Re: Inconsistent sets

In article <85ackiby8v.fsf@xxxxxxxxxxxxxx>, David Kastrup <dak@xxxxxxx>
wrote:

> Virgil <ITSnetNOTcom#virgil@xxxxxxxxxxx> writes:
>
> > For any integer number, including WM's example above, adding or
> > subtracting 1 will change its parity, even if that parity is unknown.
>
> Evenness is not the same as parity.
>
> 1 and 2 both have odd parity (namely an odd number of 1 bits in their
> binary presentation).

"Parity has a number of meanings. On of them is evenness versus oddness.
<quote>
parity1 PPronunciation Key(pr-t)
n. pl. parities
1 Equality, as in amount, status, or value.
2 Functional equivalence, as in the weaponry or military strength
of adversaries: A problem that has troubled the U.S.-Soviet relationship
from the beginning has been the issue of parity (Charles William Maynes).
3 The equivalent in value of a sum of money expressed in terms of a
different currency at a fixed official rate of exchange.
4 Equality of prices of goods or securities in two different
markets.
5 A level for farm-product prices maintained by governmental
support and intended to give farmers the same purchasing power they had
during a chosen base period.
6 MATHEMATICS. THE EVEN OR ODD QUALITY OF AN INTEGER. IF TWO
INTEGERS ARE BOTH ODD OR BOTH EVEN, THEY ARE SAID TO HAVE THE SAME
PARITY; IF ONE IS ODD AND ONE EVEN, THEY HAVE DIFFERENT PARITY.
7 Abbr. P Physics.
a An intrinsic symmetry property of subatomic particles that is
characterized by the behavior of the wave function of such particles
under reflection through the origin of spatial coordinates.
b A quantum number, either +1 (even) or -1 (odd), that
mathematically describes this property.
8 COMPUTER SCIENCE.
A THE EVEN OR ODD QUALITY OF THE NUMBER OF 1'S OR 0'S IN A BINARY
CODE, OFTEN USED TO DETERMINE THE INTEGRITY OF DATA ESPECIALLY AFTER
TRANSMISSION.
b A parity bit.
.