The Role of Processes in Dynamic Semantics 1. Introduction. Set-based model-theoretic accounts of clause interpretation are bifurcated in interpreting main versus argument clauses: main clauses denote a truth value in a

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3 Semantics for Sentential Logic 1 Truth-functions Now that we know how to recover the sentential logical form of an English argument from the argument itself, the next step is to develop a technique for testing argumen

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• Logic
• Logical connectives
• Propositional calculus
• Material conditional
• Negation
• Truth table
• Logical biconditional
• Truth function
• Exclusive or
• Truth value
• Tautology
• Universal quantification

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• Semantics
• Grammar
• Semiotics
• Pronouns
• Donkey sentence
• Quantification
• Anaphora
• Binding
• Free variables and bound variables
• Truth value
• Logical Form
• Pragmatics

Low-Dimensional Embeddings of Logic Tim Rockt¨aschel§ Matko Bosnjak§ Sameer Singh† Sebastian Riedel§ § Department of Computer Science, University College London, UK † Computer Science & Engineering, University o

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• Logic
• Philosophy
• Reasoning
• Semantics
• Model theory
• Critical thinking
• Logical consequence
• Embedding
• Negation
• Inference
• Truth value
• Distributional semantics

Three-Valued Logics Notation: p, q, r atomic formulas; A, B, C arbitrary formulas Values = {T, F, N} Valuation = assignment of a value from Values to each atomic formula Can be extended to an assignment of values to each

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• Propositional calculus
• Semantics
• Boolean algebra
• Logical connective
• Truth table
• Valuation
• If and only if
• Tautology
• Natural deduction
• Abstract algebra
• Logic
• Mathematics

Substitutional Quantifiers John MacFarlane—Philosophy 142 February 15, 2011 1

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• Semantics
• Model theory
• Metalogic
• Interpretation
• Quasi-quotation
• Truth-value semantics
• Constructible universe
• Well-formed formula
• Quantification
• Logic
• Mathematical logic
• Formal languages

Forthcoming in M. Loux and D. Zimmerman, eds., The Oxford Handbook of Metaphysics, Oxford: Oxford University Press Vagueness in Reality Timothy Williamson

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• Veracity
• Semantics
• Philosophy of language
• Vagueness
• Many-valued logic
• Supervaluationism
• Truth value
• Degree of truth
• Truth
• Logic
• Mathematical logic
• Fuzzy logic

30 For Michael Potter, ed., Mathematical Knowledge, Oxford University Press 2007 On Quantifying into Predicate Position: Steps towards a New(tralist) Perspective

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• Predicate logic
• Semantics
• Philosophy of language
• First-order logic
• Universal quantification
• Second-order logic
• Truth-value semantics
• Existential quantification
• Proposition
• Logic
• Mathematical logic
• Quantification