infinities
Meaning
of Infinity
Source: Webster's dictionarySynonyms
Examples
According to Rosenblum, "Rothko, like Friedrich and Turner, places us on the threshold of those shapeless infinities discussed by the aestheticians of the Sublime.
As in the case for sequences, the limit inferior and limit superior are always well-defined if we allow the values +∞ and −∞; in fact, if both agree then the limit exists and is equal to their common value (again possibly including the infinities).
A problem for Aristotelian realism is what account to give of higher infinities, which may not be realizable in the physical world.
For example, a bit-wise IEEE floating-point standard single precision (32-bit) NaN would be: s111 1111 1xxx xxxx xxxx xxxx xxxx xxxx where s is the sign (most often ignored in applications) and x is non-zero (the value zero encodes infinities).
For Kronecker, Cantor's hierarchy of infinities was inadmissible, since accepting the concept of actual infinity would open the door to paradoxes which would challenge the validity of mathematics as a whole.
But Plato has two infinities, the Great and the Small.