The foundational problem of logic

Bulletin of Symbolic Logic 19 (2):145-198 (2013)
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Abstract

The construction of a systematic philosophical foundation for logic is a notoriously difficult problem. In Part One I suggest that the problem is in large part methodological, having to do with the common philosophical conception of “providing a foundation”. I offer an alternative to the common methodology which combines a strong foundational requirement with the use of non-traditional, holistic tools to achieve this result. In Part Two I delineate an outline of a foundation for logic, employing the new methodology. The outline is based on an investigation of why logic requires a veridical justification, i.e., a justification which involves the world and not just the mind, and what features or aspect of the world logic is grounded in. Logic, the investigation suggests, is grounded in the formal aspect of reality, and the outline proposes an account of this aspect, the way it both constrains and enables logic, logic's role in our overall system of knowledge, the relation between logic and mathematics, the normativity of logic, the characteristic traits of logic, and error and revision in logic.

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Gila Sher
University of California, San Diego

Citations of this work

Pluralism and Normativity in Truth and Logic.Gila Sher - 2020 - American Philosophical Quarterly 57 (4):337-350.
Logicality and meaning.Gil Sagi - 2018 - Review of Symbolic Logic 11 (1):133-159.
Logical Truth.Mario Gomez-Torrente - 2014 - Stanford Encyclopedia of Philosophy.
Extensionality and logicality.Gil Sagi - 2017 - Synthese (Suppl 5):1-25.

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References found in this work

Tractatus logico-philosophicus.Ludwig Wittgenstein - 1922 - Filosoficky Casopis 52:336-341.
Critique of Pure Reason.Wolfgang Schwarz - 1966 - Philosophy and Phenomenological Research 26 (3):449-451.
Realism, Mathematics, and Modality.Hartry Field - 1988 - Philosophical Topics 16 (1):57-107.

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