Fallacies in Mathematics Pages: Page 1, Page 2, Page 3, Page 4, Page 5, Page 6, Page 7, Page 8, Page 9, Page 10, Page 11Share this: Share on Facebook (Opens in new window) Facebook Share on X (Opens in new window) X Share on LinkedIn (Opens in new window) LinkedIn Share on WhatsApp (Opens in new window) WhatsApp Share on Pinterest (Opens in new window) Pinterest Share on Telegram (Opens in new window) Telegram Email a link to a friend (Opens in new window) Email Print (Opens in new window) Print Like this:Like Loading...
Here the error is in the application of the property: √(a×b) = √(a) × √(b), which is valid if a≥0 and b≥0. Therefore, the equality √[(-1)×(-1)] = √(-1) × √(-1) is an error. Loading... Reply
2: Relies on incorrectly not specifying which root signs are valid, like 1 = sqrt(1^2) = sqrt(1) = -1 3: Same as 2 4: Divides by 0 5: Same as 4 6: When we say inf+x = x, the equality is referring to effects on multiplication and converging sequences/integration, not further addition 7: sin(x) is an oscillating function, so its inverse is infinitely multivariate unless the range is restricted, as is clear from the graph shape 8: Same as 7 but only 1 oscillation 9: The assumption of correlated inequality only applies if they are all positive integers, since with negatives the ratios are 1/-1 = -1/1 10: Constant +c wasn’t included in any of the indefinite integrals 11: logs of negative numbers are undefined Loading... Reply
Here the error is in the application of the property: √(a×b) = √(a) × √(b), which is valid if a≥0 and b≥0. Therefore, the equality √[(-1)×(-1)] = √(-1) × √(-1) is an error.
Thank you so much
Number 4 is wrong since you cant divide by (a-b) because it’s zero if a=b
Thank you
2: Relies on incorrectly not specifying which root signs are valid, like 1 = sqrt(1^2) = sqrt(1) = -1
3: Same as 2
4: Divides by 0
5: Same as 4
6: When we say inf+x = x, the equality is referring to effects on multiplication and converging sequences/integration, not further addition
7: sin(x) is an oscillating function, so its inverse is infinitely multivariate unless the range is restricted, as is clear from the graph shape
8: Same as 7 but only 1 oscillation
9: The assumption of correlated inequality only applies if they are all positive integers, since with negatives the ratios are 1/-1 = -1/1
10: Constant +c wasn’t included in any of the indefinite integrals
11: logs of negative numbers are undefined
Thank You so much