[quote]pat wrote:
[quote]DoubleDuce wrote:
[quote]pat wrote:
Which makes it deductively true and therefore not a matter of faith. Things true by definition are absolute. Only abstracts can be absolute, nothing physical can be. [/quote]
I disagree. Not part of the natural world (supernatural) makes it entirely faith. Absolute means not subject to change. It is, but only because it is nothing. It is only as absolute as it is utterly meaningless.
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The opposite is true.
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Addition cannot change, because addition has no actual meaning. Change requires existence. I can as easily define addition that makes 2+2 equal 11 in Duce-gebra and have it be equally true and absolute as algebra. BUT, if we were to get together and discuss and pursue the knowledge of duce-gebra, it would not be a pursuit of fact or the universe.
I think you confuse absolute with fact. [/quote]
You cannot arbitrarily change the definition of things you are not in control of, which is pretty much everything. You can make 2+2 equal 11 if you want to, but no matter how hard you try it’s still wrong. You cannot drive 11 from 2 things added to 2 other things, be they physical or metaphysical. The shapes used in math are just symbols that represent things. The symbols do not matter, the definition of them demands them be what they are. These are not arbitrary, but completely absolute. 2 no matter how it’s represented, or what it represents, is still 2 and if you add another 2 to it, you have 4.
The physical is not absolute, the metaphysical is.[/quote]
Wrong. Pure math, as you were discussing and specified, does not related to physical things. 2+2 is defined as equaling 4 arbitrarily in pure math. There is no such thing as an integer or addition in the real world.
If, as you seem to be doing here, relating math to physical objects, you are venturing into other branches of science.
You have contradicted yourself. You have defined math as purely abstract and absolute, then set about to prove it by physical means. You are moving the playing field. We must either discus, as I first stated, abstract (absolute) math, or physical science. When you assign objects to number or assign actions to operations, your system is provable, but it also becomes disprovable and none-absolute. In my head 2 objects + 2 objects results in 11 objects. In abstract (pure) math, you cannot prove or disprove that statement. It is only defined as untrue by the invented rules of mathematics. It is not as you assert, proven untrue.
If you wish to delve into the math of the physical sciences, I ask this, what is the physical definition of adding 2 things together?