Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer by Mark van Atten

By Mark van Atten

This quantity tackles Gödel's two-stage undertaking of first utilizing Husserl's transcendental phenomenology to reconstruct and strengthen Leibniz' monadology, after which founding classical arithmetic at the metaphysics hence received. the writer analyses the ancient and systematic facets of that undertaking, after which evaluates it, with an emphasis at the moment stage.

The e-book is organised round Gödel's use of Leibniz, Husserl and Brouwer. faraway from contemplating earlier philosophers inappropriate to genuine systematic matters, Gödel embraced using ancient authors to border his personal philosophical standpoint. The philosophies of Leibniz and Husserl outline his venture, whereas Brouwer's intuitionism is its vital foil: the shut affinities among phenomenology and intuitionism set the bar for Gödel's try to cross a long way past intuitionism.

The 4 relevant essays are `Monads and sets', `On the philosophical improvement of Kurt Gödel', `Gödel and intuitionism', and `Construction and structure in mathematics'. the 1st analyses and criticises Gödel's try to justify, by way of a controversy from analogy with the monadology, the mirrored image precept in set conception. It additionally presents extra help for Gödel's concept that the monadology should be reconstructed phenomenologically, by way of displaying that the unsupplemented monadology isn't really capable of chanced on arithmetic at once. the second one reviews Gödel's studying of Husserl, its relation to Leibniz' monadology, and its impact on his publishe

d writings. The 3rd discusses how on a variety of events Brouwer's intuitionism really encouraged Gödel's paintings, particularly the Dialectica Interpretation. The fourth addresses the query even if classical arithmetic admits of the phenomenological starting place that Gödel envisaged, and concludes that it does not.

The last essays offer extra context.  The essays accrued the following have been written and released during the last decade. Notes were further to list additional techniques, alterations of brain, connections among the essays, and updates of references.

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