| Further explanation of (1+1=2)=false |
"Is (1 + 1 = 2) a truth? The equation is consistent and repeatable within the system of mathematical thought, but outside of that system, and similar ones, the consistency and repeatability of the equation does not stand to reason. For example, in terms of time and space, there is no such thing as two identical units. So 1 + 1 cannot equal 2. From another perspective, when the units and signs of the equation are broken down in terms of their meanings, they come to an unknown. So we really don't know if 1 + 1 = 2 is a truth. Further, if the units and signs are mere invented labels with invented meanings, it follows that it is unlikely that the equation really is a truth (ie. truth does not equate with the fabrication of thought)." From Dispute 9 Response 15.
"The result, 1+1=2 is consistent in the mathematical system of thoughts, and similar systems, though outside of them, it can be shown to be false, because in terms of space and time, there is no such thing as two identical things, so 1+1 does not equal two, and can never produce the same result." From Response to Entry 24.
The mathematical equation, (1+1=2) occurs in space and time, for instance, when it is in our minds, thereby, depending on the system of definitions and rules for the equation, it may be subject to the axiom that two things themselves cannot be identical. If it is subject to the axiom, there is no such thing as 1 and 1, so (1+1=2)=FALSE, or better still, (1+1=2)=ILLUSION.
Through the proposition’s structure, it appears to imply the identity 1, and identity 2 (identity 1 + identity 1). If this is the case, the equation collapses on grounds that two things themselves cannot be identical (ie. 1 and 1).
If the equation refers to an object (ie. unit 1 with unknown identity), it follows that the equation must equal 2 units of 1. However, this definition of the equation is limited, for the obvious reason it leaves out identity. If the equation includes identity, it collapses on grounds that two things themselves cannot be identical.
If the equation refers to an object (ie. unit 1 with no identity), it follows also that the equation equals 2 units of 1. Though, we are left with the mathematical equation being an invention of our minds, thus our view on whether it is true or false being an invention as well.
If the equation refers to neither an identity or object, it appears to have no meaning.
Therefore, all four scenarios, in terms of identity and object, show that the equation, and its result, is not a truth.