Cardinality of the statement

Discussion in 'Advanced Applied Math' started by suste88, Jan 24, 2020.

  1. suste88

    suste88

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    What is the cardinality of this statement { x|x is a string over {a, b, c} and |x| <= 2}
     
    suste88, Jan 24, 2020
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  2. suste88

    MathLover1

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    The set described is { a, b, c, aa, ab ,ac, ba, bb, bc, ca, cb, cc} over |x| <= 2

    and this set has cardinality 13 because there are 13 things in it
     
    MathLover1, Jul 14, 2021
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  3. suste88

    nycmathguy

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    Wow! I didn't know that you can do sets. Impressed. You know set theory? This is something for me to explore in the future after calculus 3.
     
    nycmathguy, Jul 17, 2021
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  4. suste88

    MathLover1

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    first time I learned about sets is in high school, 1965-69
     
    MathLover1, Jul 17, 2021
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  5. suste88

    nycmathguy

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    There is a course called Set Theory, which is not the same as high school sets.
     
    nycmathguy, Jul 17, 2021
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  6. suste88

    MathLover1

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    of course college set theory is more complex (nowadays considered as a foundation of all other branches of math , and the mathematical science of the infinite), and not same as high school
     
    MathLover1, Jul 17, 2021
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  7. suste88

    nycmathguy

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    It's an interesting course but not so easy to grasp.
     
    nycmathguy, Jul 17, 2021
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  8. suste88

    MathLover1

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    MathLover1, Jul 17, 2021
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  9. suste88

    nycmathguy

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    Thanks for the link. However, I want to study one course at a time. Note: suste88 didn't thank you for your effort and reply here. This is what I'm talking about. Boring site. You know what, I will post some questions for you. Maybe you are bored? Let me look for some questions that I don't know how to solve in the David Cohen precalculus textbook. Look for 3 or 4 questions in about 15 minutes.
     
    nycmathguy, Jul 17, 2021
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  10. suste88

    MathLover1

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    MathLover1, Jul 17, 2021
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  11. suste88

    nycmathguy

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    The basics of set theory is part of precalculus not the entire set theory course. Set theory is very intense at the college level. I can solve some basic set theory problems but this does not mean that I know the actual set theory course.
     
    nycmathguy, Jul 17, 2021
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