International Studies in the Philosophy of Science 10 (2):159-171 (1996)
Abstract A number is the number of a class which is an objective, nonactual, mathematical object. The concept of class is analyzed and it is concluded that a number is the number of a pure founded class. A tempting strategy of explaining numbers away is rejected. Some well?known definitions of numbers are analyzed and it is concluded that this analysis purports the thesis that the unique notion of number does not exist. Numbers are conventional. Nevertheless, an argument is offered purporting the thesis that von Neumann's ordinal numbers are the ordinal numbers. Accordingly, the corresponding von Neumann's cardinal numbers are the numbers
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
Citations of this work BETA
No citations found.
Similar books and articles
Number Words and Reference to Numbers.Katharina Felka - 2014 - Philosophical Studies 168 (1):261-282.
Reference to Numbers in Natural Language.Friederike Moltmann - 2013 - Philosophical Studies 162 (3):499 - 536.
Platonic Number in the Parmenides and Metaphysics XIII.Dougal Blyth - 2000 - International Journal of Philosophical Studies 8 (1):23 – 45.
Number Relationships-2008 as an Algorithm or Relationship Between Numbers. A Number Relationship Discovered Similar to Pi, E, and 0.James Timothy Struck - unknown
Monoidal Categories with Natural Numbers Object.Robert Paré & Leopoldo Román - 1989 - Studia Logica 48 (3):361 - 376.
A Model-Theoretic Approach to Ordinal Analysis.Jeremy Avigad & Richard Sommer - 1997 - Bulletin of Symbolic Logic 3 (1):17-52.
Against the Inappropriate Use of Numerical Representation in Social Simulation.Dr Bruce Edmonds - manuscript
The Distribution of Numbers and the Comprehensiveness of Reasons.Véronique Munoz-Dardé - 2005 - Proceedings of the Aristotelian Society 105 (2):207–233.
Added to index2010-05-07
Total downloads158 ( #28,928 of 2,158,279 )
Recent downloads (6 months)2 ( #194,705 of 2,158,279 )
How can I increase my downloads?