The figure ‘0' designates the number zero, anterior to the
distinction odd/even, and also to the determination of primes (zeroth
prime = 1).
Zero is the only natural number that is indivisible by
one. The division of any number by zero produces an infinity
(multiplication of any number by zero = 0), in this respect zero treats
itself as any other number.
Zero digitally cumulates to zero.
Numeric Keypad direction: anomalous.
As an arithmetical function zero is strongly affined to
place value - or ‘positional' - systems in which it typically operates
as the designator of empty magnitudes. The modern decimal and binary
systems are the most familiar examples of such modular numeracies. (The
widespread assumption that such a zero-function is indispensable to any
possible place-value numeracy is, however, a fallacious one).
On the number line zero marks the transition from negative
to positive numbers. In modern binary code zero is instantiated by
electronic ‘off' (see One). In set theory zero corresponds to the null
(or empty) set. In coordinate geometry zero marks the ‘origin' or
intersection point of all dimensional axes, and is marked uniquely
across all dimensions. In game theory a zero-sum game is one in which
all gains and losses are mere redistributions (‘I win, you lose' or
inversely). In Boolean algebra zero symbolizes logical negation.
Absolute zero (or zero-degrees Kelvin) marks the cryonic limit of
physically attainable temperature. In schizoanalysis ‘zero-intensity'
designates the planomenon, plane of consistency, or body without organs
(immanent to all intensities).
With no
other number does arithmetical function cross so imperceptibly into
religious and philosophical abstraction. There is a mathematico-cosmic
continuum connecting the numeral zero to concepts of nullity, nihility,
nothingness, absence, emptiness, void (Hindu ‘Sunya'), vacuum, and
neutrality.
Zero also has an initiatory sense, as indicated by the
‘year zero' of new beginnings, or cycles (as in the case of the Y2K
00-date, and in that of the zero-strings marking accumulations in the
Hindu ‘Yugas'). A similar function is that of ‘time-zero,' or
‘zero-hour' (synchronizing a distributed operation, particular one of a
military nature).