The heat radiation, from the Sun at 6000K to space at 3K, gives rise to the meteorological and biological activities on the Earth. Therefore, irreversible processes, expressed by the second law of thermodynamics, originate in the expansion of the universe, which keeps space at 3K. Thermodynamics as formulated by Clausius is primarily a theory, not of energy, but of matter, and “entropy” is a quantity of state expressing “transformational content” of a body. The entropy increase produced by the irreversible processes of heat transfer and diffusion is derived thermodynamically, and Boltzmann's principle deduced. Gibbs's paradox derived from the entropy of mixing, and light-quantum theory from the entropy of radiation, show that thermodynamics contained the germ of quantum theory. Non-equilibrium thermodynamics based on the local equilibrium assumption, and the theory of dissipative structure, explain behavior of matters and formation of structures we meet everyday. Finally, it is argued that the application of the concept of entropy to economic processes highlights the importance of the problems of resource and environment.
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