Logical Paradox

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Across
  1. 1. The system of principles of reasoning, especially in mathematics and philosophy.
  2. 3. A paradox about a person who shaves all who do not shave themselves.
  3. 5. A paradoxical statement that claims 'this sentence is false.'
  4. 7. Some paradoxes challenge this type of making in ethics and AI.
  5. 10. The quality or state of being in accordance with fact or reality.
Down
  1. 2. Mathematician who proved that no logical system can be both complete and consistent.
  2. 4. A self-___ statement can lead to logical
  3. 6. A concept that appears in paradoxes where reasoning leads to an endless loop.
  4. 8. The system of principles of reasoning, especially in mathematics and philosophy.
  5. 9. A statement that contradicts itself or leads to a logical inconsistency.