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- 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
- Why is the selection of logical connectives {¬,∨,∧,⇒,⇔}, in set theory?
Nearly every treatment of set theory, whether Paul Halmos' Naive Set Theory, Herbert Enderton's Elements of Set Theory, Patrick Suppes's Axiomatic Set Theory, etc , introduce a common set of logical connectives, namely "not" ¬, "inclusive or" ∨, "and" ∧, "implies ⇒, and "if and only if" ⇔ (as well as the existential and universal
- What is the difference between implication symbols:
There is no universally observed difference between the two symbols $\Rightarrow$ tends to be used more often in undergraduate instruction, where the logical symbols are used to explain and elucidate ordinary mathematical arguments -- for example, in real analysis
- Mathematical Notation - Arrow Sign - Mathematics Stack Exchange
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- Simplicify $((A ⇒ B) ⇒ (B ⇒ A)) ⇒( ¬(A∧B) ⇔ ¬(B∨A))$
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- In classical logic, why is - Mathematics Stack Exchange
As Henning Makholm states in his answer, the ⇒ operator is not equivalent to the usual definition of "implies" I will add another way of looking at it In classical logic a statement must resolve to true or false (the truth table)
- elementary set theory - How to prove (A ⊆ B) ∧ (B ⊆ C) ⇒ (A ⊆ C . . .
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- 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
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