Este blog no tiene ninguna otra finalidad que compartir y ayudar a reflexionar sobre lógica y filosofía de la lógica, filosofía de las matemáticas, de la ciencia etc.
El blog es absolutamente gratuito. Mando los artículos a quienes lo soliciten y me envíen su mail . Es importante difundir nuestras reflexiones, discusiones, investigaciones y logros en el campo de las disciplinas que nos apasionan .
Gracias por seguir el blog !!!
sábado, 5 de mayo de 2012
Friederike Moltmann Reference to numbers in natural language
Abstract A common view is that natural language treats numbers as abstract
objects, with expressions like the number of planets, eight, as well as the number
eight acting as referential terms referring to numbers. In this paper I will argue that
this view about reference to numbers in natural language is fundamentally mistaken.
A more thorough look at natural language reveals a very different view of the
ontological status of natural numbers. On this view, numbers are not primarily
treated abstract objects, but rather ‘aspects’ of pluralities of ordinary objects,
namely number tropes, a view that in fact appears to have been the Aristotelian view
of numbers. Natural language moreover provides support for another view of the
ontological status of numbers, on which natural numbers do not act as entities, but
rather have the status of plural properties, the meaning of numerals when acting like
adjectives. This view matches contemporary approaches in the philosophy of
mathematics of what Dummett called the Adjectival Strategy, the view on which
number terms in arithmetical sentences are not terms referring to numbers, but
rather make contributions to generalizations about ordinary (and possible) objects.
It is only with complex expressions somewhat at the periphery of language such as
the number eight that reference to pure numbers is permitted.