No indeterminates in the reals Of course there are indeterminates in the real numbers can you provide a complete representation in any number system for those numbers we call irrational The answer is no Even if it were possible for 0 999 to equal 1 it breaks the decimal system as it was intended since its invention Do you agree that not all real numbers can be represented in a radix system If yes why would you insist on having a cauchy sequence define a number Just because you can list the first few terms says nothing about the limit For example you can provide a Cauchy sequence that represents pi but you can not find its limit There are several contradictions in this branch of analysis All Cauchy sequences must have limits but you can not find the actual limit of most Cauchy sequences that represent the majority of real numbers you can not represent completely I am not calling you an idiot but I am glad that you think you are an idiot It s the first step to enlightment Am I logamath Nope Not logamath but I am the so called troll most of your wiki math gods hate I have the most extreme disdain for Michael Hardy Krmsq close runner up bum Melchoir and small fry like Meni Rosenfield in this order The rest of you are all pawns who have to support their view of the math world In the dark ages we had the leaders of the church who supported only their conception of the universe until someone smart came along and proved them to be all idiots who were hindering the progress of mankind Likewise Wikipedia will fail Hail Knol Knowledgeable individuals will be able to post without fools like you trampling all over their pearls No one on Wikipedia is qualified to edit my work You first have to know what I know and then you can speak to me on my level As arrogant as this sounds Hardy and company are bishops of the math church whose founders were exceptional fools like Cauchy Weierstrass and the rest who I don t care to mention 98 195 24 26