On 18 Feb., 10:19, "Phil Roberts, Jr." <phil...@[EMAIL PROTECTED]
> wrote:
> It has been many years since I've read the Critique of Pure
> Reason, and perhaps I am misrembering, but I was always
> perplexed by Kant's insistence that 1 + 1 =3D 2 is a
> synthetic proposition. =A0If an analytic proposition is
> simply one that is true by denfintion, e.g.,
> all unmarried men are bachelors, wouldn't 1 plus 1
> equals 2 be in this category as well?
>
> --
>
> Phil Roberts, Jr.http://www.rationology.net
>
> .
Kant don't say, that 1+1=3D2 is in any case (perspective of
construction) a synthetic judgment. But he say this for 5+7=3D12 (Axiome
der Anschauung), and this is in any perspective of construction a
synthtecic judgment, because there is a difference between putting
two numbers together (this give us two elements) or to add the number
5 and the number 7: the second operation give us 12 elements. I think,
it means, that in arithmetic is not possible to think about the number
7 as an pr=E4dicat of a subject, called number 5, its have to be a
conclusio. But its possible to think about 5+7 as two sentences, and
the relation between is not =BBtrue=AB or =BBfalse=AB like in logic, but
the=
constructed number 12. After this it is possible to do this
=BBanalytic=AB, because we need the rule, not the cause of the rule.
|
