Prove the Following Statement: There Is No Smallest Positive Rational

question 7

Essay

Prove the following statement: There is no smallest positive rational number.

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Definitions:

Volley Principle

A theory explaining how auditory nerve fibers respond to sounds of different frequencies by firing together in volleys to convey the pitch of sound.

Frequency Theory

A theory in the field of psychophysics that suggests the perception of pitch is related to the rate at which auditory nerve fibers fire.

Basilar Membrane

An important structure in the cochlea of the inner ear, it plays a critical role in the sensory process of hearing by transforming sound vibrations into neural signals.

High-Frequency Sounds

Sounds that have a high pitch, typically above 2,000 Hz, often beyond the range of human hearing.