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Aug
5
awarded  Yearling
Jul
13
comment Is every real a member of some CTM?
Thank you for your answer.
Jul
13
accepted Is every real a member of some CTM?
Jul
13
asked Is every real a member of some CTM?
Mar
25
revised Rigid fields containing $\mathbb{C}$
added 120 characters in body
Mar
25
comment Rigid fields containing $\mathbb{C}$
Also, is the extension you talked about rigid as a (abstract) field or as a $\mathbb{C}$-algebra?
Mar
25
comment Rigid fields containing $\mathbb{C}$
Dear Emil: could you send me a copy please on hollowdead1@gmail.com?
Mar
22
revised Rigid fields containing $\mathbb{C}$
added 76 characters in body
Mar
22
comment Rigid fields containing $\mathbb{C}$
In the comments to the answer to the linked question, they said the methods applied so far cannot avoid a jump in cardinality.
Mar
22
revised Rigid fields containing $\mathbb{C}$
added 13 characters in body
Mar
22
comment Rigid fields containing $\mathbb{C}$
Ok you are right, Unique should mean as a field. I don't know about a reference that there is no field of cardinality $2^{\aleph_0}$ which contains $\mathbb{C}$ and which has trivial automorphism group (over $\mathbb{Q}$).
Mar
22
comment Rigid fields containing $\mathbb{C}$
Thank you; Maybe "unique" should mean as a $\mathbb{C}$-field.
Mar
22
revised Rigid fields containing $\mathbb{C}$
added 190 characters in body
Mar
22
asked Rigid fields containing $\mathbb{C}$
Mar
17
comment Automorphisms of $\mathbb{C}$ and meromorphic functions
Yes, all constants of $\mathbb{C}$ are in. You can take it $L=(+,\cdot, 0,1) \cup\mathbb{C}$.
Mar
17
revised Automorphisms of $\mathbb{C}$ and meromorphic functions
added 66 characters in body
Mar
17
comment Automorphisms of $\mathbb{C}$ and meromorphic functions
You cannot use complex conjugation, since it already implicitly defines $\mathbb{R}$.
Mar
17
revised Automorphisms of $\mathbb{C}$ and meromorphic functions
added 2 characters in body
Mar
17
revised Automorphisms of $\mathbb{C}$ and meromorphic functions
deleted 52 characters in body
Mar
17
asked Automorphisms of $\mathbb{C}$ and meromorphic functions