Description
A Logical Foundation for Potentialist Set Theory presents a comprehensive logical framework for understanding sets through a potentialist lens. Rather than adopting the traditional view that sets are completed infinite totalities, this work explores how set theory functions when we treat sets as potentially infinite—capable of growing but never fully completed.
Sharon Berry carefully develops the mathematical and philosophical underpinnings of potentialist approaches, providing formal systems and rigorous proofs that support this alternative foundation for mathematics. The book addresses fundamental questions about infinity, existence, and the nature of mathematical objects, offering insights relevant to both mathematicians and philosophers of mathematics.
By establishing a solid logical foundation for potentialism, Berry demonstrates how classical mathematics can be interpreted and formalized within this framework, challenging traditional assumptions about set theory and infinity.
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