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What is a subsumption?

What is a subsumption? Here are some definitions.

Noun
  1. The act of subsuming, or something subsumed.
  2. (logic) The premise of a syllogism that contains the minor term.
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Examples
There are many reasons to snipe at the Stones: the money grubbing, the subsumption of art beneath commerce, their willingness to live off past glories by recycling their greatest hits into package after package.
However, these initiatives always suffered from the same issue: subsumption to the rhythm imposed by the interunion and a desire of numbers.
That subsumption is regarded as an affront, a declaration of war even, by those who have elevated the game to be the sole provider of identity and purpose in their lives.
There would be no difficulty with this subsumption if the objects and the conceptions of the understanding were the same in kind.
It leads Kant to describe schematism as a process of subsumption, and to speak of the transcendental schema as a third thing.
The subsumption of the condition of another possible judgement under the condition of the rule is the minor.

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