Does string theory mean that in our universe 1 + 1 = 2 ?

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Discussion Overview

The discussion revolves around the implications of string theory on the fundamental arithmetic of addition, specifically questioning whether 1 + 1 = 2 holds true in the context of elementary distance measurements and spatial geometries. Participants explore the relationship between theoretical mathematics and physical measurements, particularly in the realm of string theory.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant suggests that due to "weird" spatial geometries at the elementary distance level, the precision of measurements in the real universe is limited, implying that 1 meter + 1 meter may not equal 2 meters in a strict sense.
  • Another participant questions the validity of Peano's arithmetic in the context of these unusual geometries.
  • A different viewpoint asserts that 1 + 1 = 2 remains valid even within the framework of string theory, indicating that this aspect of arithmetic is preserved.
  • One participant distinguishes between discrete items and continuous variables, arguing that while 1 + 1 = 2 holds for discrete items, continuous measurements involve error bars that affect the outcome of addition.

Areas of Agreement / Disagreement

Participants express differing views on the implications of string theory for basic arithmetic, with some asserting that 1 + 1 = 2 remains valid while others highlight the complexities introduced by continuous measurements and spatial geometries. The discussion does not reach a consensus.

Contextual Notes

Participants note limitations in precision related to physical measurements and the theoretical nature of distance, suggesting that assumptions about arithmetic may depend on the context of measurement and the frameworks being used.

zheng89120
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because there are these "weird" spatial geometries on the elementary distance level (PS. sorry, this is unlear)

PS. I mean physically 1 meter + 1 meter != 2 meters, because there is not that kind of precision on any of of these numbers regardless, as long as it is grounded in our universe

PS. like even if you have 2 theoretical units of distance, one you ground them into the real world they can not be infinitely precise, and neither can their answer

PS. It seems to me that the real universe can not be infinitely precise, and distance seems like a theoretical/mathematical abstraction having to do with Newtonian times.

Let me rephrase the question: How does 1+1=2 connect with elementary distance measurements?
 
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zheng89120 said:
because there are these "weird" spatial geometries on the elementary distance level
What the weirdest geometry may have to validity of Peano's arithmetic?
 
Actually, 1+1=2 even in the string universe. That's actually one thing that string theory gets right!
 
When dealing with discrete items, 1 + 1 = 2.

When dealing with continuous variable things, like distance, the numbers have error bars, so when you add them, you also have an error bar.
 

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