#neutralmathematics — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #neutralmathematics, aggregated by home.social.
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The HoTT book has a proof that if excluded middle holds then all ordinals are trichotomous, meaning that x < y or x = y or x > y.
Ohad Kammar gave a better proof.
Today my colleague Paul Blain Levy improved both the proof and at the same time strengthened the statement: An ordinal is trichotomous if and only if its order is decidable.
1/#hott #univalentFoundations #constructiveMathematics
#neutralMathematics -
The HoTT book has a proof that if excluded middle holds then all ordinals are trichotomous, meaning that x < y or x = y or x > y.
Ohad Kammar gave a better proof.
Today my colleague Paul Blain Levy improved both the proof and at the same time strengthened the statement: An ordinal is trichotomous if and only if its order is decidable.
1/#hott #univalentFoundations #constructiveMathematics
#neutralMathematics -
The HoTT book has a proof that if excluded middle holds then all ordinals are trichotomous, meaning that x < y or x = y or x > y.
Ohad Kammar gave a better proof.
Today my colleague Paul Blain Levy improved both the proof and at the same time strengthened the statement: An ordinal is trichotomous if and only if its order is decidable.
1/#hott #univalentFoundations #constructiveMathematics
#neutralMathematics -
The HoTT book has a proof that if excluded middle holds then all ordinals are trichotomous, meaning that x < y or x = y or x > y.
Ohad Kammar gave a better proof.
Today my colleague Paul Blain Levy improved both the proof and at the same time strengthened the statement: An ordinal is trichotomous if and only if its order is decidable.
1/#hott #univalentFoundations #constructiveMathematics
#neutralMathematics -
The HoTT book has a proof that if excluded middle holds then all ordinals are trichotomous, meaning that x < y or x = y or x > y.
Ohad Kammar gave a better proof.
Today my colleague Paul Blain Levy improved both the proof and at the same time strengthened the statement: An ordinal is trichotomous if and only if its order is decidable.
1/#hott #univalentFoundations #constructiveMathematics
#neutralMathematics