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the claim

The interval from 0 to 2 contains more real numbers than the interval from 0 to 1.

the verdict
REFUTED
the evidence says no
Recorded sources
0 sources for · 2 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that the interval from 0 to 2 contains more real numbers than the interval from 0 to 1?

No. Two sources directly address the comparison: a mathematics reference states that any open interval is equinumerous with the whole set of real numbers, and a StackExchange answer gives explicit bijections showing [0,1] and (0,2) have the same number of elements. Both refute the claim that 0 to 2 contains more real numbers than 0 to 1.

Verdict: REFUTED · 0 sources for, 2 against · Last checked

The private library was unavailable for some searches in this check. Missing library results are not evidence against the claim.

Evidence against · 2
Does the interval $[0,1]$ contains more real numbers than ...
Get citation
Does the interval $[0,1]$ contains more real numbers than.... (n.d.). math.stackexchange.com. https://math.stackexchange.com/questions/2340771/does-the-interval-0-1-contains-more-real-numbers-than-0-2

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More against · 1
Cardinality of the continuum - Wikipedia
Get citation
Cardinality of the continuum - Wikipedia. (n.d.). en.wikipedia.org. https://en.wikipedia.org/wiki/Cardinality_of_the_continuum

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