Discussion:
Theorems from Text
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pmarkows
2011-11-30 03:59:47 UTC
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Hello,

In chapter 1 of the text book there are some theorems regarding
countability. Are we allowed to use these without proving them to prove
countability in question 3?

Thank you,
Philip Markowski
Curtis Bright
2011-11-30 13:11:04 UTC
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Question 3a is essentially Theorem 1.1.5 from the text, so don't just
quote those results; you should give a proof using the definition. The
text also uses a slightly different definition of countability.

Curtis
Post by pmarkows
Hello,
In chapter 1 of the text book there are some theorems regarding
countability. Are we allowed to use these without proving them to prove
countability in question 3?
Thank you,
Philip Markowski
Roman
2011-11-30 23:57:06 UTC
Permalink
Post by Curtis Bright
Question 3a is essentially Theorem 1.1.5 from the text, so don't just
quote those results; you should give a proof using the definition. The
text also uses a slightly different definition of countability.
Curtis
Post by pmarkows
Hello,
In chapter 1 of the text book there are some theorems regarding
countability. Are we allowed to use these without proving them to prove
countability in question 3?
Thank you,
Philip Markowski
Do we just have to show a method exists?
Curtis Bright
2011-12-01 00:10:28 UTC
Permalink
As long as you show a function exists with the required properties then
you've shown the set is countable.

Curtis
Post by Roman
Post by Curtis Bright
Question 3a is essentially Theorem 1.1.5 from the text, so don't just
quote those results; you should give a proof using the definition. The
text also uses a slightly different definition of countability.
Curtis
Post by pmarkows
Hello,
In chapter 1 of the text book there are some theorems regarding
countability. Are we allowed to use these without proving them to prove
countability in question 3?
Thank you,
Philip Markowski
Do we just have to show a method exists?
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