.doi.org/10.4324/9781315453934
Peregrin, J., and V. Svoboda, 2021, “Moderate anti-exceptionalism and earthborn logic”, Synthese 199(3-4): 8781–8806. DOI: http://dx.doi.org/10.1007/s11229-021-03182-9
Peregrin, J., and V. Svoboda, 2022, “Logica dominans vs. logica serviens”. Logic and Logical Philosophy 31 (2): 183–207. DOI: http://dx.doi.org/10.12775/LLP.2022.004
Pietroski, P., 2021, “Logical form”, in E. N. Zalta (ed.), The Stanford Encyclopedia of Philosophy (Fall 2021 Edition). https://plato.stanford.edu/entries/logical-form/
Preyer, G., and G. Peter (eds.), 2002, Logical Form and Language, Oxford University Press, Oxford.
Rawls, J., 1955, “Two concepts of rules”, Philosophical Review 64: 3–32. DOI: http://dx.doi.org/10.2307/2182230
Russell, B., 1905, “On denoting”, Mind 14 (56): 479–493.
Russell, B., 1919a, Introduction to Mathematical Philosophy, Allen & Unwin, London. DOI: http://dx.doi.org/10.4324/9781003308881
Russell, B., 1919b, “The philosophy of logical atomism”, The Monist: 345–380. DOI: http://dx.doi.org/10.5840/monist191929120
Sher, G., 2011, “Is logic in the mind or in the world?”, Synthese 181: 353–365. DOI: http://dx.doi.org/10.1007/s11229-010-9796-1
Strawson, P. F., 1950, “On referring”, Mind 59 (235): 320–344. DOI: http://dx.doi.org/10.4324/9781351153607-8
Tarski, A., 1936, “Grundlegung der wissenschaftlichen Semantik”, pages 1–8 of Actes du Congrès International de Philosophie Scientifique, vol. 3.
Tarski, A., 1956, Logic, Semantics, Metamathematics, Clarendon Press, Oxford.
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