-
appropriate formal theory F is
unprovable in F. Because, when
interpreted as a
statement about arithmetic, this
unprovability is
exactly what the sentence...
- 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)...
- Dylan's song "Girl from the
North Country",
though this is
disputed and
unprovable. Dylan's
first serious relationship was with
artist Suze Rotolo, a daughter...
- In
mathematical logic,
independence is the
unprovability of a
sentence from
other sentences. A
sentence σ is
independent of a
given first-order theory...
-
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...
-
universe whose limits are
always inconsistent,
always encountering the
unprovable. It's like a koan, a Zen mind breaker. It's like the
Cretan Epimenides...
-
incompleteness theorem and
Gerhard Gentzen's 1943
direct proof of the
unprovability of ε0-induction in
Peano arithmetic. The Paris–Harrington
theorem gave...
-
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...
- subject's
dream experience itself. So,
dreaming by non-humans is
currently unprovable, as is
dreaming by
human fetuses and pre-verbal infants.
Preserved writings...
