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> In fact the rational complex numbers are more real than the non complex real numbers Fascinating. Can you say more about this or point me to where I may lear

• chunky1994 11mo ago
  Dummit and Foote is the classic abstract Algebra textbook to learn about how to precisely define these. Its treatment of ring theory is very well motivated and easy to grasp
• anon291 11mo ago
  In general, determining if two arbitrary reals are the same is impossible per the halting problem. People claim to measure 'real' numbers. This is a lie. People can only measure rational numbers. A real number is either a rational or the supremum of some arbitrary set of rationals (perhaps an infinite one). A set is described by whether or not a number is in it. To be able to determine what number is in your set you need to have some sort of decision procedure (a program). However, more real numbers exist than there are possible written programs. Thus, the full set of reals is inexpressible On the other hand, it's very easy to see and measure rational complex numbers with a protractor.