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== See also == * {{annotated link|Brouwer–Hilbert controversy}}: an account on the formalist-intuitionist divide around the Law of the excluded middle * ''{{annotated link|Consequentia mirabilis}}'' * [[Constructive set theory]] * {{annotated link|Diaconescu's theorem}} * {{annotated link|Dichotomy}} * {{annotated link|Homogeneity (linguistics)}}: cases where LEM appears to fail in natural language * {{annotated link|Law of excluded fourth}} * Law of excluded middle is untrue in {{annotated link|many-valued logic}} such as {{annotated link|ternary logic}} and {{annotated link|fuzzy logic}} * {{annotated link|Laws of thought}} * {{annotated link|Limited principle of omniscience}} * {{annotated link|Logical graph}}: a graphical syntax for propositional logic * {{annotated link|Logical determinism}}: the application excluded middle to {{annotated link|modal logic|modal}} propositions * [[Constructivism (philosophy of mathematics)|Mathematical constructivism]] * Non-affirming negation in the {{annotated link|Prasangika}} school of Buddhism, another system in which the law of excluded middle is untrue * [[Proof by contradiction]] * {{annotated link|Peirce's law}}: another way of turning intuition classical
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