Search Forum:

I supposed you are aware of the scientific facts that when a human mind answers 12 when asked 7+5, it does not mean it understand the logical necessity imbedded in this action.?For example, many researchers (Greco was the first in Geneva) have demonstrated that children's mind (usually the youngest) often consider 12 as a quotit?and not as a real cardinal quantity.....? For example, they would say that two rows of 12 candies have the same number ("twelve"), but one has more to eat because it is spread out!?Thus when 4-5-year-olds answer correctly his or her firsts addition problems, 4 to 2+2, nothing is less sure about their understanding of its supposed logical necessity.... With those empirical facts, does Kant's example 7+5 remains a good example of APK (necessary and universal)? Or may be it confirms a nuance in his thought according to which?"giving the right response to the question "What is 7 + 5?" is not APK", as you wrote below... See this paper, for a recent review of works on quotit?and quantity in children, in english