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warpspeedpetey
Guest
What? applied mathematics is a set of all mathematics. Since Godel showed that no system of axiomatic mathematical theories can be proven. I don’t see how applied mathematics escapes that fate.The application of math to real-world problems is a different issue from pure math.
That’s not the caseMy proposal that mathematics represents absolute truth refers just to mathematics, exactly as I stated. 2+2=4 remains true even in an empty universe which contains nothing to count. Math does not depend upon relevance. It is true irrespective of God’s or man’s ability to discover it.
look here mathforum.org/library/drmath/view/52291.html
Let’s begin with your assertion that “You can’t ‘invent’ 1 + 1 = 2; it
just does.”
On the contrary,
Code:1 + 1 = 0 in mod(2) arithmetic
Code:1 + 1 = 10 in base(2) arithmetic
Code:1 + 1 = 1 in Boolean arithmetic
Code:1 + 1 = [an arbitrary value] in group theory, depending on your choice of group.
In fact, ‘1 + 1 = 2’ is a consequence of selecting one particular set
of rules to define one particular formal system. But there are lots of
other systems that can be defined, and confusing ‘Peano arithmetic’
with ‘mathematics’ is like confusing ‘Chess’ with ‘games’.
As no mathematician has yet proven that, on what basis do you make this statement?Mathematical principles and theorems cannot be created by man or God— they can only be discovered.