∀∃🧠

#logical quantifier #universal quantifier #existential quantifier #predicate logic #first-order logic #math logic #formal logic #for all #there exists

∀∃🌍👤

#predicate logic #quantifiers #universal quantifier #existential quantifier #first-order logic #variables

∀∃💡

#formal logic #predicate calculus #first-order logic #foundations #theorem proving #unification #automated reasoning

∀∃→

#pure mathematics #mathematical logic #formal systems #quantifiers #implication arrow #proof theory #first-order logic #foundations of mathematics

{…}∀∃⇔

#axiomatic set theory #ZFC #first-order logic #quantifiers #foundational mathematics #mathematical logic

∀∃xy📖

#first-order logic #fol #predicate logic #quantification #quantifiers #variables #mathematical logic #formal systems #theory

🏛️∞↘️ℵ₀↗️ℵ₊

#löwenheim-skolem #model theory #cardinality #infinite models #downward löwenheim-skolem #upward löwenheim-skolem #aleph null #first-order logic

🏛️∞⇔|א|

#löwenheim-skolem #model theory #cardinality #infinite models #aleph numbers #first-order logic #structure size #ecnelaviuqe

🏛️₁🤏ℵ₀&🐘ℵλ

#löwenheim-skolem #model theory #countable models #uncountable models #downward löwenheim-skolem #upward löwenheim-skolem #cardinality #first-order logic

∀∃₁🚫📏∞

#löwenheim-skolem #first-order logic #model theory #expressiveness limitation #cardinality #infinite models #non-categoricity

🏛️∞✅{ℵ₀ℵ₁...}

#löwenheim-skolem #model theory #model existence #cardinality spectrum #infinite models #aleph numbers #set theory #first-order logic

🅿️(𝑥)→{✅❌}

#predicate logic #first-order logic #property #boolean function #logic symbol

1️⃣∀🧍

#first-order logic #fol #quantification over individuals #logic levels #variable types #higher-order logic contrast #predicate calculus

∀𝑥/∃𝑥🤔

#quantified statement #variable binding #scope of quantifier #first-order logic #predicate calculus #logic variable

∀∃¹

#first-order logic #predicate calculus #formal system #quantifiers #logic