Existential Quantifiers (few, some, most, etc.)

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13 Terms

1
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Many is a synonym of...

Some

2
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Majority is a synonym of...

Most

3
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Usually is a synonym of...

Most

4
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A number of is a synonym of...

Some

5
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Minority is a synonym of...

Few

6
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Typically is a synonym of...

Most

7
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Several is a synonym of...

Some

8
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Range of at least 1% to 100%

Implies few, most, all

Does not imply none

Some

9
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Range 51% to 100%

Implies all

Does not imply some or none

Most

10
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Range of at least 1% to 50%

Implies some to an extent

Does not imply most, all, or none

Few

11
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Example: 1% to 100% of butterflies are pretty.

"SOME butterflies are pretty."

B <--s--> P (bi-conditional)

"Some butterflies are pretty"
"Some pretty things are butterflies"

12
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Example: 1% to 50% of roads are concrete.

"FEW roads are concrete."

The statement means two things:
1) Some roads are concrete R <--s--> C
2) Most roads are NOT concrete R -m--> /C

In using "few", remember:

few are = most are NOT
few are NOT = most are

13
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Example: 51% to 100% of leaves are green.

"MOST leaves are green."

L -m--> G

The "-m-->" goes in one direction, so variables CANNOT be flipped