Januar 6, 2021 Equal positive integers |Theorem: All positive integers are equal.Proof: Sufficient to show that for any two positive integers, A and B, A = B.Further, it is sufficient…
Januar 6, 2021 Numbers equal zero |Theorem : All numbers are equal to zero.Proof: Suppose that a=b. Thena = ba^2 = aba^2 – b^2 = ab – b^2(a + b)(a…
Januar 6, 2021 Three is equal to four |Theorem: 3=4Proof:Suppose:a + b = cThis can also be written as:4a – 3a + 4b – 3b = 4c – 3cAfter reorganizing:4a + 4b…
Januar 6, 2021 Four is equal to five |Theorem: 4 = 5Proof:-20 = -2016 – 36 = 25 – 454^2 – 9*4 = 5^2 – 9*54^2 – 9*4 + 81/4 = 5^2…
Januar 6, 2021 All numbers are equal |Theorem: All numbers are equal.Proof: Choose arbitrary a and b, and let t = a + b. Thena + b = t(a + b)(a…
Januar 6, 2021 Proof E equal to one |Theorem: e=1Proof:2*e = f2^(2*pi*i)e^(2*pi*i) = f^(2*pi*i)e^(2*pi*i) = 1Therefore:2^(2*pi*i) = f^(2*pi*i)2=fThus:e=1
Januar 6, 2021 One equal to one half |Theorem: 1 = 1/2:Proof:We can re-write the infinite series 1/(1*3) + 1/(3*5) + 1/(5*7) + 1/(7*9)+…as 1/2((1/1 – 1/3) + (1/3 – 1/5) +…