The paper argues that blackbody radiation thermodynamics assigns N×N a greater cardinality than N and that the rationals are therefore uncountable, favoring the axiom of choice for spacetime foundations.
Tolman,The principals of Statistical Mechanics, Dover Publications, Inc., New York, 1979
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Quantum entropy and cardinality of the rational numbers
The paper argues that blackbody radiation thermodynamics assigns N×N a greater cardinality than N and that the rationals are therefore uncountable, favoring the axiom of choice for spacetime foundations.