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book2002

The Limits of Abstraction

Disciplines:
logic
philosophy of mathematics

Summary

Kit Fine's systematic investigation of neo-Fregean abstractionism, examining which abstraction principles are acceptable and what the limits of the neo-logicist program are.

Core Contribution

Develops criteria for when abstraction principles are acceptable — the problem of Bad Company — and provides a rigorous foundation for the abstractionist program in philosophy of mathematics.

Historical Influences

Kit Fine

Intellectual Lineage

No conceptual lineage found.

Allied Works

The Foundations of Frege's LogicFrege's Conception of Numbers as Objects

Contemporaries & Peers

No recorded contemporaries.

Minds Influenced

No recorded minds influenced.

Intellectual Posterity

No conceptual posterity found.

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