If you're ignoring @ModulusZK because you don't understand the technology, it's worth mentioning that pretty much everyone has invested without understanding the tech, nothing new in that. #BitLogic #FOL #FirstOrderLogic $CULT

The nature of A to B done in few tasks, few problems, direct line. To avoid a city of detours, traffic lights, verifications, approvals, etc. We are decentralized, it’s in our nature. @wearecultdao @ModulusZK #FirstOrderLogic

Not a layer on top or below Bitcoin, a layer next to Bitcoin. @ModulusZK takes care of the features Satoshi wished for but didn't have the tech to complete. Dr. Murdoch Gabbay’s approach through First Order Logic translated into Polynomials will provide the #privacy needed for both the Many and institutional addoption. This could be the beginning of a New Satoshi Era. Endless possibilities without additional load on the Bitcoin network ⬇️ #LayerX $MOD #FirstOrderLogic #Polynomials #Bitcoin

🐬ETA Weekly🦀 🍭86 Logical Models🦘 💓Update in Audit 🌺 🏐github.com/ETAAcademy/ETAAca…🚂 🎏The first-order logical theories presents a coherent and rich landscape that spans from questions of completeness and model classification to the precise characterization of mathematical structures. At the foundation lies the theory of completeness, where Gödel's completeness theorem bridges syntactic provability and semantic truth. This connection reveals deep interdependencies among quantifier elimination, substructure completeness, and model completeness—key notions that structure the behavior of logical theories.🍕 👣Countable model theory refines this picture by introducing the concept of types, transforming the problem of model isomorphism into one of type realization and omission. Within this framework, Vaught's conjecture captures a trichotomy in the number of countable models a theory may possess, while the existence of saturated and highly homogeneous (ultrahomogeneous) models deepens our understanding of model-theoretic classification.🪻 🥐Algebraically closed fields and real closed fields serve as classical examples where algebraic structures and logical theories seamlessly converge. Through quantifier elimination and model completeness, these theories not only exhibit structural elegance but also possess robust logical properties. Notably, Tarski’s proof of the decidability of real closed fields remains a landmark achievement in the history of mathematical logic.🌆 💽Theories of addition over rational and integer domains illustrate different levels of logical complexity. The theory of addition over the rationals exhibits strong minimality and complete axiomatizability, whereas the theory of addition over the integers requires extensions with modular congruences to achieve completeness. In contrast, the arithmetic of natural numbers reveals the fundamental limitations of formal systems, as demonstrated by Gödel’s incompleteness theorems. While simple order and additive theories of natural numbers may be complete, the inclusion of multiplication introduces undecidable and independent statements, such as the Paris–Harrington principle.🚟 🏷️Together, these developments form the theoretical backbone of modern model theory. They not only illuminate the internal complexity of mathematical structures but also delineate the expressive boundaries of logical systems. The impact of these insights extends well beyond pure logic, influencing foundational studies, computability theory, and the philosophy of mathematics.🪆 🚞github.com/ETAAcademy/ETAAca…🦄 🫡No new report, no update🛺 🗺️1 to 4 bugs / report different from existing 300 🏰 🦣Update in Audit🐣 🚀#ETAAcademy #Audit #Formalverification #logic #Firstorderlogic #quantifiers #Firstorderlogic #properties #induction #Gödel #completeness #semantic #syntactic #infinite #nonstandard #models #consistency #satisfiability #contraposition #compactness #ultraproduct #equivalences #contradiction #domain #axioms #Isomorphism #ElementaryEquivalence #Homogeneity #QuantifiereLimination #CountableModel #ParisHarrington #Vaught #ultrahomogeneous #Tarski #Algebraicallyclosedfields #realclosedfields🥘

My understanding so far.... #firstorderlogic #DataScientists #DeMorgens

#DyckhoffNegri-1 [#BezemCoquand #ButzJohnstone #GeometricLogic] Bulletin of Symbolic #Logic 21(2), 123-163 (2015) Geometrisation of #FirstOrderLogic Roy Dyckhoff (University of St. Andrews/UK) Sara Negri (University of #Helsinki/FI) M.t. Geometrisierung der Logik erster Stufe

#ForsterKirstWehr2021-1 [#ButzJohnstone #ForsterKirstWehr #Goedel1929 #KreiselCompleteness #New(ish)] Journal of #Logic and Computation 31(1), 112–151 (2021) Completeness theorems for #FirstOrderLogic analysed in constructive #TypeTheory: Extended version Yannick Forster >

#### OPEN TO ALL### GO Classes 2024 | Weekly Quiz 10 | First Order Logic is live now and it will be live for 72 hours. gateoverflow.in/exam/446/go-… #goclasses #weeklyquiz #firstorderlogic #gate2024 #gatecse #gateoverflow Follow: @GoClasses_CSE

### OPEN TO ALL ### GO Classes 2024 | Weekly Quiz 9 | First Order Logic is live now and it will be live for 3 days. gateoverflow.in/exam/443/go-… #goclasses #weeklyquiz #firstorderlogic #gate2024 #gatecse #gateoverflow Follow: @GOClasses_CSE

Un mese fa: segnalazione merce errata, mensola cucina troppo profonda E senza fori per i supporti a muro. Oggi: segnalazione merce errata, mensola cucina senza fori per i supporti a muro. Dai che ce la possiamo fare. #bruteforce #firstorderlogic #mondoconv #fail

If I disagree but acknowledge your point of view in that tweet, does that make me a better investor or not 🤔 #meta #firstorderlogic

So, Philosophers'Imprint just published a paper on Stoic #FirstOrderLogic & #MultipleGenerality that I co-authored with SimonShogry, in which we argue that the Stoics had all it takes to accommodate multiple generality in a variable-free 1st-order logic (abstract link below)(1/6)

#FATAtalk tomorrow 2 March at 13:00 by Vaishak Belle @vaishakbelle (Chancellor’s Fellow @EdinburghUni, @turinginst Fellow, @royalsociety URF) on his @NeurIPSConf 2019 paper “Implicitly Learning to Reason in #FirstOrderLogic” joint work with Brendan Juba @WUSTL @GlasgowCS

Just finished an utter delight of a book. Two others on the topic of #AI still in process. #ArtificialIntelligence #MachineLearning #DeepLearning @UCBerkeley @DeepMindAI #FirstOrderLogic

#AlphaGO #BigData #Chatbot #DarkForest #Ethics #FirstOrderLogic #gametheory H #InformationProcessingLanguage J #Kaggle #LinkedData #ML #NLP #OpenAI #Prediction Q #RandomForest #Selection #TuringTest #UnsupervisedLearning #Vision W X Y #ZeroRule

In fact, it might be possible to extend FlashText to process #regex patterns belonging to simple families, viz. finite dot-depth, w/o losing any efficiency. #FormalLanguages #FirstOrderLogic

translating first order logic into code is a lot of fun! #cs #firstorderlogic #code

Tales of Bound Variables ctp200.com/comic/27 #firstorderlogic #descriptionlogic #dl #love #ctp200