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Foundations without Foundationalism

Stewart Shapiro
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      Stewart Shapiro presents a view of the foundations of mathematics, arguing that second-order logic has a central role to play in laying these foundations. To support this contention, he first gives a detailed development of second-order and higher-order logic. He then demonstrates that second-order notions are prevalent in mathematics as practised, and that higher-order logic is needed to codify many contemporary mathematical concepts. Throughout, he emphasizes philosophical and historical issues that the subject raises.
      Format: CONTRIBUTORS: Stewart Shapiro EAN: 9780198250296 COUNTRY: United Kingdom PAGES: WEIGHT: 441 g HEIGHT: 235 cm
      PUBLISHED BY: Oxford University Press DATE PUBLISHED: 2000-03-23 CITY: GENRE: MATHEMATICS / Logic, PHILOSOPHY / Logic WIDTH: 156 cm SPINE:

      Book Themes:

      Philosophy of mathematics, Mathematical logic, Philosophy: logic

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      Stewart Shapiro is Professor of Philosophy at Ohio State University.
      Stewart Shapiro presents a view of the foundations of mathematics, arguing that second-order logic has a central role to play in laying these foundations. To support this contention, he first gives a detailed development of second-order and higher-order logic. He then demonstrates that second-order notions are prevalent in mathematics as practised, and that higher-order logic is needed to codify many contemporary mathematical concepts. Throughout, he emphasizes philosophical and historical issues that the subject raises.
      Format: CONTRIBUTORS: Stewart Shapiro EAN: 9780198250296 COUNTRY: United Kingdom PAGES: WEIGHT: 441 g HEIGHT: 235 cm
      PUBLISHED BY: Oxford University Press DATE PUBLISHED: 2000-03-23 CITY: GENRE: MATHEMATICS / Logic, PHILOSOPHY / Logic WIDTH: 156 cm SPINE:

      Book Themes:

      Philosophy of mathematics, Mathematical logic, Philosophy: logic

      Customer Reviews

      Be the first to write a review
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      Stewart Shapiro is Professor of Philosophy at Ohio State University.

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