It is currently Sat Oct 21, 2017 3:04 am

 12 posts • Page 1 of 1
Author Message
Prometheus
 Post subject: Greek paradoxes  |  Posted: Wed Mar 14, 2012 10:11 am

Original Member

Joined: Sun Aug 07, 2011 8:58 am
Posts: 314

 I've got to write a short essay on 'any' subject in mathematics. I was thinking of writing about one of the Greek mathematical paradoxes, maybe Zeno's 'Achilles and the tortoise' (which i understand the solution to be a proper understanding of series).I'd thought i'd just throw it out here though, see if any one knows of any other good Greek paradoxes worth writing about...
iNow
 Post subject: Re: Greek paradoxes  |  Posted: Wed Mar 14, 2012 6:50 pm

Original Member

Joined: Thu Aug 04, 2011 11:40 pm
Posts: 5728
Location: Iowa

 Maybe the current sovereign debt crisis they are facing... _________________iNow"[Time] is one of those concepts that is profoundly resistant to a simple definition." ~C. Sagan
DrRocket
 Post subject: Re: Greek paradoxes  |  Posted: Wed Mar 14, 2012 7:09 pm
Original Member

Joined: Fri Aug 05, 2011 2:22 am
Posts: 477

Prometheus
 Post subject: Re: Greek paradoxes  |  Posted: Mon Mar 19, 2012 12:07 pm

Original Member

Joined: Sun Aug 07, 2011 8:58 am
Posts: 314

DrRocket
 Post subject: Re: Greek paradoxes  |  Posted: Mon Mar 19, 2012 5:24 pm
Original Member

Joined: Fri Aug 05, 2011 2:22 am
Posts: 477

Prometheus
 Post subject: Re: Greek paradoxes  |  Posted: Mon Mar 19, 2012 5:58 pm

Original Member

Joined: Sun Aug 07, 2011 8:58 am
Posts: 314

 Could the puzzle - whatever - also be explained in terms of set theory? Still very new to this, so this might be jumbled, plus i don't know the correct notation...Could we say that the infinities contained within the distance between the runners is a set which has infinite members (set A)? Could we also say that set A itself is entirely contained within another set (set B)- which would make it A a subset of B. Now this is the bit i'm less sure of - would it then be fair to say that because set A is contained in set B, set A is then countable (you have enough members in B to count A plus more).Don't know if that makes sense, I'm just trying to get my head around set theory. I can see why the Greeks had difficulties though - its a slippery concept.
DrRocket
 Post subject: Re: Greek paradoxes  |  Posted: Mon Mar 19, 2012 8:44 pm
Original Member

Joined: Fri Aug 05, 2011 2:22 am
Posts: 477

 . _________________gone Last edited by DrRocket on Fri Jul 06, 2012 1:18 am, edited 1 time in total.
Prometheus
 Post subject: Re: Greek paradoxes  |  Posted: Tue Mar 20, 2012 12:31 am

Original Member

Joined: Sun Aug 07, 2011 8:58 am
Posts: 314

 I'm learning maths to help with my science; i'm not sure how practical set theory would be. But for some reason it does appeal to me.
DrRocket
 Post subject: Re: Greek paradoxes  |  Posted: Tue Mar 20, 2012 5:32 pm
Original Member

Joined: Fri Aug 05, 2011 2:22 am
Posts: 477

 Prometheus wrote:I'm learning maths to help with my science; i'm not sure how practical set theory would be. But for some reason it does appeal to me.Basic set theory, as in the book by Halmos, is fundamental to learning other mathematics. It is rather simple stuff and not something that requires a formal class, and in fact it would be rather difficult to find enough material for a formal class. Get the book and read it. It is quite short and quite clear. You can read it over a weekend. _________________gone
GiantEvil
 Post subject: Re: Greek paradoxes  |  Posted: Thu Mar 22, 2012 8:48 pm

Original Member

Joined: Sat Aug 06, 2011 10:19 am
Posts: 786

 The Halmos book is good, I have a 61' edition.The paperback is the best deal.It isn't a large book and could be read in a weekend, but I've been intentionally digesting it slowly in small bits. For maximum comprehension.I also recommend this book on set theory. _________________It is wrong always, everywhere, and for anyone, to believe anything upon insufficient evidence.-W. K. Clifford-
Prometheus
 Post subject: Re: Greek paradoxes  |  Posted: Fri Mar 23, 2012 2:10 pm

Original Member

Joined: Sun Aug 07, 2011 8:58 am
Posts: 314

 I'll check them out - see if the library has got copies first.
iNow
 Post subject: Re: Greek paradoxes  |  Posted: Thu Apr 18, 2013 8:24 pm

Original Member

Joined: Thu Aug 04, 2011 11:40 pm
Posts: 5728
Location: Iowa

 Old thread, but I thought it was a good place to share this: _________________iNow"[Time] is one of those concepts that is profoundly resistant to a simple definition." ~C. Sagan
 Display posts from previous: All posts1 day7 days2 weeks1 month3 months6 months1 year Sort by AuthorPost timeSubject AscendingDescending
 12 posts • Page 1 of 1

Who is online
 Users browsing this forum: No registered users and 0 guests You cannot post new topics in this forumYou cannot reply to topics in this forumYou cannot edit your posts in this forumYou cannot delete your posts in this forum