Is it true that the class of initial ordinals is proper?
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It is well-known that the class of ordinals is the proper class. Is it true that the class of initial ordinals is proper?
Thank you for your help!
elementary-set-theory ordinals
asked Dec 1 at 12:43
Le Anh Dung
9701421
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up vote
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It is well-known that the class of ordinals is the proper class. Is it true that the class of initial ordinals is proper?
Thank you for your help!
elementary-set-theory ordinals
asked Dec 1 at 12:43
Le Anh Dung
9701421
Hint: there is an injection from the class of ordinals to the class of initial ordinals
– Wojowu
Dec 1 at 12:52
Hint for a different proof: Show that every ordinal is an element of an initial ordinal. Then apply the axiom of union.
– Andreas Blass
Dec 1 at 15:22
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
It is well-known that the class of ordinals is the proper class. Is it true that the class of initial ordinals is proper?
Thank you for your help!
elementary-set-theory ordinals
asked Dec 1 at 12:43
Le Anh Dung
9701421
It is well-known that the class of ordinals is the proper class. Is it true that the class of initial ordinals is proper?
Thank you for your help!
elementary-set-theory ordinals
elementary-set-theory ordinals
asked Dec 1 at 12:43
Le Anh Dung
9701421
asked Dec 1 at 12:43
Le Anh Dung
9701421
asked Dec 1 at 12:43
Le Anh Dung
9701421
asked Dec 1 at 12:43
Le Anh Dung
9701421
asked Dec 1 at 12:43
Le Anh Dung
9701421
9701421
Hint: there is an injection from the class of ordinals to the class of initial ordinals
– Wojowu
Dec 1 at 12:52
Hint for a different proof: Show that every ordinal is an element of an initial ordinal. Then apply the axiom of union.
– Andreas Blass
Dec 1 at 15:22
add a comment |
Hint: there is an injection from the class of ordinals to the class of initial ordinals
– Wojowu
Dec 1 at 12:52
Hint for a different proof: Show that every ordinal is an element of an initial ordinal. Then apply the axiom of union.
– Andreas Blass
Dec 1 at 15:22
Hint: there is an injection from the class of ordinals to the class of initial ordinals
– Wojowu
Dec 1 at 12:52
Hint: there is an injection from the class of ordinals to the class of initial ordinals
– Wojowu
Dec 1 at 12:52
Hint for a different proof: Show that every ordinal is an element of an initial ordinal. Then apply the axiom of union.
– Andreas Blass
Dec 1 at 15:22
Hint for a different proof: Show that every ordinal is an element of an initial ordinal. Then apply the axiom of union.
– Andreas Blass
Dec 1 at 15:22
add a comment |
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Hint: there is an injection from the class of ordinals to the class of initial ordinals
– Wojowu
Dec 1 at 12:52
Hint for a different proof: Show that every ordinal is an element of an initial ordinal. Then apply the axiom of union.
– Andreas Blass
Dec 1 at 15:22