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Math 557 – Peano Arithmetic
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Math 557, Mathematical Logic, Penn State, Spring 2021; Week 13, Video #1
Jan Reimann
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Math 557 – Peano Arithmetic
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The Basics of Peano Arithmetic
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The Peano Axioms: Addition
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Salma Kuhlmann: Real closed fields and models of Peano arithmetic
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What is Number? (a Peano arithmetic primer)
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The Peano Axioms
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Math 557 - Cardinals and Alephs
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How does the Peano axiom of induction prevent S-loops? (4 Solutions!!)
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Peano Axioms Can Generate a Set Called 'Natural Numbers' That Is Definitely Not The Natura...
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Paola D'Auquino – Algebraic Constructions In Models Of Peano Arithmetic And Its Weak Fragments...
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Math 557 – Quantifier Elimination for Algebraically Closed Fields
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Peano Axioms | More Detailed Look At Why It Fails To Identify Natural Numbers Correctly
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Non-standard model of arithmetic
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Pavel Pudlák: The journey from Peano Arithmetic to proof complexity
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Joel David Hamkins: Continuous models of arithmetic
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Arithmetical set
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1-4 Standard model of arithmetic
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Joel David Hamkins: Pointwise definable / Leibnizian extensions of models of arithmetic / set theory
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What does arithmetical set mean?
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Skolem’s “paradox” as logic of ground
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Week 12: Computing the standard model of arithmetic
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