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I am having a discussion wetherwhether 'some' can also imply 'all'. The definition for some, 'an unspecified number or amount of people or things' seems to leave room for this interpretation.

Discussion follows on the following statements:

1. All newspaper readers are reasonable people.

2. Some newspaper readers are criminal.

The question is whether or not the statementwe can validly derive this conclusion:

Not all reasonable people are criminal

Is valid...

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edited Apr 16, 2019 at 19:09

6thsense

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In predicate logic, does existential qualificationquantification (∃) include universal quantification (∀), i.e. can 'some' imply 'all'?

I am having a discussion wether 'some' can also imply 'all'. The definition for some, 'an unspecified number or amount of people or things' seems to leave room for this interpretation.

Discussion follows on the following statements:

1. All newspaper readers are reasonable people.

2. Some newspaper readers are criminal.

The question is whether or not the statement:

Not all reasonable people are criminal

Is valid or not...

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edited Apr 16, 2019 at 19:03

6thsense

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asked Apr 16, 2019 at 18:59

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In predicate logic, does existential qualificationquantification (∃) include universal quantification (∀), i.e. can 'some' imply 'all'?

In predicate logic, does existential qualification (∃) include universal quantification (∀), i.e. can 'some' imply 'all'?

In predicate logic, does existential quantification (∃) include universal quantification (∀), i.e. can 'some' imply 'all'?