Why 1+1 =2 on the 20 greatest equation list?

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Discussion Overview

The discussion revolves around the inclusion of the equation 1+1=2 in a list of the 20 greatest equations. Participants explore its significance, implications, and the nature of what constitutes an equation, touching on foundational concepts in mathematics and the philosophical aspects of definitions and proofs.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Mathematical reasoning

Main Points Raised

  • Some participants suggest that 1+1=2 is included due to its foundational nature in mathematics, as it is one of the first equations learned.
  • Others argue that the equation is not as simple as it appears and requires a significant amount of effort to prove, referencing works like Russell and Whitehead's Principia Mathematica.
  • There are claims that 1+1=2 serves as a demonstration of equivalence, which is a fundamental aspect of equations.
  • Some participants express skepticism about the need to prove 1+1=2, suggesting that if one needs to prove it, they might not belong in the field of mathematics.
  • One participant points out that while 1+1=2 can be proven within a defined system, it is fundamentally a definition of addition rather than a universally provable statement.
  • There are discussions about the context in which 1+1=2 is considered an equation, with references to set theory and the Peano axioms.
  • Some participants express confusion about the jargon used in the discussion, indicating a desire for clearer explanations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the significance of 1+1=2 as an equation. There are multiple competing views regarding its simplicity, the necessity of proof, and its foundational role in mathematics.

Contextual Notes

The discussion highlights the complexity of defining basic mathematical operations and the philosophical implications of what it means to prove an equation. There are references to various mathematical frameworks that influence how 1+1=2 is understood.

  • #61
Diffy said:
As a computer science minor I personally believe that 1 + 1 = 0 :smile:

As a CS major I thought you'd say 1+1=11
 
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  • #62
John Creighto said:
As a CS major I thought you'd say 1+1=11

Oh, sorry to be picky but that's 1+1=10.

As in the good old,
“There are 10 kinds of people in the world: those who can read binary, and those who can't.”​
⚛​
 
  • #63
CaptainQuasar said:
Oh, sorry to be picky but that's 1+1=10.

As in the good old,
“There are 10 kinds of people in the world: those who can read binary, and those who can't.”​
⚛​


right and 10 + 10 = 100, but if you only had two bytes 10 + 10 = 00, just like if you only had one bit 1 + 1 = 0.

I was assuming one bit.
 
Last edited:

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