- In
logic and mathematics,
contraposition refers to the
inference of
going from a
conditional statement into its
logically equivalent contrapositive, and...
- In
traditional logic,
contraposition is a form of
immediate inference in
which a
proposition is
inferred from
another and
where the
former has for its...
- argument:
affirming the
consequent and
denying the antecedent. See also
contraposition and
proof by contrapositive. The form of a
modus tollens argument is...
-
criticized in the phrase:
absence of
evidence is not
evidence of absence.
Contraposition is a
logically valid rule of
inference that
allows the
creation of a...
- a
categorical statement. Note that this
contraposition in the
traditional logic is not same to
contraposition (also
called transposition) in the modern...
- inference.[citation needed]
Modus ponens Conditional proof classical contraposition classical reductio ad
absurdum Unlike the
semantic definition, this...
- and vice versa. In mathematics,
proof by contrapositive, or
proof by
contraposition, is a rule of
inference used in proofs,
where one
infers a conditional...
- a rule of
inference is
applied to
categorical propositions through contraposition and obversion, a
series of
immediate inferences where the rule of obversion...
- is
often used
instead of "proof by
mathematical induction".
Proof by
contraposition infers the
statement "if p then q" by
establishing the
logically equivalent...
- the
smaller series, Σan{\displaystyle \Sigma a_{n}} must converge. By
contraposition, if the red
series Σan{\displaystyle \Sigma a_{n}} is
proven to diverge...