*interesting*updates.

Hopefully, when my assignments are done I shall devote my time to making some more thought provoking posts.

But for now I'll leave you to ponder

*Russel's Paradox*

**Pre-reading:**The following assumes that you are all familiar with a set, if not then put simply;

A set is a collection of objects.

Generally there will be a rule discerning whether an object is included in a set or not. for example;

A set of all shoe brands does not have colgate as a member (since colgate is a toothpaste brand).

The members of a set can also be sets themselves, for example;

The set of all forks is a member of the set of all cutlery.

Now make a proposal;

*Let F be the set of all forks, F itself is not a fork therefore F does not contain itself as a member.*

*We can call F as a*

**normal**set.

*Now suppose we have a set NF - this is the set of all things that are*

**not**forks. NF itself is not a fork, therefore it contains itself as a member. We can call NF an**abnormal**set.

*Suppose we have a new set*

**G**- with all of its elements**normal sets.**Now, if**G**is**normal**then it should contain itself as a member - but the instant it contains itself,**G**becomes abnormal.

*This is known as*

**Russel's Paradox.**
I was getting worried you had vanished into the vast depths of the internet. Will you be posting mathematical related material again soon?

ReplyDeleteThanks for the info!

ReplyDeletegreat post. following you

ReplyDeletelove a good paradox Adam cheers

ReplyDeleteHey man I've started an Anatomy Mnemonics blog,

ReplyDeletecheck it out for some learning and some laughs

http://mnemonicanatomy.blogspot.com/

http://www.somethingofthatilk.com/comics/41.jpg

ReplyDelete