New posts in Quantifiers

Negating "$\forall n\in \Bbb N$ and $\forall\varepsilon>0$, $\exists A\in\mathcal A$ such that $n<|a|<n+\varepsilon$ for infinitely many $a\in A$."

Why is $\exists y \in B, \ \forall x \in A, \ P(x,y) $ stronger than $\forall x \in A,\ \exists y \in B, \ P(x,y)$

Quantifiers in first-order logic

Why is the negation of the statement $\exists x P(x)$ given by $\forall x (\neg P(x))$ and not $\not \exists x P(x)$?

In proofs, are "for each" and "for any" synonyms?

Writing predicates - is the quantifier necessary?

When to use which quantifier with predicate logic?

What will be the negation of this statement:

uniformity in quantifier elimination

Quantifier for an implication