Review of Charles Parsons: Mathematical thought and its objects
| Abstract | This long-awaited volume is a must-read for anyone with a serious interest in\nphilosophy of mathematics. The book falls into two parts, with the primary focus of\nthe first on ontology and structuralism, and the second on intuition and\nepistemology, though with many links between them. The style throughout involves\nunhurried examination from several points of view of each issue addressed, before\nreaching a guarded conclusion. A wealth of material is set before the reader along\nthe way, but a reviewer wishing to summarize the author’s views crisply will be\nfrustrated. The chapter-by-chapter survey below conveys at best a very incomplete\nand imperfect impression of the work’s virtues, and even of its contents, falling\nshort even of supplying a full menu for the banquet of food for thought that Parsons\nserves up to his readers. | |||||||||
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Charles Parsons (1995). Platonism and Mathematical Intuition in Kurt Gödel's Thought. Bulletin of Symbolic Logic 1 (1):44-74.
David Galloway (1999). Seeing Sequences. Philosophy and Phenomenological Research 59 (1):93-112.
Charles Parsons (1990). The Structuralist View of Mathematical Objects. Synthese 84 (3):303 - 346.
Gila Sher & Richard L. Tieszen (eds.) (2000). Between Logic and Intuition: Essays in Honor of Charles Parsons. Cambridge University Press.
Felix Mühlhölzer (2010). Mathematical Intuition and Natural Numbers: A Critical Discussion. Erkenntnis 73:265–292.
Charles Parsons (2004). Structuralism and Metaphysics. Philosophical Quarterly 54 (214):56--77.
Giuseppe Primiero (2010). Charles Parsons: Mathematical Thought and its Objects. Minds and Machines 20 (2):311-315.
John P. Burgess (2008). Charles Parsons. Mathematical Thought and its Objects. Philosophia Mathematica 16 (3):402-409.
Peter Smith (2009). Critical Notice of C. Parsons, Mathematical Thought and its Objects. [REVIEW] Analysis 69 (3):549-557.
Charles Parsons (2008). Mathematical Thought and its Objects. Cambridge University Press.
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