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set theory

solakis

Active member
Dec 9, 2012
304
Prove in any axiomatic set theory that:


2ε{a,2,b} , where a,b are letters
 

Country Boy

Well-known member
MHB Math Helper
Jan 30, 2018
378
What is the definition of "{a, 2, b}" in "axiomatic set theory"? What is the definition of "ε"?
 

solakis

Active member
Dec 9, 2012
304

topsquark

Well-known member
MHB Math Helper
Aug 30, 2012
1,120
{a,2,b}={a,2}U{b}
Or even better, starting from where you left off: \(\displaystyle \{ a, 2 \} \cup \{ b \} = \left ( \{ a \} \cup \{ 2 \} \right ) \cup \{ b \}\)

-Dan
 

solakis

Active member
Dec 9, 2012
304

MarkFL

Administrator
Staff member
Feb 24, 2012
13,736
here is the solution for a similar problem given by seppel in MHF
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