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person2000s-present

Øystein Linnebo

Disciplines:
logic
philosophy of mathematics

Summary

Norwegian philosopher who has contributed to plural logic, neo-logicism, and a potentialist interpretation of set theory — sets are not fully formed objects but potential collections.

Core Contribution

Plural logic: sentences with plural terms are not reducible to singular quantification; they have autonomous logical content. Potentialism: the universe of sets is not a completed totality but a potentially infinite process — resolving some set-theoretic paradoxes.

Key Spikes & Highlights

  • Thin objects: mathematical objects exist but are 'thin' — their existence involves no more than what is asserted in the criteria for their identity. This is a middle path between platonism and nominalism.

Notable Works & Achievements

Plural Quantification and Its Logic

Philosophy of Mathematics

Thin Objects

Historical Influences

George Boolos Kit Fine

Intellectual Lineage

Analytic Philosophy of Mathematics

Contemporaries & Peers

Kit Fine Crispin Wright

Minds Influenced

No recorded minds influenced.

Intellectual Posterity

Plural LogicSet-Theoretic Potentialism

Discussing

Øystein Linnebo

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