Simplification (Simp) is a very simple argument form that allows the extraction of a conjunct from a conjunction.
a ^ b
a
Given a conjunction, a ^ b
, we know that both a
and b
are true. Therefore, we can safely conclude a
is true.
Let us whip up an example:
“You have milk (M) and cheese (C). Thus, you have milk (M).”
- M ^ C
- M
Do not let the simplicity of this argument form dishearten you. It is commonly used as an intermediary conclusion (sub-conclusion). You might be thinking, “but is it not obvious?” Yes, it is, that is partly why formal logic is so beautiful, because we need these simple and straight-forward methods to help us clarify, dissect, and breakdown more complex truths.
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