- In
mathematical logic,
independence is the
unprovability of a
sentence from
other sentences. A
sentence σ is
independent of a
given first-order theory...
-
always be
statements about natural numbers that are true, but that are
unprovable within the system. The
second incompleteness theorem, an
extension of...
-
variation of the
theorem unprovable in this system. Much later, the Robertson–Seymour
theorem would give
another theorem unprovable by Π1 1-CA0.
Ordinal analysis...
-
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...
-
eventually terminates at 0.
Laurence Kirby and Jeff
Paris showed that it is
unprovable in
Peano arithmetic (but it can be
proven in
stronger systems, such as...
- 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...
-
others of a crime,
which could be
libelous if the
allegations are
false or
unprovable. An
account is
required to view
content on FetLife,
although membership...
- 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...
-
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...
