transfinite
1
9.9
- adjective
- /trænsˈfaɪnɪt/
- Specialized
- "Borges' ultimate denial of this Aleph is a response to this inconceivable pornography, a retreat in the face of what Kristeva calls the 'transfinite truth' (23) of the Aleph."
Examples
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For instance, mathematicians do not need real-world experiences proving the existence of transfinites to make use of transfinite numbers in some demonstrations.
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You are probably tired of the subject, but could you explain how having a different ordinality than all other real numbers, if it does (have a transfinite "end"), when it itself is a member of the reals, doesn't show the question of it having a definable end to be problematic?
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You got still the Transfinite Paradox project due today.
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It is entirely possible that transfinite numbers will one day prove themselves directly relevant to physics, but until now it is not the case.
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We get into the whole issue of infinite transfinite numbers, but that's not where we're headed here.
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And this is the origin of the transfiner transfinite ordinal numbers.
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You can do things like Cantor's transfinite numbers, but they get very strange very quickly—and they don't work the way that we expect numbers to work. For example, you need to distinguish between cardinal numbers and ordinal numbers, and you don't get fractions.
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The concept of transfinite numbers allows mathematicians to explore sets that are larger than any finite number.
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In set theory, a transfinite quantity can be used to describe sizes of infinite sets, such as the set of all natural numbers.
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The discussion of transfinite sequences helps clarify how different infinities can coexist in mathematics.
Synonyms
184
4.2
Without limits or end
39
4.0
Very large and without any end
26
5.0
Having no limit in size or amount
5
6.3
Not limited in amount or size
1
9.9
Describing a process, number, or set that goes on forever, often in math
Surface Forms
Morphology
Etymology
Transfinite comes from trans- 'beyond' and finite 'has an end', so it literally means 'beyond what has an end'. That's why as an adjective it describes numbers or sizes that are larger than any finite number.