1912 Manuscript Analysis

1912 Manuscript Analysis - 1912 Manuscript Analysis Problem...

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1912 Manuscript Analysis Problem Definition - Defining the Math Rule T HE M ATH R ULE FOR C HALLENGING E INSTEIN ' S 1912 M ANUSCRIPT There are two rules used to evaluate Einstein's 1912 manuscript; implication and equivalence . E QUIVALENCE There is a mathematical rule that states that two statements, P and Q , are equivalent to each other if when P is TRUE , Q is also TRUE, and visa-versa. In addition, when P is FALSE , Q is also FALSE , and visa-versa. When equations are equivalent to each other they can be used as replacements for one other. Mathematically, equivalence is written as: P <==> Q For example, if P is "x+x+x+x=10" and Q is "4x=10" , then we can show that P is equivalent to Q . In this case, Q can be used instead of P . If, however, Q is " 4x=n ", then we can show that Q will be TRUE in cases where P is FALSE . In this case the two statements are not equivalent and it would be a mistake to use Q as a replacement for P . If we find that
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1912 Manuscript Analysis - 1912 Manuscript Analysis Problem...

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