David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophia Mathematica 16 (2):264-276 (2008)
Richard Tieszen's new book1 is a collection of fifteen articles and reviews, spanning fifteen years, presenting the author's approach to philosophical questions about logic and mathematics from the point of view of phenomenology, as developed by Edmund Husserl in the later phase2 of his philosophical thinking known as transcendental phenomenology, starting in 1907 with the Logical Investigations and characterized by the introduction of the notions of ‘reduction’. Husserlian transcendental phenomenology as philosophy of mathematics is described as one that ‘cuts across’ different philosophical positions, such as platonism, nominalism, fictionalism, Hilbertian formalism, etc. but, at the same time, as having built in the conceptual tools which allow one not to incur the kinds of problems which are usually related to one's preferred approach. Phenomenology centers around the notion of intentionality3 or aboutness, i.e. the characteristic of acts of cognition of being about something. The ‘something’ a cognitive act is about is called its ‘intentional object’, meaning the object of an intentional act. Any kind of object can be seen as an intentional object irrespective of whether it is concrete, illusory, abstract, etc. Indeed the emphasis is on the intentional act, as it is in the intentional act that the object—which need not be claimed to exist—is present. In order to achieve knowledge of an object the phenomenologist investigates the consciousness of the knowing subject when performing the act directed to that particular object.Characterized in this way, it is not difficult to see that phenomenology has a straightforward bearing on almost everything, philosophy of mathematics included. As Tieszen puts it , ‘[…] our mathematical beliefs are always about something. They are about certain objects, such as numbers, sets, functions or groups […]’. …
|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
Robert Hanna (2009). Book Review: Logic, Mathematics, and the Mind: A Critical Study of Richard Tieszen's Phenomenology, Logic, and the Philosophy of Mathematics. [REVIEW] Notre Dame Journal of Formal Logic 50 (3):339-361.
Gila Sher & Richard L. Tieszen (eds.) (2000). Between Logic and Intuition: Essays in Honor of Charles Parsons. Cambridge University Press.
Richard Tieszen (1998). Gödel's Path From the Incompleteness Theorems (1931) to Phenomenology (1961). Bulletin of Symbolic Logic 4 (2):181-203.
Giuseppina Ronzitti (2008). Review of R. Tieszen, Phenomenology, Logic, and the Philosophy of Mathematics. [REVIEW] Philosophia Mathematica 16 (2):264-276.
Richard Tieszen (2010). Mathematical Realism and Transcendental Phenomenological Realism. In Mirja Hartimo (ed.), Phenomenology and Mathematics. Springer. 1--22.
Richard Tieszen (2002). Phenomenology and Mathematics: Dedicated to the Memory of Gian-Carlo Rota (1932 4 27-1999 4 19). Philosophia Mathematica 10 (2):97-101.
Carlo Ierna (2007). Review of R. Tieszen, Phenomenology, Logic, and the Philosophy of Mathematics. [REVIEW] History and Philosophy of Logic 28 (2):173-174.
Richard L. Tieszen (2005). Phenomenology, Logic, and the Philosophy of Mathematics. Cambridge University Press.
Added to index2009-01-28
Total downloads8 ( #241,105 of 1,696,468 )
Recent downloads (6 months)1 ( #342,645 of 1,696,468 )
How can I increase my downloads?