query: Is it possible to convert $\forall$ quantifiers to $\exists$ quantifiers without negation?
positive_passages.docid: 25187
positive_passages.text: Why $∀x(P(x)→Q)$ is equivalent to $∃xP(x)→Q$
negative_passages.docid: 103483
negative_passages.text: How can this English sentence be translated into a logical expression? ( Translating " unless")
negative_passages.docid: 132692
negative_passages.text: Nonempty set mapped to $\emptyset$ and vice-versa
negative_passages.docid: 67683
negative_passages.text: Building logical criteria (with AND , OR, etc)
negative_passages.docid: 154230
negative_passages.text: In $\mathsf{ZF}$, for each set $A$ exists an ordinal $\alpha$ such that no surjection $A\to \alpha$ exists
negative_passages.docid: 93327
negative_passages.text: Negation of if and only if?
negative_passages.docid: 5701
negative_passages.text: Quantifier difference notation
negative_passages.docid: 146560
negative_passages.text: Is there any uncountably infinite set that does not generate the reals?
negative_passages.docid: 16065
negative_passages.text: Best practice for typesetting quantifiers?
negative_passages.docid: 82739
negative_passages.text: Why is $\alpha \rightarrow \forall x(\alpha)$ not generally correct in first-order logic?
negative_passages.docid: 93544
negative_passages.text: Nested Quantifiers true or false
negative_passages.docid: 28452
negative_passages.text: Statement that is provable in $ZFC+CH$ yet unprovable in $ZFC+\lnot CH$
negative_passages.docid: 130998
negative_passages.text: Is $\exists x \in A ~:~ P(x)$ the same as $\exists x ~:~ x \in A \implies P(x)$
negative_passages.docid: 5293
negative_passages.text: Show that the logic $ \ \forall x \exists y \ P(x,y) \ $ is not logically equivalent to $ \ \exists x \forall y \ P(x,y) \ $
negative_passages.docid: 132532
negative_passages.text: Things around $(\forall x)(\Psi \Rightarrow \Phi) \Leftrightarrow ((\exists z)\Psi) \Rightarrow \Phi)$
negative_passages.docid: 99480
negative_passages.text: Why is predicate "all" as in all(SET) true if the SET is empty?
negative_passages.docid: 78009
negative_passages.text: Why can't we use implication for the existential quantifier?