I'm not sure of the type of fallacy used here
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4The use of ‘discriminate’ (or discrimination) in a racial context most frequently involves extrapolating from personal negative experience(s) with an individual(s) comprising a dissimilar race, to form correspondingly negative opinions about that race as a genre. Even if the formative experiences are valid they would need to be overwhelmingly (& IMOP, impossibly) repetitive, and without alternative explanation, to warrant racial discrimination. In this context this strikes me as a fallacy of extrapolation.
A couple of things wrong here. First, I do agree that the word "discriminate" is being used differently, so this would be Equivocation . In the first example you provide, "discriminate" is more of a preference, whereas when related to people we are talking about an action or behavior that affects another person or group's well-being. Second, if a behavior is acceptable under one situation, it does not mean it is acceptable under all situations. Ignoring the equivocation, if it is okay to "discriminate" against Coke because one prefers Pepsi, that does not make it okay to discriminate against people of color. This is a common form of simple thinking where nuance is ignored and fallacious reasoning ensues as a result.
That's like saying:
- we allow the killing of mosquitoes, so why not allow the killing of neighbors.
- we allow driving cars on freeways , so why not allow driving golf carts on freeways .
- we allow our spouse and children to live in our house, so why not allow our work colleagues and their children to live in our house.
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