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Old 11-18-2007, 02:17 PM   A courswork question! (Propositionals Calculus!) Post #1
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Default A courswork question! (Propositionals Calculus!)

Anyone know an easy way to explain this question to me?

use laws or proposition to show that (a and notb) or b = a or b

Yes im leaving coursework to the last minute
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Old 11-18-2007, 02:20 PM   A courswork question! (Propositionals Calculus!) Post #2
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dyofcw
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Old 11-18-2007, 02:34 PM   A courswork question! (Propositionals Calculus!) Post #3
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I don't have any knowledge here. But let's try if I had to face this.

<pre class="ip-ubbcode-code-pre"> (a and not b) or b = a or b&lt;=&gt; (a and a) or b = a or b&lt;=&gt; a or b = a or bQ.E.D.</pre>
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Old 11-18-2007, 02:39 PM   A courswork question! (Propositionals Calculus!) Post #4
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Depends what the a and b are surely?

You have to show that b and not b are mutually exclusive I think
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Old 11-18-2007, 02:39 PM   A courswork question! (Propositionals Calculus!) Post #5
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it's literally years since I did this stuff. So I can't remember, but is the "or" operation associative, ie

(a and not b) or b
= (a or b) and (not b or b)
= (a or b) and TRUE
= a or b
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Old 11-18-2007, 02:58 PM   A courswork question! (Propositionals Calculus!) Post #6
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Let us beat about the bush no longer: The answer, off course, is 42.
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Old 11-19-2007, 12:10 AM   A courswork question! (Propositionals Calculus!) Post #7
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martinji's answer is right, except that it's "or" being distributive over "and", rather than associative, that's the key.
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