-
appropriate formal theory F is
unprovable in F. Because, when
interpreted as a
statement about arithmetic, this
unprovability is
exactly what the sentence...
- In
mathematical logic,
independence is the
unprovability of some
specific sentence from some
specific set of
other sentences. The
sentences in this set...
-
incompleteness theorem and
Gerhard Gentzen's 1943
direct proof of the
unprovability of ε0-induction in
Peano arithmetic. The Paris–Harrington
theorem gave...
- mathematics,
there is a true-but-
unprovable sentence of the form Σ(10⇈10) = n, and
there are
infinitely many true-but-
unprovable sentences of the form Σ(10⇈10)...
-
operate but with the
advantage of the
source being unknown or at
least unprovable.
There is
ongoing debate as to
whether weaponised directed energy devices...
-
Robert was
accused by some
writers of
killing Richard, a
plausible but now
unprovable charge.
Conditions in
Normandy were unsettled, as
noble families despoiled...
- efficient.
Faced with an
unprovable statement, a
complete proof procedure may
sometimes succeed in
detecting and
signalling its
unprovability. In the
general case...
- Indo-European", but the
reconstruction proposed by
Lincoln "makes too [many]
unprovable ****umptions to
account for the
fundamental changes implied by the Scandinavian...
- The
question was
solved in 1980 by Alex Wilkie, who
showed that such
unprovable identities do exist.
Tarski considered the
following eleven axioms about...
-
necessary religious acceptance in such an
intangible and
empirically unprovable thing (now
commonly referred to as a "leap of faith"). However, Camus...
