Single Idea 5526

[catalogued under 12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts]

Full Idea

It is clearer that all arithmetical propositions are synthetic if we take larger numbers, for it is then clear that, twist and turn our concepts as we will, without help from intuition we could never find the sum by means of the mere analysis of concepts.

Gist of Idea

With large numbers it is obvious that we could never find the sum by analysing the concepts

Source

Immanuel Kant (Critique of Pure Reason [1781], B016)

Book Reference

Kant,Immanuel: 'Critique of Pure Reason', ed/tr. Guyer,P /Wood,A W [CUO 1998], p.144


A Reaction

I don't see this. Obviously we may not know the name of the number which is the answer. We must analyse 'plus' as well as the component numbers. How can it be synthetic if no experience is involved?