Fallacy of Division

When you assume that a part of something necessarily shares a property of the whole and arrive at conclusions that are based on this false assumption.

Example

Good teachers are so hard to find. Mrs. Stevens is a good teach so we might have difficulty locating her on parent-teacher night.

Famous Examples

McDonald's french fries found to contain Silly Putty ingredient and petroleum chemical.
According to Vani Hari, more commonly known as the "Food Babe" who helped bring Subway's bread ingredients into the spotlight in 2014 for their use of a substance that's also used in yoga mats, dimethylpolysiloxane should be avoided.
Readers of my blog know that the next time you lick vanilla ice cream from a cone, there's a chance you'll be swirling secretions from a beaver's anal glands around in your mouth. This one rates really high on my upchuck meter. Called castoreum, this secretion is used as a "natural flavor" not only in vanilla ice cream but also in strawberry oatmeal and raspberry-flavored products.

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