16 Nov '08 21:00>
Regular base 10 number, nothing tricky there. 1634, what makes it unusual?
Originally posted by sonhouseIt's a unique number, there is no other number with the same value.
Regular base 10 number, nothing tricky there. 1634, what makes it unusual?
Originally posted by FabianFnasWell, it has a certain property not many other numbers have. Got one correct reply by email already.
It's a unique number, there is no other number with the same value.
On the other hand, every number are unique, so there is nothing more unique with this number than any other number, they are equally unique all of them.
Right?
Originally posted by coquetteIsn't it funny, in Wolfram's column, he devotes an awful lot of time to the numbers that are of no interest to mathemeticians🙂
http://en.wikipedia.org/wiki/1634
http://www.stetson.edu/~efriedma/numbers.html
http://mathworld.wolfram.com/NarcissisticNumber.html
Originally posted by FabianFnasI've seen this in a few places now, and I still think it's great 🙂.
Statement (p): Every positive integer has an important property.
Proof by contradiction:
Anti-statement (-p): There is a number that has no important property.
The lowest number of all non-important number must be important being the lowest one. Then there is another non-important number. Apply this number to (-p).
This contradicts the anti-statement (-p).
Therefore the statement (p) holds.
Conclusion: Every number
Originally posted by FabianFnasThat sounds great, but does not fit.
Statement (p): Every positive integer has an important property.
Proof by contradiction:
Anti-statement (-p): There is a number that has no important property.
The lowest number of all non-important number must be important being the lowest one. Then there is another non-important number. Apply this number to (-p).
This contradicts the anti-statement (-p).
Therefore the statement (p) holds.
Conclusion: Every number
Originally posted by afxYou missed the most important step in the proof.
That sounds great, but does not fit.
The first "number with nothing special about" is great, but nobody
is interested in the 2nd one.
Who was the 2nd man on the moon?
Who flew as 2nd man across the atlantic ocean?
Who was the 2nd fastest mouse in all of mexico?
Nobody cares. The winner takes it all.
Originally posted by FabianFnasi do love this, but i was looking forward to contributing a great wikipedia article i read once about mathematical paradoxes and systems of reference... but i can't seem to find it! pretty sure it was in reading about Hilbert/Russel/Godel, etc. if anyone finds it it's a great link.
Statement (p): Every positive integer has an important property.
Proof by contradiction:
Anti-statement (-p): There is a number that has no important property.
The lowest number of all non-important number must be important being the lowest one. Then there is another non-important number. Apply this number to (-p).
This contradicts the anti-statement (-p).
Therefore the statement (p) holds.
Conclusion: Every number
Originally posted by TheMaster37No, I did not.
You missed the most important step in the proof.