Question

hume distinguishes between relations of ideas and matters of fact. he holds that relations of ideas are demonstratively certain. which of the following is an example of a statement that falls under relations of ideas?
the stone i am holding will fall to the ground if i let go of it.
the sun will rise tomorrow.
all triangles have three and only three sides, and have three interior angles.
all of these in this set are what hume labels, relations of ideas.
none of these in this set are what hume labels, relations of ideas.

Explanation:

Hume's 'relations of ideas' are known for being demonstratively certain, based on logic and definitions. The statement about triangles is a logical - geometric truth based on definitions. The other two statements about the stone falling and the sun rising are matters of fact based on experience and not demonstratively certain.

Answer:

C. All triangles have three and only three sides, and have three interior angles.