Abstract
The term ‘logical form’ is generally used to denote a property of sentences. The property denoted is called ‘logical’ because it is regarded as important from the logical point of view, and it is called ‘form’ because it is taken to be distinct from the specific semantic features that constitute their matter. As a first approximation, we can say that one has a notion of logical form if one thinks that there is such a property, independently of whether one deliberately employs some expression that refers to that property. So it is reasonable to presume that some understanding of logical form existed long before the term ‘logical form’ was introduced in the philosophical lexicon. As this chapter will explain, the idea of logical form is as old as logic itself. Its origin lies in the recognition of patterns of inference that can be identified by schematizing some of the expressions that occur in their instances.
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- 1.
Aristotle, Topics 100a25, in Aristotle (1958).
- 2.
Plato (1991), 436b–436d.
- 3.
Aristotle (1958), 113b22.
- 4.
Aristotle (1949), 41b36. This is not exactly the way Aristotle phrased a syllogism, but the differences of formulation will be ignored here and in what follows.
- 5.
In reality, the moods traditionally classified are four. Aristotle’s theory did include a fourth figure, even though, due to differences of formulation, he did not recognize it as a separate figure.
- 6.
- 7.
- 8.
According to Buridan (1976), 1.7.2, categorematic expressions provide the matter (materia) of sentences, while syncategorematic expressions indicate their form (forma).
- 9.
Abelard (1956), pp. 161 and 123.
- 10.
Abelard (1956), pp. 136–138, 162.
- 11.
Ockham (1974), p. 7.
- 12.
Ockham (1974), pp. 44–47.
- 13.
Spade and Panaccio (2011) provide more detailed accounts of Ockham’s position.
- 14.
- 15.
- 16.
Leibniz (1875–1890), p. 200.
- 17.
This is not to say that Leibniz was the first or the only author of his time who postulated such a close connection between logic and mathematics. As Mugnai (2010) explains, different authors, before or independently of Leibniz, had made attempts to express logic in mathematical form or to use logic to give some firm ground to mathematical proofs.
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Iacona, A. (2018). The Early History of Logical Form. In: Logical Form. Synthese Library, vol 393. Springer, Cham. https://doi.org/10.1007/978-3-319-74154-3_1
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