sbingner | no, 0.33333repeating is the best way of representing 1/3 in base 10, it is not truly 1/3 |

me22 | assuming you mean sum i = 1 to inf of 3*10^(-i) |

TRWBW3 | sbingner: what is a real number? |

redivider | what crap .. Matheticians know the results But the Value of Knothing? |

Olathe | sbingner: Prove it. |

TRWBW3 | sbingner: define a real number |

sbingner | I didn't say a real number, I said a true representation of 1/3 |

me22 | sbingner: 0.333... means sum i = 1 to inf of 3*10^(-i), which is exactly 1/3 bah |

Pthag | numbers are not processes |

TRWBW3 | sbingner: the challenge and quite. classy. sbingner: define a real number |

sbingner | I got booted, thanks |

me22 | sbingner: 0.333... means sum i = 1 to inf of 3*10^(-i), which is exactly 1/3 |

sbingner | I didn't say a real number, I said a true representation of 1/3... |

TRWBW3 | sbingner: okay define true represenation |

me22 | sbingner: you peered. thank before accusing. |

TRWBW3 | sbingner: or maybe define representation, then define true representation |

int-e | sbingner: then define the field you're working with. without such a definition, people will assume real numbers. |

Olathe | Success. |

TRWBW3 | sbingner: and define 1/3 i guess. |

Olathe | I'm getting a lot of success lately. |

sbingner | theoretically, I'm not working with anything |

TRWBW3 | sbingner: you've got true represantation of 1/3, so you need to define 1/3, define representation, and define true represenation sbingner: you said that very eloquently |

sbingner | 1/3 is a true representation of a third of anything |

int-e | sbingner: and for real numbers, 3*(sum i = 1 to inf of 3*10^(-i)) = 1, so this is the 'true' multiplicative inverse of 3. |

TRWBW3 | sbingner: you know that state young children are in when they don't know that they don't know so they think they know everything? that's you. |

sbingner | int-e, that is only because you cannot ever complete the sequence of 9's and you know there will always be another so it for all intents an purposes can be 1, however there is really no such number as 9 repeating. .9 I should say |

action | TRWBW3 does a hammer move, it's iggy time |

TRWBW3 | does a hammer move, it's iggy time |

Olathe | TRWBW3: Success ! |

int-e | sbingner: you have definitions to do that for you. the key definition is that of a limit of a sequence, which is used to define infinite sums like that. |

sbingner | I WANT somebody to prove to me that it exists, but I can't see how |

redivider | you are UnBelievable even for a MatheMatician? |

Pthag | There is no completion of a sequence because 0.333... is a number, not a process It's a noun, not a verb |

Espaque | It's a really lame idea to say decimals are processes |

me22 | Pthag: the assumption is that 0.333... means sum i = 1 to inf of 3*10^(-i), which is exactly 1/3 |

Pthag | I know |