On the non-substantiality of logic: a case study

Abstract One of the goals of the natural sciences– for example biology– is to provide new information about certain phenomena with previously unknown nature. Their contribution to our knowledge is substantial. From this perspective, logic is seemingly not substantial. Sometimes, logic’s insubstantiality is taken for granted while explaining the alleged insubstantiality of other notions. For example, according to truth deflationism, truth is a non-substantial notion in the sense of being a logical property. However, it is not fully clear to what such an insubstantiality amounts. It is also debatable whether logic really is insubstantial. In this paper, we aim to clarify this issue by proposing a formal way of looking at it. In particular, we used the notion of conservativity , which has already been used by truth deflationism, for a similar aim. We show that if insubstantiality is read in terms of conservativity, then classical logic is substantial. We then argue that such a verdict of substantiality can be resisted if precise stances on certain prima facie unrelated issues of philosophy of logic are taken, or an anti-exceptionalist view is adopted.

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Publication Details

Journal
Synthese
Published
2024-12-23
DOI
https://doi.org/10.1007/s11229-024-04846-y
Citations
1
Primary Topic
Logic, Reasoning, and Knowledge
Type
article
Field-Weighted Citation Impact
0.35

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article

On the non-substantiality of logic: a case study

Massimiliano Carrara, Andrea Strollo
1 citations
Synthese
Logic, Reasoning, and Knowledge
0.35
article

On the non-substantiality of logic: a case study

Massimiliano Carrara, Andrea Strollo
article en
1 citations

Abstract

Abstract One of the goals of the natural sciences– for example biology– is to provide new information about certain phenomena with previously unknown nature. Their contribution to our knowledge is substantial. From this perspective, logic is seemingly not substantial. Sometimes, logic’s insubstantiality is taken for granted while explaining the alleged insubstantiality of other notions. For example, according to truth deflationism, truth is a non-substantial notion in the sense of being a logical property. However, it is not fully clear to what such an insubstantiality amounts. It is also debatable whether logic really is insubstantial. In this paper, we aim to clarify this issue by proposing a formal way of looking at it. In particular, we used the notion of conservativity , which has already been used by truth deflationism, for a similar aim. We show that if insubstantiality is read in terms of conservativity, then classical logic is substantial. We then argue that such a verdict of substantiality can be resisted if precise stances on certain prima facie unrelated issues of philosophy of logic are taken, or an anti-exceptionalist view is adopted.

SyntheseVol. 205(1)
University of Padua (IT), University of Trieste (IT)
Università degli Studi di Padova
Openalex Percentile: Top 30%
Logic, Reasoning, and Knowledge
0.35
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