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Added a summary of Schatz's thesis
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Timothy Chow
Timothy Chow
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Although it's not really a scholarly publication, the Quanta Magazine article, To Settle Infinity Dispute, a New Law of Logic, gives a good introduction to the topic. That article mentions a conference, Inner Model Theory & Large Cardinals, a 50 year Celebration, but unfortunately I have not been able to find much information about that conference. Another good reference is the 2019 Ph.D. thesis of Jeffrey Schatz, Axiom Selection by Maximization: V = Ultimate L vs Forcing Axioms. In particular, Schatz tries to argue that the "bigger is better" or "maximize" principle favors forcing axioms over V = Ultimate L.

Although it's not really a scholarly publication, the Quanta Magazine article, To Settle Infinity Dispute, a New Law of Logic, gives a good introduction to the topic. That article mentions a conference, Inner Model Theory & Large Cardinals, a 50 year Celebration, but unfortunately I have not been able to find much information about that conference. Another good reference is the 2019 Ph.D. thesis of Jeffrey Schatz, Axiom Selection by Maximization: V = Ultimate L vs Forcing Axioms.

Although it's not really a scholarly publication, the Quanta Magazine article, To Settle Infinity Dispute, a New Law of Logic, gives a good introduction to the topic. That article mentions a conference, Inner Model Theory & Large Cardinals, a 50 year Celebration, but unfortunately I have not been able to find much information about that conference. Another good reference is the 2019 Ph.D. thesis of Jeffrey Schatz, Axiom Selection by Maximization: V = Ultimate L vs Forcing Axioms. In particular, Schatz tries to argue that the "bigger is better" or "maximize" principle favors forcing axioms over V = Ultimate L.

Source Link
Timothy Chow
Timothy Chow
  • 82.7k
  • 26
  • 363
  • 587

Although it's not really a scholarly publication, the Quanta Magazine article, To Settle Infinity Dispute, a New Law of Logic, gives a good introduction to the topic. That article mentions a conference, Inner Model Theory & Large Cardinals, a 50 year Celebration, but unfortunately I have not been able to find much information about that conference. Another good reference is the 2019 Ph.D. thesis of Jeffrey Schatz, Axiom Selection by Maximization: V = Ultimate L vs Forcing Axioms.