[FOM] intuitions of logic in Chicago and Cambridge

[praatika@mappi.helsinki.fi]

Lainaus Gabriel Stolzenberg <gstolzen at math.bu.edu>:
 
>    In fact, classical mathematicians  sometimes use their logical
> intuitions to "prove" the law of excluded middle.  Although they
> don't realize it, they use excluded middle reasoning to prove the
> statement of the law of excluded middle.

Isn't this a little bit uncharitable. Even if some have proceeded like 
this, an adherent of classical logic certainly neeed not to do that. 
Rather, one can derive LEM from the Principle of Bivalence, which in turn 
seems to be analytically built in to the classical, realist conception of 
truth. 

However, I think that it is very difficult to argue against these ideas 
without already presupposing the intuitionistic interpretation of logical 
constants.

Best, Panu


Panu Raatikainen
Ph.D., Academy Research Fellow,
Docent in Theoretical Philosophy
Department of Philosophy, 
University of Helsinki
Finland

Visiting Fellow, 
Institute of Philosophy,
School of Advanced Studies, 
University of London

E-mail: panu.raatikainen at helsinki.fi
 
http://www.helsinki.fi/collegium/eng/Raatikainen/raatikainen.htm



Panu Raatikainen
Ph.D., Academy Research Fellow,
Docent in Theoretical Philosophy
Department of Philosophy, 
University of Helsinki
Finland

Visiting Fellow, 
Institute of Philosophy,
School of Advanced Studies, 
University of London

E-mail: panu.raatikainen at helsinki.fi
 
http://www.helsinki.fi/collegium/eng/Raatikainen/raatikainen.htm