的意思 Godel

1. Kurt Godel was a famous mathematician known for his incompleteness theorems.
庫爾特·哥德爾是一位著名的數學家，以他的不完備定理聞名。

2. Godel's work revolutionized the field of mathematical logic.
哥德爾的工作徹底改變了數學邏輯領域。

3. Many mathematicians study Godel's theorems to gain a deeper understanding of logic and computation.
許多數學家研究哥德爾的定理，以獲得對邏輯和計算的更深入理解。

4. Godel's Incompleteness Theorem states that there are true statements in mathematics that cannot be proven.
哥德爾的不完備定理表明，在數學中有些真實的陳述是無法被證明的。

5. The concept of Godel numbering allows for the representation of mathematical statements as numbers.
哥德爾編碼的概念允許數學陳述被表示為數字。

6. Godel's work had a profound impact on the philosophy of mathematics and the foundations of logic.
哥德爾的工作對數學哲學和邏輯基礎產生了深遠影響。