How do I solve this? | Mathematics | Page 1

finite nacelle Jun 17, 2025, 6:34 AM

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I dont understand what needs to be done here

pulsar swallowBOT Jun 17, 2025, 6:35 AM

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midnight stream Jun 17, 2025, 7:31 AM

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What concretely do you not understand? Can you parse the mathematical statements?

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Each mathematical statement can be true or false. You are supposed to assess the truth of each statement.

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@finite nacelle

young obsidian Jun 17, 2025, 9:09 AM

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finite nacelle I dont understand what needs to be done here

the downwards is "for all" and the backwards e is "there exists"

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this type of statement implies that "for all" is necessary for "there exists"

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ok i'll use an example of cats

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"for all cats, there exists an orange cat such that a condition is true"

fiery kernel Jun 17, 2025, 1:05 PM

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And for a statement to be true, it needs to be true for all cases. If the statement is false then all you have to do to show this is find a counter example

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I’m unfamiliar with the asterisk notation next to the mathbb R, although if that is taken to be the set of real numbers, then, for example, statement ii is false. Can you see why?

#How do I solve this?