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Topic: set builder notation
Replies: 12   Last Post: Aug 24, 2013 1:38 AM

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Peter Percival

Posts: 2,623
Registered: 10/25/10
Re: set builder notation
Posted: Aug 17, 2013 10:35 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply wrote:
> S = {x /in A | P(x) }
> For the set builder notation above, what we really means is:
> all things x, such that "x is element of A *and* P(x) is true" correct?


> The vertical bar is essentially conjunction, correct?

I'm not sure it can always be read thus. Your set is also denoted

{x | x in A & P(x)}

"x and x in A and P(x)" doesn't make sense to me. Better read


as "the set of ... such that ---."

Sorrow in all lands, and grievous omens.
Great anger in the dragon of the hills,
And silent now the earth's green oracles
That will not speak again of innocence.
David Sutton -- Geomancies

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