fom
Posts:
1,968
Registered:
12/4/12


Re: ZFC is inconsistent
Posted:
Mar 18, 2013 3:23 AM


On 3/17/2013 3:25 AM, WM wrote: > On 17 Mrz., 00:10, Virgil <vir...@ligriv.com> wrote: >> In article >> <489bd644d0e741cb8aca18c916979...@bs5g2000vbb.googlegroups.com>, >> >> WM <mueck...@rz.fhaugsburg.de> wrote: >>> On 16 Mrz., 16:10, fom <fomJ...@nyms.net> wrote: >> >>>> Borel was critical of the axiom of choice. >> >>> Very. >> >>>> According to most accounts, it had been determined >>>> that much of his work had implicitly used the >>>> axiom of choice. > > Impossible. Borel worked in mathematics only. And he knew that > uncountability is not a part of mathematics. In other instances AC is > not required.
Given your location and ethnicity, let me apologize for the title at once.
It is, however, the first book that came up giving an account similar to that which I refer above. See page 21.
http://books.google.com/books?id=Xa8CNCyohBQC&pg=PA21&lpg=PA21&dq=%22emile+borel%22+%22axiom+of+choice%22&source=bl&ots=48RmezpyDb&sig=4hAXQkKzbeCG9JTF0S5fvIWpPXs&hl=en&sa=X&ei=LNGUfeFOKGA2AWx_oCgCA&ved=0CFQQ6AEwCA#v=onepage&q=%22emile%20borel%22%20%22axiom%20of%20choice%22&f=false
It is an odd thing. What one purports is not necessarily what one does.
In my social class that reads in a reverse direction:
"Actions speak louder than words"
I wish only that my current knowledge base could provide the details  preferably from original sources. Sadly, I cannot.

