You're right in a way, that method doesn't give you a prime in general. No one suggested that it did though. The proof was a proof by contradiction, i.e assume notX and generate a contradiction. Based on the assumption that there is a largest prime the procedure works fine. P(i) does not divide P(1)...P(n)+1 for any i in 1..n and by the assumption these are the only primes. The whole body of the proof is showing that "There is a maximum prime P(n)" => "There is a prime > P(n)" giving the contradiction. Therefore there is no maximum prime P(n) and so there must be an infinite number of them.
It's not just a matter of doing the homework. When I started high school I had really bad homework habits. I wasn't really interested in a lot of the subjects, I felt we were given too much work, and I resented school eating into what I saw as my free time. Because of this I usually ended up leaving the work until the night before it was due in and I generally only did the bare minimum necessary. When I went to sixth form this changed; I only had to do subjects that I was interested in, they treated me like a person (i.e. no just threatening me with detentions), and I felt the amount of work was better suited to the time I had available. As a result I usually did the work thoroughly within a day or two of receiving it.
The homework I did at sixth form helped me a lot and I breezed through my A-levels, whereas I feel my earlier homework barely helped.
Enforced homework is of little use. Yes, it can help in some ways but it can also make children lose interest and that is more harmful in the long run
It's a slightly different situation in the UK than in the USA. All films must get a classification from the BBFC while games tend to get a rating by the voluntary PEGI (or the older ELSPA). However certain games must also be submitted to the BBFC (e.g. GTA:SA has a BBFC 18 rating). On videos (and I believe also on games) these ratings are legally binding. For films shown at the cinema on the other hand, it's up to the local authority, however these nearly always use the BBFC rating (spiderman was one exception). The voluntary systems aren't legally binding and both Game and Amazon describe them as guidelines and don't give the impression that they enforce them.
On the subject of the R18 rating, this is used almost exclusively for hardcore porn and can only be sold in specially licenced shops (of which there are apparently about 90 in the UK)
I would guess that by the 2d ones he meant the "point and click" "Fate of Atlantis and "The Last Crusade" rather than the more recent tomb raider style games.
Both contain fighting sections, but as far as I'm aware you can avoid all of these (at least in atlantis). There were also action games based on the above games but I've neer played them.
At the same time let's get rid of such concepts as sea and land, simply have 2 different colours to distinguish between different types of square. Any why have named units? After all, the important thing about a unit is its stats. Hills, Mountains, Forests? Let us not think we are actually talking about real features, replace them with abstract concepts such as squares of type A, B and C. Continue this process to it's logical conclusion and what do you get? A game with identical gameplay but which is blander and less fun to play. As an intellectual exercise this would have merit, but as a game? There is more to graphics in civ than to simply provide a convenient shorthand for the different statistics of each element of the game. Provided the graphics do not obscure the gameplay mechanics I cannot see why they cannot be used to improve the game.
In summary, I'm sure I'm not the only person who would rather order a persian warrior to attack a fortified german spearman than to make a 1-1-1 unit of Team 1 attack a 1-2-1 unit with a defence bonus of Team 2. The concepts from the second part still apply in the first, but there's more to it than an abstract intellectual exercise.
Slashdot Mirror
You're right in a way, that method doesn't give you a prime in general. No one suggested that it did though. The proof was a proof by contradiction, i.e assume notX and generate a contradiction. Based on the assumption that there is a largest prime the procedure works fine. P(i) does not divide P(1)...P(n)+1 for any i in 1..n and by the assumption these are the only primes. The whole body of the proof is showing that "There is a maximum prime P(n)" => "There is a prime > P(n)" giving the contradiction. Therefore there is no maximum prime P(n) and so there must be an infinite number of them.
It's not just a matter of doing the homework. When I started high school I had really bad homework habits. I wasn't really interested in a lot of the subjects, I felt we were given too much work, and I resented school eating into what I saw as my free time. Because of this I usually ended up leaving the work until the night before it was due in and I generally only did the bare minimum necessary. When I went to sixth form this changed; I only had to do subjects that I was interested in, they treated me like a person (i.e. no just threatening me with detentions), and I felt the amount of work was better suited to the time I had available. As a result I usually did the work thoroughly within a day or two of receiving it.
The homework I did at sixth form helped me a lot and I breezed through my A-levels, whereas I feel my earlier homework barely helped.
Enforced homework is of little use. Yes, it can help in some ways but it can also make children lose interest and that is more harmful in the long run
It's a slightly different situation in the UK than in the USA. All films must get a classification from the BBFC while games tend to get a rating by the voluntary PEGI (or the older ELSPA). However certain games must also be submitted to the BBFC (e.g. GTA:SA has a BBFC 18 rating). On videos (and I believe also on games) these ratings are legally binding. For films shown at the cinema on the other hand, it's up to the local authority, however these nearly always use the BBFC rating (spiderman was one exception). The voluntary systems aren't legally binding and both Game and Amazon describe them as guidelines and don't give the impression that they enforce them.
On the subject of the R18 rating, this is used almost exclusively for hardcore porn and can only be sold in specially licenced shops (of which there are apparently about 90 in the UK)
I would guess that by the 2d ones he meant the "point and click" "Fate of Atlantis and "The Last Crusade" rather than the more recent tomb raider style games.
Both contain fighting sections, but as far as I'm aware you can avoid all of these (at least in atlantis). There were also action games based on the above games but I've neer played them.
of course that's £295,625,000 which (according to xe.com) is equivalent to $513,719,444.28.
This is of course, "over HALF A BILLION DOLLARS!"
At the same time let's get rid of such concepts as sea and land, simply have 2 different colours to distinguish between different types of square. Any why have named units? After all, the important thing about a unit is its stats. Hills, Mountains, Forests? Let us not think we are actually talking about real features, replace them with abstract concepts such as squares of type A, B and C. Continue this process to it's logical conclusion and what do you get? A game with identical gameplay but which is blander and less fun to play. As an intellectual exercise this would have merit, but as a game? There is more to graphics in civ than to simply provide a convenient shorthand for the different statistics of each element of the game. Provided the graphics do not obscure the gameplay mechanics I cannot see why they cannot be used to improve the game. In summary, I'm sure I'm not the only person who would rather order a persian warrior to attack a fortified german spearman than to make a 1-1-1 unit of Team 1 attack a 1-2-1 unit with a defence bonus of Team 2. The concepts from the second part still apply in the first, but there's more to it than an abstract intellectual exercise.
probably the same people who answered this other useful AOL survey