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is this statement valid or invalid "if an animal has feathers, than it is a bird. a crow has feathers, so it is a bird"

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Answer:

the statement is valid!

Step-by-step explanation:

first, let's consider the first statement "if an animal has feathers, then it is a bird"

well, let's think about this: are there any animals that have feathers that AREN'T birds? No!

so we know the first statement is true so it is valid

now, let's consider the second statement "a crow has feathers, so it is a bird"

is that true? well based on the first statement, if an animal has feathers it's a bird. so yes! the statement is valid

Answer: The statement is valid.

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Explanation:

This is valid by the law of detachment. This is also known as "modus ponens".

The basic format is that we have these two premises

  1. If P is true, then Q is true
  2. P is true

Those two premises work together to conclude that Q must be true. Think of it like a set of dominoes. The first domino that you knock over is statement P, which then leads to domino Q being knocked over afterward (ie statement Q must be true because P is true).

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