Euclid’s postulates and common notions – D15

To end our day at MPC, we got into our groups and finished discussing Euclid’s postulates and common notions. It was interesting how Euclid makes emphasis in the postulates (an assumption of truth), which I saw them as the Allegory of the Cave by Plato. What I mean is that as Plato believe that the perfect forms were only at the intelligible world and in the physical world we could only see the shadows of those objects, Euclid is also saying we must assume we can make certain things as a straight line and a circle although in the physical world they would be imperfect. By common notions, I understood as things we could deduce by pure logic and know them in an “a priori” way. It was good to make this distinction and connection with other examples.