For a Dead Philosopher —

Dagger Definitions

Part I —

Click for some background.

Part II —

Click for some background.

Update of Jan. 2, 2011 —

Singer goes on to say that "A finite projective plane, PG (2, pⁿ ), defined in this way is Pascalian and Desarguesian ; it exists for every prime p  and positive integer n , and there is only one such PG (2, pⁿ ) for a given p  and n …."

His definitions therefore deliberately exclude non -Desarguesian finite projective planes, which were known to exist at the time he wrote.