Constructions
Philosophy of Science 53 (4):514-534 (1986)
| Abstract | The paper deals with the semantics of mathematical notation. In arithmetic, for example, the syntactic shape of a formula represents a particular way of specifying, arriving at, or constructing an arithmetical object (that is, a number, a function, or a truth value). A general definition of this sense of "construction" is proposed and compared with related notions, in particular with Frege's concept of "function" and Carnap's concept of "intensional isomorphism." It is argued that constructions constitute the proper subject matter of both logic and mathematics, and that a coherent semantic account of mathematical formulas cannot be given without assuming that they serve as names of constructions | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,679 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesThomas Mormann (2006). Description, Construction and Representation. From Russell and Carnap to Stone. In Guido Imagire & Christine Schneider (eds.), Untersuchungen zur Ontologie.
Kimiko Nakanishi (2007). Measurement in the Nominal and Verbal Domains. Linguistics and Philosophy 30 (2):235 - 276.
Byeong-Uk Yi (2005). The Logic and Meaning of Plurals. Part I. Journal of Philosophical Logic 34 (5-6):459-506.
Omar W. Nasim (2009). Bertrand Russell and the Edwardian Philosophers: Constructing the World. Palgrave Macmillan.
Chongli Zou & Nianxi Xia (2008). A Formal Treatment of the Causative Constructions in Chinese. Frontiers of Philosophy in China 3 (2):307-316.
Byeong-uk Yi (2006). The Logic and Meaning of Plurals. Part II. Journal of Philosophical Logic 35 (3):239-288.
Analytics
Monthly downloads |
Added to index2009-01-28Total downloads10 ( #106,301 of 549,087 )Recent downloads (6 months)1 ( #63,317 of 549,087 )How can I increase my downloads? |
My notes
Discussion
