Prove: 2ε{a,2,b} in Set Theory

[solakis1]

Prove in any axiomatic set theory that:2ε{a,2,b} , where a,b are letters

 

[HOI]

What is the definition of "{a, 2, b}" in "axiomatic set theory"? What is the definition of "ε"?

 

[solakis1]

What is the definition of "{a, 2, b}" in "axiomatic set theory"? What is the definition of "ε"?

{a,2,b}={a,2}U{b}

 

[topsquark]

{a,2,b}={a,2}U{b}

Or even better, starting from where you left off: [math]\{ a, 2 \} \cup \{ b \} = \left ( \{ a \} \cup \{ 2 \} \right ) \cup \{ b \}[/math]

-Dan

 

[solakis1]

here is the solution for a similar problem given by seppel in MHF

[sp]Problem 1, Section 1...:( [/sp]

 

[MarkFL]

here is the solution for a similar problem given by seppel in MHF

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