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Timeline for A better way to explain forcing?

Current License: CC BY-SA 4.0

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Apr 20, 2023 at 14:43 comment added Rodrigo Freire @TimothyChow A more general axiomatic approach to forcing can be found in the paper "An axiomatic approach to forcing in a general setting", BSL, 28, 3, 2022. doi.org/10.1017/bsl.2022.15
Oct 8, 2020 at 11:08 history edited Rodrigo Freire CC BY-SA 4.0
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Aug 21, 2020 at 15:34 vote accept Timothy Chow
Aug 20, 2020 at 21:54 history edited Rodrigo Freire CC BY-SA 4.0
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Aug 20, 2020 at 21:11 comment added Rodrigo Freire I have tried to motivated the axioms in terms of control: The standard forcing-generic extension is a uniform adjuction of G, ground controlled by forcing. Axioms (1) to (8) are, I believe, not hard to motivate from this point of view. ( M[G] must be controlled from the ground in order to guarantee that G does not encode special properties one can only see from the outside and which would forbid M[G] to be a model).
Aug 20, 2020 at 20:56 comment added Timothy Chow This is excellent! From an expository point of view, I still desire a further "reversal," namely motivating the axioms by the way they are used to prove that $M[G]$ satisfies ZFC, but your work is big step in the direction I was hoping for.
Aug 20, 2020 at 19:57 history answered Rodrigo Freire CC BY-SA 4.0