- #36
member 587159
jbriggs444 said:
Indeed, I agree as well to this. There is even a field axiom, called the non-triviality axiom, that forbids that ##0 = 1##.
jbriggs444 said:I stand behind the correctness of the logic in #7: If ##\infty## is an element in the field and has the property that ##\frac{1}{\infty}## = 0 then 1=0.
In the post above jbriggs444 continues to the nonsense result that 1 = 0.jbriggs444 said:If ##\infty## were a member of the field of real numbers and if one agreed that ##\frac{1}{\infty}=0## then one could proceed to prove nonsense. For example...
A shorter version of what jbriggs444 said in post #35.Mr Indeterminate said:Then how you reason that x(x-1)=0 isn't proof of 1=0 while in #7 it is?
The equation ∞= 1/0 is a result of mathematical manipulation and does not have a specific origin. It is often used in theoretical discussions and is not a valid mathematical statement.
No, this equation is not true. Dividing any number by zero is undefined in mathematics. The concept of infinity does not apply to division by zero.
Infinity and zero are two distinct concepts in mathematics and cannot be equated. Infinity represents an unbounded quantity, while zero represents a specific quantity. Dividing by zero results in an undefined answer, not an infinite one.
No, division by zero is a fundamental mathematical error and cannot be ignored. It leads to contradictions and invalidates the entire equation.
No, this equation is not valid in any mathematical context. It goes against the fundamental rules and principles of mathematics and cannot be justified.