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unabst | 5 years ago
Math is a map. Maps are only real insofar as being a map, and only useful insofar as being true.
The drawing of the streets may be drawn with your pencil from memory, but the truth your friend relies on to get them where they need to go is real. The paper and pencil are real. And the physics of the informative truth that transcends from the streets to the paper is also real. Computers are the machines we've built based on the physics of logic, abstraction, and meaning. A computational value is something that means something to something else.
teucris|5 years ago
We can see it, but does that make it a physical property or something that we impose upon the universe?
For the rest of your statement, I don’t know if we can easily define “true” or “useful”. Epistemology has been working on those concepts for a long, long time, and I don’t know if they’ve made much progress recently.
unabst|5 years ago
Any combination of words can form a statement. So someone comes along and says let's agree on grammar. Then someone comes along and says let's confirm with nature whether statements actually align with nature before we call it a fact. This is modern science and the scientific truth. Scientifically, nature is the single source of truth and is all true. False only exists in the gap between a statement and nature.
unabst|5 years ago