Philosophical Accounts of First-Order Logical Truths

Acta Analytica 34 (3):369-383 (2019)
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Abstract

Starting from certain metalogical results, I argue that first-order logical truths of classical logic are a priori and necessary. Afterwards, I formulate two arguments for the idea that first-order logical truths are also analytic, namely, I first argue that there is a conceptual connection between aprioricity, necessity, and analyticity, such that aprioricity together with necessity entails analyticity; then, I argue that the structure of natural deduction systems for FOL displays the analyticity of its truths. Consequently, each philosophical approach to these truths should account for this evidence, i.e., that first-order logical truths are a priori, necessary, and analytic, and it is my contention that the semantic account is a better candidate.

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Constantin C. Brîncuș
Institute of Philosophy and Psychology, Romanian Academy

Citations of this work

Logical Maximalism in the Empirical Sciences.Constantin C. Brîncuș - 2021 - In Parusniková Zuzana & Merritt David (eds.), Karl Popper's Science and Philosophy. Cham, Switzerland: Springer. pp. 171-184.

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References found in this work

Two Dogmas of Empiricism.W. Quine - 1951 - [Longmans, Green].
Two Dogmas of Empiricism.Willard V. O. Quine - 1951 - Philosophical Review 60 (1):20–43.
Naming and Necessity.Saul Kripke - 1980 - Critica 17 (49):69-71.
Naming and Necessity.S. Kripke - 1972 - Tijdschrift Voor Filosofie 45 (4):665-666.
Introduction to mathematical philosophy.Bertrand Russell - 1919 - New York: Dover Publications.

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