Is it true that 2 = {2} ? (Where {2} is the set containing just 2)

If not why is this the case?

Furthermore can we say that 2 E {{2}}?

Thanks :)

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- January 14th 2014, 07:39 AMkinhew93Is it true that x = {x} ?
Is it true that 2 = {2} ? (Where {2} is the set containing just 2)

If not why is this the case?

Furthermore can we say that 2 E {{2}}?

Thanks :) - January 14th 2014, 08:01 AMPlatoRe: Is it true that x = {x} ?
- January 14th 2014, 08:15 AMSorobanRe: Is it true that x = {x} ?
Hello, kinhew93!

Are you really this confused on basic Set theory?

Quote:

Is it true that 2 = {2}? .(Where {2} is the set containing just 2) .No

If not, why is this the case?

We have .

This is like having a banana.

We have .

This is a paper bag containing a banana.

These arethe same.*not*

Quote:

Furthermore can we say that: . .No

is a banana.

is a bag containing a banana.

is a bag containing a bag containing a banana.

We can say: .

. . . and that's all. - January 14th 2014, 10:42 AMkinhew93Re: Is it true that x = {x} ?
Thanks - i know its simple I was just checking exactly what the notation meant, eg is it like a bag containing a banana or just a 'group' of one banana. thanks for clarifying

- January 21st 2014, 05:30 AMHallsofIvyRe: Is it true that x = {x} ?