effect of Gödel’s Incompleteness Theorems on Set theory

[bt359]

effect of Gödel’s Incompleteness Theorems on Set theory

Hello, I am doing my assignment on "effect of Gödel’s Incompleteness Theorems on maths and Set theory"
I have did online search and it seems to me very confusion. I was wandering if anyone knows anything about this topic, if so where to find books and best resources..

 

[pka]

Hello, I am doing my assignment on "effect of Gödel’s Incompleteness Theorems on maths and Set theory"
I have did online search and it seems to me very confusion. I was wandering if anyone knows anything about this topic, if so where to find books and best resources..

First, be sure you understand what the Incompleteness Theorem says: All consistent axiomatic formulations of number theory include undecidable propositions.
As you can imagine there is all sorts of material written on this topic. If you have access to a good library it should have a huge book by Douglas Hofstadter, Godel, Escher, Bach. You can read pages 15 to 41 and have a good idea about your topic.

Here is a radio piece about a novel on the subject.