Difference between revisions of "Wondrous Mathematics: Fun with infinitely large numbers"
From 35C3 Wiki
(One intermediate revision by the same user not shown)  
Line 16:  Line 16:  
GUID=45a1344770ed47d282aee88366738130  GUID=45a1344770ed47d282aee88366738130  
}}  }}  
+  '''For reasons unknown, this session has evaporated from the calendar. This is to confirm that the session IS taking place, as announced here on the wiki.'''  
+  
This talk gives a leisurely introduction to ordinal numbers and cardinal numbers, two systems for rigorously talking about infinitely large numbers. In philosophy, infinity is a somewhat fuzzy, nebulous concept ("love is infinite"). In contrast, in mathematics, we can talk rigorously about infinities. It turns out that there is an infinite tower of higher and higher infinities.  This talk gives a leisurely introduction to ordinal numbers and cardinal numbers, two systems for rigorously talking about infinitely large numbers. In philosophy, infinity is a somewhat fuzzy, nebulous concept ("love is infinite"). In contrast, in mathematics, we can talk rigorously about infinities. It turns out that there is an infinite tower of higher and higher infinities.  
Line 23:  Line 25:  
If you already know ordinal arithmetic, for instance from a course on set theory in university, then stay away from this talk, unless you want to contribute to the talk by witty remarks. You will be bored to hell. There is also a [https://events.ccc.de/congress/2018/wiki/index.php/Session:Wondrous_Mathematics:_Large_numbers,_very_large_numbers_and_very_very_large_numbers companion talk] on very large, but still finite, numbers. This talk is not a prerequisite of the other, and vice versa.  If you already know ordinal arithmetic, for instance from a course on set theory in university, then stay away from this talk, unless you want to contribute to the talk by witty remarks. You will be bored to hell. There is also a [https://events.ccc.de/congress/2018/wiki/index.php/Session:Wondrous_Mathematics:_Large_numbers,_very_large_numbers_and_very_very_large_numbers companion talk] on very large, but still finite, numbers. This talk is not a prerequisite of the other, and vice versa.  
+  
+  * '''[https://www.youtube.com/watch?v=wZzn4INtbwY Recording of an older installment of the talk]'''  
+  * '''[https://www.youtube.com/watch?v=sUqwFbbwHQo Recording of a talk on super Turing machines]''' (in German) 
Latest revision as of 22:43, 30 December 2018
Description  Is infinity plus one bigger than infinity? Or is it still just infinity? If you were bothered by this question at some point in your life, this talk is for you. It gives you the graphical tools to decide this question for yourself without any remaining doubt. Absolutely no mathematical prerequisites needed. 

Website(s)  
Type  Talk 
Kids session  No 
Keyword(s)  science 
Tags  mathematics, infinity 
Processing assembly  Assembly:Curry Club Augsburg 
Person organizing  Iblech 
Language  en  English 
Other sessions...

(Click here to refresh this page.)
Starts at  2018/12/29 16:10 

Ends at  2018/12/29 17:10 
Duration  60 minutes 
Location  Room:Lecture room M2 
For reasons unknown, this session has evaporated from the calendar. This is to confirm that the session IS taking place, as announced here on the wiki.
This talk gives a leisurely introduction to ordinal numbers and cardinal numbers, two systems for rigorously talking about infinitely large numbers. In philosophy, infinity is a somewhat fuzzy, nebulous concept ("love is infinite"). In contrast, in mathematics, we can talk rigorously about infinities. It turns out that there is an infinite tower of higher and higher infinities.
In order to enjoy the talk, absolutely no mathematical prerequisites are needed: The talk is even accessible to school children of age ten and above (if they understand English). And still it is mathematically rigorous – we'll learn how to think about and compute with infinities in a precise fashion. After the talk you'll be able to effortlessly converse on infinitely large numbers with your mates.
The talk also discusses philosophical issues of epistemology: It turns out that there are some mathematical questions about infinity for which we will never know the answer – provably so. We will explain what these questions are and what modern mathematics has to say about them.
If you already know ordinal arithmetic, for instance from a course on set theory in university, then stay away from this talk, unless you want to contribute to the talk by witty remarks. You will be bored to hell. There is also a companion talk on very large, but still finite, numbers. This talk is not a prerequisite of the other, and vice versa.