??? 08/10/06 16:36 Read: times |
#121974 - 801 Responding to: ???'s previous message |
I was going to say that 801 is a dull number but then:-
The interesting number paradox is a semi-humorous paradox that arises from attempting to classify numbers as "interesting" or "dull." 1729, for example, may be called an interesting number because it is the smallest number expressible as the sum of two positive perfect cubes in two different ways. However, attempting to classify all numbers this way leads to a paradox (strictly speaking, an antinomy of definition). Any hypothetical partition of natural numbers into interesting and dull sets seems to fail. For instance, suppose all the numbers up to 37 are considered interesting, but 38 is not. That very property (38 being the first dull number) could well be considered an interesting fact, and hence 38 is not dull after all. In this way one may argue, using proof by contradiction that each natural number is unable to be the smallest dull number, and so one may declare that all numbers must be interesting. This conclusion contradicts the intuitive notion that the natural numbers are apparently too many for all of them to be subjectively interesting. |
Topic | Author | Date |
resistence measurment using 801 with LCD display | 01/01/70 00:00 | |
Do you realise what you\'re asking for? | 01/01/70 00:00 | |
hi russell | 01/01/70 00:00 | |
No chance | 01/01/70 00:00 | |
I love it | 01/01/70 00:00 | |
801 | 01/01/70 00:00 | |
Have a beer... | 01/01/70 00:00 | |
impossible | 01/01/70 00:00 | |
milliohmmeter | 01/01/70 00:00 | |
What's an 801? | 01/01/70 00:00 | |
How precise must it be? | 01/01/70 00:00 | |
too late![]() | 01/01/70 00:00 |