continuum hypothesis
nounDefinitions
The hypothesis which states that any infinite subset of ℝ must have the cardinality of…
The hypothesis which states that any infinite subset of ℝ must have the cardinality of either the set of natural numbers or of ℝ itself.
- In the end, it turned out that Cantor was unable to prove his continuum hypothesis precisely because it is unprovable.
The assumption, for the purposes of mathematical modelling, that the material being…
The assumption, for the purposes of mathematical modelling, that the material being studied is a continuous mass rather than being composed of discrete particles.
- Under the continuum hypothesis, the material being studied, whether it be solid liquid or gas, is assumed to be continuous.
- Because matter is composed of molecules, the continuum hypothesis implies that a very small volume will contain a large number of molecules.
The neighborhood
Vish — recursive loop
No curated loop yet for continuum hypothesis. Loops are being traced one word at a time while the ingestion pipeline matures.
sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA