安裝中文字典英文字典辭典工具!
安裝中文字典英文字典辭典工具!
|
- 逻辑学蕴涵命题中的「→」和数学中的「⇒」有什么区别和共同点？
剩下的不想贴图了，自己去找 GTM 看。 那么有没有除了集合论和数理逻辑（如 GTM022）之外依旧频繁出现 \forall \exists 的教材呢？ 按照某人的说法，分析教材里面很喜欢的 \varepsilon-\delta 应该是一个很好的例子。 但是 比如说 025 Real and Abstract Analysis,
- Difference between implies and turnstile symbols (→ and ⊢)
So this would imply to me that → and ⊢ are equivalent, but it's idiomatic to use ⊢ for metamathematics, and → otherwise Or, more concretely: (A → B) → (C → D) is the same as (A → B) ⊢ (C → D), but the second option is considered more idiomatic readable as we differentiate the smaller connections from the larger ones
- 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
- 映射里带竖线的箭头是什么意思？ - 知乎
普通箭头→常用于表示函数定义（如f: X→Y） 带竖线箭头↦则用于表示具体的对应关系 例如： f: ℝ→ℝ 表示f是从实数到实数的函数 x↦x² 表示这个函数的具体对应法则
- notation - In Logic is ⇒, →, and ⊃ basically the same symbol . . .
I need to create a few truth tables and I got confused by the logic symbols as some of the questions use either one or the other which is really confusing especially if they all mean the same thing
- discrete mathematics - Proving (p → r) ∨ (q → r) ≡ (p ∧ q) → r . . .
For the ( (p ∧ q) → r) → ( (p → r) ∨ (q → r)) part: This one was the main point of confusion (and what my question is all about) Proving a implication with a disjunction as the consequent was something I was unsure how to do (and what I've seen many other people have asked too online unsure about)
- logic - Natural Deduction Proof: A ↔ B |- (C → A) → (C → B . . .
At this point we can proceed with conditional introduction (→I) used twice to derive the desired goal Since there was some concern about the existence of the conditional introduction rule, see section 15 3 in the forallx text linked to below for a discussion of the conditional and the associated introduction and elimination rules
- How to prove that $ [ (p→q)∧ (q→r)]→ (p→r)$ is a tautology without . . .
For some basic information about writing mathematics at this site see, e g , basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to
|
|
|