- In
logic and mathematics,
contraposition, or transposition,
refers to the
inference of
going from a
conditional statement into its
logically equivalent...
-
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...
- argument:
affirming the
consequent and
denying the antecedent. See also
contraposition and
proof by contrapositive. The form of a
modus tollens argument is...
- inference.[citation needed]
Modus ponens Conditional proof classical contraposition classical reductio ad
absurdum Unlike the
semantic definition, this...
- as
logic and mathematics.
Appeal to
ridicule Argument from
fallacy Contraposition List of
Latin phrases Mathematical proof Prasangika Slippery slope Strawman...
- is
often used
instead of "proof by
mathematical induction".
Proof by
contraposition infers the
statement "if p then q" by
establishing the
logically equivalent...
-
smaller series, Σ a n {\displaystyle \Sigma a_{n}} must converge. By
contraposition, if the red
series Σ a n {\displaystyle \Sigma a_{n}} is
proven to diverge...
- a
categorical statement. Note that this
contraposition in the
traditional logic is not same to
contraposition (also
called transposition) in the modern...
-
inference in
propositional logic include modus ponens,
modus tollens, and
contraposition. First-order
predicate logic uses
rules of
inference to deal with logical...
- its codomain; that is, x1 ≠ x2
implies f(x1) ≠ f(x2) (equivalently by
contraposition, f(x1) = f(x2)
implies x1 = x2). In
other words,
every element of the...
