Eduardo Caianiello

Reading a Number

Are you already subscribed?
Login to check whether this content is already included on your personal or institutional subscription.

Abstract

In this article we reject "aggregative thinking" (Frege, 1884) in Arithmetic and symbolic neuro-cognition (Dehaene 1997, 2007), in two moments. The first directed against the additive perspective: the idea that a number is itself the result of an accumulation of "units". The second against the combinatorial perspective: the idea that the number so as the natural word are the result of an exercise in combinatorial calculus, and not rather its necessary and irreducible premise. Our proposal: the number is at once the seed and a resulting object of a more general hermeneutic activity of the human mind. The symbolization skill that at present is called "numeracy" is therefore reinterpreted as a special form of "literacy".

Keywords

  • 4 Operations of Arithmetic
  • Combinatorial Calculus
  • Didactics and Pedagogy of Mathematics
  • Literacy
  • Numeracy
  • Philosophy of Mathematics
  • Symbolic Neurocognition

Preview

Article first page

What do you think about the recent suggestion?

Trova nel catalogo di Worldcat