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

By Mark van Atten

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

The publication is organised round Gödel's use of Leibniz, Husserl and Brouwer. faraway from contemplating previous philosophers beside the point to real systematic matters, Gödel embraced using ancient authors to border his personal philosophical point of view. The philosophies of Leibniz and Husserl outline his undertaking, whereas Brouwer's intuitionism is its central foil: the shut affinities among phenomenology and intuitionism set the bar for Gödel's try and move a long way past intuitionism.

The 4 crucial 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 means of an issue from analogy with the monadology, the mirrored image precept in set concept. It additionally offers additional help for Gödel's concept that the monadology has to be reconstructed phenomenologically, via displaying that the unsupplemented monadology isn't really capable of came upon arithmetic at once. the second one reviews Gödel's studying of Husserl, its relation to Leibniz' monadology, and its impact on his released writings. The 3rd discusses how on a variety of events Brouwer's intuitionism really encouraged Gödel's paintings, specifically the Dialectica Interpretation. The fourth addresses the query even if classical arithmetic admits of the phenomenological beginning that Gödel envisaged, and concludes that it does not.

The closing essays offer extra context. The essays gathered the following have been written and released over the past decade. Notes were additional to list additional options, adjustments of brain, connections among the essays, and updates of references.

Show description

Read or Download Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer PDF

Best phenomenology books

The Spirit of Terrorism, New Revised Edition

Until eventually September eleven we had had no symbolic occasion on an international scale that marked a setback for globalization itself. Baudrillard sees the facility of the terrorists as mendacity within the symbolism of slaughter – no longer only the truth of demise, yet in a sacrifice that demanding situations the entire procedure. the place formerly the previous progressive sought to behavior a fight among genuine forces within the context of ideology and politics, the recent terrorist mounts a robust symbolic problem which, while mixed with high-tech assets, constitutes an remarkable attack on an over-sophisticated and weak West.

Phenomenology and Treatment of Psychiatric Emergencies

Psychiatric therapy methods there are possibilities for trial and mistake, exploration and reconsideration, revision of remedy strategy, and correc­ tion of blunders. Revisions and corrections are according to observations of professional­ gress and on reaction from sufferers concerning the influence of remedy efforts.

Paul Ricoeur: The Hermeneutics of Action

Paul Ricoeur's paintings is of seminal value to the improvement of hermeneutics, phenomenology and beliefs critique within the human sciences. This significant quantity assembles top students to deal with and clarify the importance of this amazing physique of labor. beginning with 3 key essays from Ricoeur himself, the booklet bargains a desirable travel of his paintings ranging throughout subject matters similar to the hermeneutics of motion, narrative strength, the opposite and deconstruction whereas discussing his paintings within the context of such modern figures as together with Heidegger, L[ac]evinas, Arendt and Gadamer.

Husserlian Phenomenology: A Unifying Interpretation

This booklet unifies a wide a part of the significant physique of Husserlian phenomenology utilizing a comparatively uncomplicated set of dynamical legislation. The underlying inspiration of the ebook is convinced middle concept of “world-constitution” in Husserl could be formalized and provided in lower than a hundred pages, by using exact snap shots and quantitative textual research.

Additional resources for Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer

Sample text

1986). A précis of a Husserlian philosophical theology. In Hart and Laycock (1986, pp. 89–168). , & Laycock, S. ). (1986). Essays in phenomenological theology. Albany: SUNY Press. Hartimo, M. (2012). Husserl’s pluralistic phenomenology of mathematics. Philosophia Mathematica, 20(1), 86–110. Hauser, K. (2006). Gödel’s program revisited: The turn to phenomenology. Pt. 1. Bulletin of Symbolic Logic, 12(4), 529–590. Hopkins, B. (2010). The philosophy of Husserl. Durham: Acumen. Howard, W. Stories.

Cambridge, MA: MIT. Wang, H. (1996). A logical journey: From Gödel to philosophy. Cambridge, MA: MIT. Yourgrau, P. (1989). Review essay: Reflections on Kurt Gödel. Philosophy and Phenomenological Research, 50(2), 391–408. Yourgrau, P. (1999). Gödel meets Einstein. Chicago: Open Court. Yourgrau, P. (2005). A world without time: The forgotten legacy of Gödel and Einstein. New York: Basic Books. Part I Gödel and Leibniz Chapter 2 A Note on Leibniz’s Argument Against Infinite Wholes Mark van Atten Abstract Leibniz had a well-known argument against the existence of infinite wholes that is based on the part-whole axiom: the whole is greater than the part.

7. 8. 9. The infinite multitude of the numbers forms a whole. (Assumption) Every square is a number, but not vice versa. (Premise) The multitude of the squares is equal to a part of the whole of the numbers. (1, 2) There exists a bijection between the multitude of the numbers and the multitude of the squares. (Premise) The multitude of the squares is equal to the whole of the numbers. (1, 4) A part of the whole of the numbers is equal to the whole of the numbers. (3, 5) The whole is greater than its parts.

Download PDF sample

Download Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer by Mark van Atten PDF
Rated 4.30 of 5 – based on 7 votes