David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Idealistic Studies 32 (2):143-158 (2002)
This paper argues that Hegel has much to say to modern mathematical philosophy, although the Hegelian perspective needs to be substantially developed to incorporate within it the extensive advances in post-Hegelian mathematics and its logic. Key to that perspective is the self-referential character of the fundamental concepts of philosophy. The Hegelian approach provides a framework for answering the philosophical problems, discussed by Kurt Gödel in his paper on Bertrand Russell, which arise out of the existence in mathematics of self-referential, non-constructive concepts (such as class)
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
S. Awodey (1996). Structure in Mathematics and Logic: A Categorical Perspective. Philosophia Mathematica 4 (3):209-237.
Paul Redding (2012). The Relation of Logic to Ontology in Hegel. In Lila Haaparanta & Heikki Koskinen (eds.), Categories of Being: Essays on Metaphysics and Logic. Oxford University Press.
Yunyi Zhang (2007). Philosophy's Predicament and Hegel's Ghost: Reflections on the View That There is “No Philosophy in China”. [REVIEW] Frontiers of Philosophy in China 2 (2):230-246.
Paul Redding (2007). Analytic Philosophy and the Return of Hegelian Thought. Cambridge University Press.
Bertrand Russell (1919/1993). Introduction to Mathematical Philosophy. Dover Publications.
Tony Smith (1999). The Relevance of Systematic Dialectics to Marxian Thought: A Reply to Rosenthal. Historical Materialism 4 (1):215-240.
Simon B. Duffy (2009). The Role of Mathematics in Deleuze's Critical Engagement with Hegel. International Journal of Philosophical Studies 17 (4):563 – 582.
Andrei Rodin (2010). How Mathematical Concepts Get Their Bodies. Topoi 29 (1):53-60.
Marina Bykova (2007). The Philosophy of Subjectivity From Descartes to Hegel. The Proceedings of the Twenty-First World Congress of Philosophy 10:147-153.
Don Morse (2005). William James's Neglected Critique of Hegel. Idealistic Studies 35 (2-3):199-214.
Charles S. Chihara (1990). Constructibility and Mathematical Existence. Oxford University Press.
Charles Sayward (2005). A Wittgensteinian Philosophy of Mathematics. Logic and Logical Philosophy 15 (2):55-69.
Paul Benacerraf & Hilary Putnam (eds.) (1983). Philosophy of Mathematics: Selected Readings. Cambridge University Press.
Added to index2011-01-09
Total downloads11 ( #154,563 of 1,410,123 )
Recent downloads (6 months)6 ( #38,379 of 1,410,123 )
How can I increase my downloads?