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The consistency of the axiom of comprehension in the infinite-valued predicate logic of ?ukasiewicz

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.2307/2271339openalex-snapshot
Axiomatization of the infinite-valued predicate calculus
inferredcites →https://doi.org/10.2307/2964111openalex-snapshot
Die nichtaxiomatisierbarkeit des unendlichwertigen Prädikatenkalküls von Łukasiewicz

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Fuzzy Set Theory – 40 Years of Foundational Discussions
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The Age of Alternative Logics
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Semantics for Naive Set Theory in Many-Valued Logics
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Exploring Human-Computer Interaction in Mathematics: From Voevodsky’s Univalent Foundations of Mathematics to Mochizuki’s IUT-Theoretic Proof of the ABC Conjecture
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Introduction
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The Logic of Fuzzy Set Theory: A Historical Approach
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Set Theory and Arithmetic in Fuzzy Logic
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Living in an Uncertain Universe
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Basic Many-Valued Logic
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Paraconsistent Logic
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Semantics and the Liar Paradox
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The gentzenization and decidability of RW
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Curry's paradox in contractionless constructive logic
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Boolean negation and all that
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Gentzenization and decidability of some contraction-less relevant logics
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How to bereally contraction free
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On arithmetic in the Cantor- Łukasiewicz fuzzy set theory
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Distinguishing non-standard natural numbers in a set theory within Łukasiewicz logic
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Fuzzy logic and self-referential reasoning: a comparative study with some new concepts
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Non-Monotonic Set Theory as a Pragmatic Foundation of Mathematics
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The Simple Consistency of Naive Set Theory using Metavaluations
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Paths to Triviality
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Universes of Fuzzy Sets and Axiomatizations of Fuzzy Set Theory. Part I: Model-Based and Axiomatic Approaches
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Extensionality and Restriction in Naive Set Theory
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Truth and Paradox
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Fuzzy class theory
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Triangular norm based predicate fuzzy logics
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New directions in the analysis and interactive elicitation of personal construct systems
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Precise past—fuzzy future
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Relevant and substructural logics
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Paradoxes, Self-Reference and Truth in the 20th Century
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Paradoxes and Inconsistent Mathematics
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Preface
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What Are the Paradoxes?
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Introduction to an Inconsistent World3
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Paradoxes; or, “Here in the Presence of an Absurdity”
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How to Face the Paradoxes?
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In Search of a Uniform Solution
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Metatheory and Naive Theory
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Prolegomena to Any Future Inconsistent Mathematics
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Where Are the Paradoxes?
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Set Theory
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Arithmetic
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Algebra
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Real Analysis
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Topology
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Why Are There Paradoxes?
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Ordinary Paradox
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Bibliography
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Index
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Backmatter
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FIBRED ALGEBRAIC SEMANTICS FOR A VARIETY OF NON-CLASSICAL FIRST-ORDER LOGICS AND TOPOLOGICAL LOGICAL TRANSLATION
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A METRIC SET THEORY WITH A UNIVERSAL SET
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REPLY TO BJØRDAL
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NAIVE TRUTH AND RESTRICTED QUANTIFICATION: SAVING TRUTH A WHOLE LOT BETTER
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NAIVE SET THEORY AND NONTRANSITIVE LOGIC
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Naïve Comprehension and Contracting Implications
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Routes to Triviality
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A general logic
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EPISTEMIC PERSPECTIVE—ACT—PARADIGM
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Strong, universal and provably non-trivial set theory by means of adaptive logic
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On White's Expansion of Lukasiewicz Logic
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Toward Problems for Mathematical Fuzzy Logic
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A set theory within fuzzy logic
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Logical foundations for knowledge representation in intelligent systems
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Prospects for a Naive Theory of Classes
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A note on naive set theory in ${\rm LP}$.
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Variations on a Theme of Curry
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