nghịch chứng

Phương pháp nghịch chứng thường được sử dụng trong toán học.

Definition

1. Noun:
   • Proof by contradiction: A logical and mathematical argument method where a statement is proven to be true by first assuming its opposite is true, and then demonstrating that this assumption leads to a contradiction or an absurdity, thereby proving the original statement.

Usage Examples

• Noun:
  • Phương pháp nghịch chứng thường được sử dụng trong toán học. (The method of proof by contradiction is often used in mathematics.)
  • Anh ấy đã dùng nghịch chứng để chứng minh định lý. (He used proof by contradiction to prove the theorem.)

Advanced Usage

• This term is considered somewhat archaic or highly formal in modern Vietnamese, primarily used in academic, philosophical, or classical logical contexts. The more common contemporary term for this concept is "phản chứng."

Variants and Related Words

• Phản chứng (n): The modern and more commonly used term for "proof by contradiction."
  • Chứng minh bằng phản chứng rất hiệu quả. (Proof by contradiction is very effective.)

Synonyms

• Reductio ad absurdum: The Latin term for the same logical method.
• Indirect proof: A general term for proofs that establish truth indirectly, often through contradiction.