Quantifier Shift - Examples


1. Every person has a woman that is their mother. Therefore, there is a woman that is the mother of every person.

xy(Px → (Wy & M(yx))) therefore yx(Wy → (Px & M(yx)))

It is fallacious to conclude that there is one woman who is the mother of all people.

However, if the major premise ("every person has a woman that is their mother") is assumed to be true, then it is valid to conclude that there is some woman who is any given person's mother.

2. Everybody has something to believe in. Therefore, there is something that everybody believes in.

xy Bxy therefore yx Bxy

It is fallacious to conclude that there is some particular concept to which everyone subscribes.

It is valid to conclude that each person believes a given concept. But it is entirely possible that each person believes in a unique concept.

Read more about this topic:  Quantifier Shift

Other articles related to "example, examples":

Free Good
... For example, a shop might give away its stock in its promotion, but producing these goods would still have required the use of scarce resources ... Examples include ideas and works that are reproducible at zero cost, or almost zero cost ... For example, if someone invents a new device, many people could copy this invention, with no danger of this "resource" running out ...
Proverbs in Advertising
... Tatira has given a number of examples of proverbs used in advertising in Zimbabwe ... However, unlike the examples given above in English, all of which are anti-proverbs, Tatira's examples are standard proverbs ... meant to make a potential customer smile, in one of the Zimbabwean examples "both the content of the proverb and the fact that it is phrased as a ...
English Orthography - Spelling Irregularities - "Ough" Words
... though /oʊ/ as in toe (other examples dough) tough /ʌf/ as in cuff (other examples rough, enough) cough /ɒf/ as in off (other examples Gough (name, some ...

Famous quotes containing the word examples:

    In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.
    Michel de Montaigne (1533–1592)

    Histories are more full of examples of the fidelity of dogs than of friends.
    Alexander Pope (1688–1744)

    No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.
    André Breton (1896–1966)