Last Updated:2025/11/27
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When teaching natural deduction, I emphasize how the deduction theorem allows us to discharge temporary assumptions and turn them into antecedents of the conclusion.
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When teaching natural deduction, I emphasize how the deduction theorem allows us to discharge temporary assumptions and turn them into antecedents of the conclusion.
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Related words
deduction theorem
Noun
(logic)
A
procedure
for
"discharging"
assumptions
from
an
inference,
causing
them
to
become
antecedents
of
the
conclusion;
or
vice
versa.
Symbolically,
the
conversion
of
an
inference
of
the
form
P,A⊢C
to
an
inference
of
the
form
P⊢A→C
or
vice
versa,
where
⊢
is
the
turnstile
symbol.
The
validity
of
the
procedure
is
a
metatheorem
of
the
given
logical
theory.
Japanese Meaning
論理学における定理の一種で、ある仮定を論証から解除し、その仮定を結論の前提条件(含意)として組み込む手続き、あるいはその逆の変換を示すもの。
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