How can I know nothing is red and green all over, when I’ve never checked every red thing?
A friend gave me this puzzle and I can't stop thinking about it.
A surface cannot be completely red and completely green at the same time, in the same place. I am sure of this. But I have not checked every red thing in the world. I did not do an experiment. I just see that it must be so, by thinking. How is that possible? Is it really knowledge, or just something about how we use the words "red" and "green"?
The reason it bothers me: last month I read al-Ghazālī's Deliverance from Error, where he describes a period when he doubted even things like "ten is more than three". He imagined that reason might be judged by some higher faculty, the way reason judges the senses when it tells us the sun is bigger than it looks. If someone as serious as al-Ghazālī could doubt that, what makes "red and green can't overlap" safe?
Please explain simply what "a priori" knowledge is and what the main positions are. I know the word but not much more.