- #1
arildno said:Your mistake lies in assuming that the constant of integration must be the same "c".
It won't be.
The equation "0=1" means that two numbers, 0 and 1, are equal to each other. This is a false statement, as 0 and 1 have different numerical values.
No, it is not possible for 0 to equal 1. In mathematics, 0 is defined as the absence of any quantity, while 1 is defined as the first whole number. These two numbers have distinct meanings and cannot be equal to each other.
The equation "0=1" is considered a contradiction because it violates the fundamental property of equality, which states that two quantities are equal if and only if they have the same value. Since 0 and 1 have different values, the equation cannot be true.
No, there are no real-life situations where "0=1" could be true. This equation goes against the basic principles of mathematics and contradicts real-world observations and experiences.
The concept of "0=1" does not directly relate to the idea of infinity. However, both concepts are often used in mathematical equations and theories, and they both require careful understanding and application to avoid contradictions and errors.