In his summing up he defended the usefulness of mathematics saying that it has important applications to setting the calendar (quoting Plato as his authority), and was vital in military affairs (this time using the example of Archimedes to make his point).
Sa kanyang lagom siya defended ang kahalagahan ng matematika kasabihan na ito ay may mahalagang aplikasyon sa mga setting ng kalendaryo (quoting Plato bilang kanyang awtoridad), at noon ay mahalaga sa militar na bagay (mga oras na ito gamit ang mga halimbawa ng Archimedes upang gumawa ng kanyang point).