What is your answer?
Mathematics applies to the world because
{ 1 } - mathematicians have intellectual intuitions of the world.
{ 2 } - there is a faculty of synthetic a priori intution.
{ 3 } - time and space are characteristics of things-in-themselves in the world.
{ 4 } - mathematical propositions are analytic.
{ 5 } - there is a faculty of synthetic a posteriori intuition.
<= back | menu | forward =>
Directions: Click on a number from 1 to 5.
1 is wrong. Please try again.
Mathematics applies to the world because
{ 1 } - mathematicians have intellectual intuitions of the world.
{ 2 } - there is a faculty of synthetic a priori intution.
{ 3 } - time and space are characteristics of things-in-themselves in the world.
{ 4 } - mathematical propositions are analytic.
{ 5 } - there is a faculty of synthetic a posteriori intuition.
No, according to Kant, in order to have an intellectuition of something, you must create it.
<= back | menu | forward =>
2 is correct!
Mathematics applies to the world because
{ 1 } - mathematicians have intellectual intuitions of the world.
{ 2 } - there is a faculty of synthetic a priori intution.
{ 3 } - time and space are characteristics of things-in-themselves in the world.
{ 4 } - mathematical propositions are analytic.
{ 5 } - there is a faculty of synthetic a posteriori intuition.
This is the faculty of sensibility, that receives sensations through the pure intuitions, forms of space and time.
<= back | menu | forward =>
Before continuing, you might try some wrong answers.
3 is wrong. Please try again.
Mathematics applies to the world because
{ 1 } - mathematicians have intellectual intuitions of the world.
{ 2 } - there is a faculty of synthetic a priori intution.
{ 3 } - time and space are characteristics of things-in-themselves in the world.
{ 4 } - mathematical propositions are analytic.
{ 5 } - there is a faculty of synthetic a posteriori intuition.
No, they are structures of the mind, not the world.
<= back | menu | forward =>
4 is wrong. Please try again.
Mathematics applies to the world because
{ 1 } - mathematicians have intellectual intuitions of the world.
{ 2 } - there is a faculty of synthetic a priori intution.
{ 3 } - time and space are characteristics of things-in-themselves in the world.
{ 4 } - mathematical propositions are analytic.
{ 5 } - there is a faculty of synthetic a posteriori intuition.
No, if they were analytic, they would be true by definition and not necessarily apply to the world.
<= back | menu | forward =>
5 is wrong. Please try again.
Mathematics applies to the world because
{ 1 } - mathematicians have intellectual intuitions of the world.
{ 2 } - there is a faculty of synthetic a priori intution.
{ 3 } - time and space are characteristics of things-in-themselves in the world.
{ 4 } - mathematical propositions are analytic.
{ 5 } - there is a faculty of synthetic a posteriori intuition.
No, it is the fact that there is a faculty of synthetic a priori propositions that enables mathematics to apply to the world. See p. 243.
<= back | menu | forward =>
the end