• All Products
      • Paperback
      • Hardcover
      • eBook
      • Audiobook

    After Gödel: Platonism and Rationalism in Mathematics and Logic

    By: Richard Tieszen

    QTY
    -+
    $31.99
     
     
    ISBN
    9780191619311
    Date Released
    Binding
    eBook
     
     

    Instant Download

    Description
    Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Gödel's writings on the philosophy and foundations of mathematics and logic. Tieszen structures the argument around Gödel's three philosophical heroes - Plato, Leibniz, and Husserl - and his engagement with Kant, and supplements close readings of Gödel's texts on foundations with materials from Gödel's Nachlass and from Hao Wang'sdiscussions with Gödel. As well as providing discussions of Gödel's views on the philosophical significance of his technical results on completeness, incompleteness, undecidability, consistency proofs, speed-up theorems, and independence proofs, Tieszen furnishes a detailed analysis of Gödel's critique of Hilbert and Carnap, and of hissubsequent turn to Husserl's transcendental philosophy in 1959. On this basis, a new type of platonic rationalism that requires rational intuition, called 'constituted platonism', is developed and defended. Tieszen shows how constituted platonism addresses the problem of the objectivity of mathematics and of the knowledge of abstract mathematical objects. Finally, he considers the implications of this position for the claim that human minds ('monads') are machines, and discusses the issues ofpragmatic holism and rationalism.

    You might also like



    Accepted Payments
    QBD Proudly Supports

    Need help? Call us on (07) 3291 7444