Logic puzzles | Mathematics | Page 1

split hinge Sep 30, 2025, 4:43 AM

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i get quite confused when i try to solve questions like these (i also do not know what is happening in the solution here). can someone please help me understand how we go on with such questions?

quartz gateBOT Sep 30, 2025, 4:43 AM

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molten galleon Sep 30, 2025, 4:51 AM

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split hinge i get quite confused when i try to solve questions like these (i also do not kno...

!original

quartz gateBOT Sep 30, 2025, 4:51 AM

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split hinge i get quite confused when i try to solve questions like these (i also do not kno...

Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.

split hinge Sep 30, 2025, 4:53 AM

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well, this is the original question (and the only thing i have)

thick elbow Sep 30, 2025, 5:20 AM

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I'm going to rewrite this to be somewhat understandable

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$b \to c\
\neg(c \land g)\
\neg(\neg g \land \neg h)\
h \to \neg c$

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Now you wanna see from this whether or not you can determine anything about b, c, g and h on their own

split hinge Sep 30, 2025, 5:23 AM

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right, how do we do that?

halcyon shaleBOT Sep 30, 2025, 5:23 AM

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Xavier 🌺

thick elbow Sep 30, 2025, 5:24 AM

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The usual way is to make assumptions and see if they lead to contradictions

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Or see if both possibilities work

split hinge Sep 30, 2025, 5:26 AM

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i do not get it, i am sorry. like, for the first one, do we take both b and c to be true? if yes, how really do we proceed further?

thick elbow Sep 30, 2025, 5:27 AM

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So

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Assume b is true

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That gives you that c is true

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Then the second one tells you g must be false

split hinge Sep 30, 2025, 5:27 AM

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wait

split hinge Sep 30, 2025, 5:28 AM

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thick elbow Assume b is true

does this not mean that c can either be true or false? because implication

thick elbow Sep 30, 2025, 5:28 AM

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If b is true, then c is true

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If b is false, c can be either

thick elbow Sep 30, 2025, 5:29 AM

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thick elbow Then the second one tells you g must be false

Now the third one tells you h is true

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But if h is true, then c is false

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Which is a contradiction

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So b cannot be true

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So b must be false

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Similarly, you can assume the others and check

split hinge Sep 30, 2025, 5:32 AM

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i see

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thank you

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how do i close this?

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.close

quartz gateBOT Sep 30, 2025, 5:32 AM

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Solved

Post marked as solved by @split hinge.

Use .unsolved if this was a mistake.

thick elbow Sep 30, 2025, 5:33 AM

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I wasn't sure either lol

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But apparently that's how

split hinge Sep 30, 2025, 5:33 AM

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yeah, sorry

thick elbow Sep 30, 2025, 5:33 AM

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What for

split hinge Sep 30, 2025, 5:34 AM

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because it was the same as usual

#Logic puzzles