RE: Actual Infinity in Reality?
February 15, 2018 at 3:09 pm
(This post was last modified: February 15, 2018 at 3:16 pm by The Grand Nudger.)
Logic -is- an axiomatically driven abstraction. Math and logic both find themselves forced to draw from the same "pool" when attempting to describe some x. Working from axioms, logic itself only describes the relationships between propositional statements and their material implications. That;s why it;s so useful. We can apply it to a broad range of statements and implications once we define ur variables. The same is true of math. In the absract, it signifies nothing. Variables defined, it describes the universe.
Where they differ is in the added difficulty of natural language as opposed to math. Were it not for that..we'd never have to wonder about truth..we could plug any statement into a simple calculator and determine it. Ulimately, that may be what we're doing when we work shit out with our headmeat, tho, so caveat emptor.
Neither math nor propositional logic are crystal balls that force the cosmos into accord with their axomatic assumptions. It's the reverse, factually. Their utility might explain why some of us elevate both beyond their station...but, that;s just a quirck of humanity. We invest incredible value in useful things, and bestow those things with fanciful properties as a function of our admiration. I talk to my axe, too.
Where they differ is in the added difficulty of natural language as opposed to math. Were it not for that..we'd never have to wonder about truth..we could plug any statement into a simple calculator and determine it. Ulimately, that may be what we're doing when we work shit out with our headmeat, tho, so caveat emptor.
Neither math nor propositional logic are crystal balls that force the cosmos into accord with their axomatic assumptions. It's the reverse, factually. Their utility might explain why some of us elevate both beyond their station...but, that;s just a quirck of humanity. We invest incredible value in useful things, and bestow those things with fanciful properties as a function of our admiration. I talk to my axe, too.
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