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Classical propositional logic
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Mathematics
Area of mathematics
Foundations of mathematics
Mathematical logic
Propositional logic
2026-10-03
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Classical
propositional logic
interprets
propositions
as
true or false and validates
principles
such
as
the
law of excluded middle
and
double-negation elimination
.
Table of contents
Law of excluded middle
Classical propositional logic
Double-negation elimination
Classical propositional logic
Law of excluded middle
(
A
∨
¬
A
)
0
1
0
Classical propositional logic
The
law
of excluded middle asserts that every
proposition
A
satisfies
A
∨
¬
A
.
Double-negation elimination
(
¬¬
A
→
A
)
0
0
0
Classical propositional logic
Double-negation
elimination is the
inference
from
¬¬
A
to
A
.
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Propositional logic
Mathematical logic
Foundations of mathematics
Area of mathematics
Mathematics
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