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- 逻辑学蕴涵命题中的「→」和数学中的「⇒」有什么区别和共同点？ - 知乎
逻辑学蕴涵命题中的「→」和数学中的「⇒」有什么区别和共同点？ 本人高中生，并且在自学逻辑中 显示全部 关注者 75
- Natural deduction proof: {A → B, B → (C D), ¬C v ¬D} ⊢ ¬A
Now use ∨ ∨ -Elim Elim on ¬C ∨ ¬D ¬ C ∨ ¬ D Find a contradiction in each case to infer a contradiction in the outermost level inside the A A assumption
- logic - Showing $ ( (A→B)→A)→A$ and $A,B ⊢ ¬ (A→¬B)$ using Deduction . . .
@tomtronbone - in term of natural deduction rule, you can derive B → A B → A from A A by → → -introduction alone, because you can discharge an assumption (B B) also when it is not present
- Mathematical Notation - Arrow Sign - Mathematics Stack Exchange
What does the $\\Rightarrow$ arrow mean when showing working out in maths? How do we use it appropriately?
- discrete mathematics - Show that (p ∧ q) → (p ∨ q) is a tautology . . .
I am having a little trouble understanding proofs without truth tables particularly when it comes to → Here is a problem I am confused with: Show that (p ∧ q) → (p ∨ q) is a tautology The firs
- discrete mathematics - Prove or disprove (p→q)→r and p→ (q→r) are . . .
I was able to show using a truth table that the two statements (p→q)→r and p→(q→r) are NOT equivalent, I need to now verify using equivalence laws, and I'm stuck Any guidance would be very appreci
- Prove this proposition is a tautology: [(p ∨ q) ∧ (p → r) ∧ (q → r)] → . . .
Prove this proposition is a tautology: [ (p ∨ q) ∧ (p → r) ∧ (q → r)] → r Did I make an error? Ask Question Asked 5 years, 4 months ago Modified 5 years, 4 months ago
- Equivalance proof of ((p → q) ∧ ¬q) → ¬p and ((p ∨ q) ∧ ¬p) → q
This is useful because we have far more equivalence principles involving the basic Boolean operators ∧ ∧, ∨ ∨, and ¬ ¬ than we have dealing with implications In fact, depending on what equivalence principles you have, sometimes you simply cannot show the equivalence while only relying on equivalence principles involving the → → Indeed, notice how you keep having → q → q at
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