Necessity vs Sufficiency

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Particularly for those taking TMUA
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Your videos are really helpful. Thanks a lot

parhambeiraghdar
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12:08 i think it would be better to say only 2 factors to avoid confusion

michaelswahla
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For the example: Is being prime necessary or sufficient to have 2 factors. Could you say it is not necessary as a counter example would be -1 which has factors -1, 1 or is there a flaw in this logic ? There was no restriction in the example stipulating positive integers

vuk
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A is necessary for B => You have to satisfy A to be B
A is sufficient for B => Satisfying A automatically makes you satisfy B

liangchen
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These videos are great 👍 Apart from TMUA papers, what other resource could I use to revise for the exam?

LK-skwl
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At 11:45 the example you gave says "Is being prime necessary or sufficient to be have 2 factors". I'm not sure that the "be" there means... If the statement was "Is being prime necessary or sufficient to have 2 factors", that would not be necessary (as 8 has 2 factors) but is sufficient (as all primes have 2 factors). If the statement was "Is being prime necessary or sufficient to have only 2 factors" then it would be both necessary and sufficient (as only prime have 2 factors --> Necessary, and if you have a prime then there's obviously only 2 factors --> Sufficient.)

Am I understanding that wrong? Or was there just a typo leading to my confusion 😅

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