Math is a set of languages. You can only say things within the grammar and syntax limits of an individual language, but this is overcome by math's many dialects. Math cannot say 1/3 exactly in decimal format, but 1/3 can still be spoken of as a fraction. The 1/3 debate is no different than arithmetic's inability to model a car's velocity as a function of time with changing acceleration. Arithmetic can't convery this concept, but calculus can.

Also, 1+1=3 is a big deal because all of physics would crumble if a single anything combined with another anything spontaneously and consistently formed an additional anything. Things like the heat death of the universe become impossible since nothing can ever approach the value of zero, yet every quantifiable thing would follow a trend toward infinity.

If I gave you a muffin, all the matter and energy of the muffin would be duplicated on some level since adding unity to something positively alters unity's value. Therefore, I just made matter and energy and ruined all of physics.

Or you could consider atomic collisions in a block of ice. Each collision spawns more energy and eventually your block of ice would resemble a pulsar if you let it sit long enough.

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