Transfinite vs Ultimate - What's the difference?
transfinite | ultimate |
Beyond finite.
(mathematics) Relating to transfinite numbers.
A transfinite number.
* Oliver Sacks, Awakenings
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Final; last in a series.
* {{quote-book
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(of a syllable) Last in a word or other utterance.
Being the greatest possible; maximum; most extreme.
*
Being the most distant or extreme; farthest.
That will happen at some time; eventual.
Last in a train of progression or consequences; tended toward by all that precedes; arrived at, as the last result; final.
* Coleridge
Incapable of further analysis; incapable of further division or separation; constituent; elemental.
The most basic or fundamental of a set of things
The final or most distant point; the conclusion
The greatest extremity; the maximum
(uncountable) The sport of ultimate frisbee.
As adjectives the difference between transfinite and ultimate
is that transfinite is beyond finite while ultimate is final; last in a series.As nouns the difference between transfinite and ultimate
is that transfinite is a transfinite number while ultimate is the most basic or fundamental of a set of things.transfinite
English
Adjective
(-)Noun
(en noun)- An interesting and perhaps essential formal model of this quality is to be found in Cantor's concepts of infinite sets and transfinite cardinals. The laws of ordinary, inductive mathematics do not apply to these, for the 'least part' of such transfinites are equal to the whole, and convey their infinite (i.e. world-like) quality.
References
ultimate
English
Adjective
(wikipedia ultimate) (-)- the ultimate pleasure
- the ultimate disappointment
- Hepaticology, outside the temperate parts of the Northern Hemisphere, still lies deep in the shadow cast by that ultimate "closet taxonomist," Franz Stephani—a ghost whose shadow falls over us all.
- those ultimate truths and those universal laws of thought which we cannot rationally contradict
- an ultimate constituent of matter