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# Consciousness exists—the Law of Consciousness. But consciousness implies something independent of consciousness. What one perceives, one does not invent—and furthermore, a thing exists whether one perceives it or not.
 
# Consciousness exists—the Law of Consciousness. But consciousness implies something independent of consciousness. What one perceives, one does not invent—and furthermore, a thing exists whether one perceives it or not.
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From these axioms, several [[theorem]]s necessarily follow, among them the Law of Non-Contradiction. Aristotle stated it thus: "the same attribute cannot at the same time belong and not belong to the same subject in the same respect." Objectivism states it more simply: ''contradictions do not exist.'' Therefore, if one encounters a contradiction, one should check the assumptions he has made, because at least one of them is false.
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From these axioms, several [[theorem]]s necessarily follow, among them the [[Law of Non-Contradiction]]. Aristotle stated it thus: "the same attribute cannot at the same time belong and not belong to the same subject in the same respect." Objectivism states it more simply: ''contradictions do not exist.'' Therefore, if one encounters a contradiction, one should check the assumptions he has made, because at least one of them is false.
    
=== Epistemology ===
 
=== Epistemology ===
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