/lit/ - Literature

>>14883639
In terms of pure math, look at pic related. Suppose we are ancient Greek pythagrean mathematicians. We only have the premises and know nothing about the conclusion of pythagorean theorem. We apply logic to the premises and we come away with new mathematical knowledge (pythagorean theorem), of which we had no knowledge beforehand. If this isn't synthetic knowledge then what is?
>>14883637
>Wrong, bad post.
If you are kind enough to let me know I'm wrong, please also be kind enough to tell me how I'm wrong.