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・ Theory of Legal Norms
・ Theory of Lie groups
・ Theory of Literature
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・ Theory of mind
・ Theory of Motivated Information Management
・ Theory of multiple intelligences
・ Theory of natural limits
・ Theory of obligationes
・ Theory of operation
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・ Theory of Pashtun descent from Israelites
・ Theory of Phoenician discovery of the Americas
・ Theory of planned behavior
・ Theory of Probability and Its Applications
Theory of pure equality
・ Theory of reasoned action
・ Theory of relativity
・ Theory of religious economy
・ Theory of Scheduling
・ Theory of solar cells
・ Theory of sonics
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Theory of pure equality : ウィキペディア英語版
Theory of pure equality
In mathematical logic the theory of pure equality is a first-order theory. It has a signature consisting of only the equality relation symbol, and includes no non-logical axioms at all (Monk 1976:240–242). This theory is consistent, as any set with the usual equality relation provides an interpretation.
The theory of pure equality was proven to be decidable by Löwenheim in 1915. If an additional axiom is added saying either that there are exactly ''m'' objects, for a fixed natural number ''m'', or an axiom scheme is added stating there are infinitely many objects, the resulting theory is complete.
== References ==

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