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3 years ago

Translate the following sentences into our quantifier language...

Using the following abbreviations
Domain= I (set of integers)
E: (1) is even
O: (1) is odd
P: (1) is prime
L: (1)<(2)
I: (1)=(2)
M: (1)*(2)=(3)
a: 1
b: 2
c: 3
d: 4
translate the following sentences into our quantifier language
i.) There is an integer greater than every integer
ii.) If the product of two integers is even, then at least one of them is even
iii.) The product of two even integers is always a multiple of four
iv.) Every integer greater than one is evenly divisible by some prime
v) There is no greatest prime
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pats | 3 years ago
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i.) There is an integer greater than every integer
a L b L c L d
ii.) If the product of two integers is even, then at least one of them is even
If a M b I E, a E or b E
iii.) The product of two even integers is always a multiple of four
b M d I 3 M n

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rickg's Avatar
rickg | 3 years ago
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It appears you are taking some kind of Symbolic Logic class, as you have posted a number of these questions recently. IMHO, it violates the spirit of the community to ask homework questions without any context or indication of what, specifically, you are having trouble understanding.

It's especially troubling in this case that you use the phrase "our quantifier language" as if we have any idea what you're talking about. If you want help, restate the question in sufficiently non-specialized terms, or give us sufficient bakground information, that we can understand what you're talking about. And then ask very specific questions about how to proceed.

I don't think this is really the place to have someone do your entire homework set for you from scratch (even for M$4). Maybe others here have a different opinion.

On the other hand, I took some symbolic logic (quite a few years ago, admittedly), and was quite good at it. I'm happy to help if you can narrow your questions down in a meaningful way.

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philipy | 3 years ago Report

Ditto, if you explain the background and context properly, I could most likely easily answer any logic and predicate calculus questions.

Like @rickg I'm not up for doing people's assignments for them, but am willing to help explain things that people are having trouble understanding.

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