mathematics is not the language of reality
- From: "elsiemelsi" <cyprinsam@xxxxxxxxxxxxxxx>
- Date: Mon, 17 Mar 2008 12:03:25 -0500
mathematics is not the language of reality
mathematics has no semantic content
mathematics is diviod of semantic content thus it cant say anything about
reality
when meaning is overlayed onto the symbols we end in the Carrollâ??s
Paradox formalism in mathematics is an attempt to avoid the pitfalls of
Carrollâ??s Paradox due to semantic meaning being given to the symbols
1+1=2 are just meaningless symbols connected by rules
it is only when we make the symbols correspond to reality that in this
case we see we are dealing with numbers
take the axiomatic system ZFC is just a meaningless array of symbols
connected by rules of inference we give meaning to those symbols and say
ZFC deals with set
mathematics is diviod of semantic content thus it cant say anything about
reality
as
http://www.mathacademy.com/pr/prime/articles/carroll/index.asp
says
"The formalist solution, while effective, has its own philosophical
drawbacks. Not the least of these is that, by reducing logic to
uninterpreted symbols, all semantic content is removed from the
conclusions of formal logic. In other words, what we would ordinarily
consider meaning is lost. How to restore meaning to systems of inference
while still avoiding difficulties such as Carrollâ??s Paradox remains a
thorny question for philosophers of mathematics."
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