False Calculus: A Mathematical Paradox

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In summary, the conversation revolves around the effectiveness and validity of calculus in solving mathematical and engineering problems. It is argued that calculus is necessary for linear equations of the first order but becomes more complex with higher order equations. The concept of infinity and its role in calculus is also discussed. The conversation ends with a reminder to do proper research before making claims about the validity of calculus.
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E_Gracka
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OP warned to not post "noise" again
Calculus works for linear equations of the 1st order because it is simple geometry, and that cannot be faulted; one does not need calculus for this. Now take a second order equation, the simple function: y = x^2. From rudimentaries, detay y / deltax = 2x + delta x. That is the EXACT equation for the slope. One can make delta x as small as one wants, however the slope changes. Bringing delta x to infinity, and delta y follows, is the manner in which, all calculations are consistent, but not right. Infinity, as is well known, does not exist, for it is a mathematical trick for some aspects of mathematics to exist. Calculus is a manner in which, to normalise calculations throughout the mathematical and engineering field. Comments please.
 
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  • #2
Are you familiar with epsilon-delta definitions which prove the correctness of the equations?

Are you aware that there is ton of observational evidence for calculus?
 
  • #3
At least you could try to phrase your ideas coherently if you're trying to refute such a successful mathematical theory...
 
  • #4
Cruz Martinez said:
At least you could try to phrase your ideas coherently if you're trying to refute such a successful mathematical theory...

Wow, Cruz! That is asking a lot. How can one hope phrase their ideas coherent when doing something fundamentally incoherent? It took a lot of guts for the OP just to put his thoughts up; it is too much to ask that they make sense too!
 
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In before lock.
 
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phion said:
In before lock.
:DD
 
  • #7
OldEngr63 said:
Wow, Cruz! That is asking a lot. How can one hope phrase their ideas coherent when doing something fundamentally incoherent? It took a lot of guts for the OP just to put his thoughts up; it is too much to ask that they make sense too!

I meant grammatical coherence :D
 
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It's locked now...

To the OP: A lot of what you wrote was incorrect; in particular, your formulations for ##\frac{\Delta y} {\Delta x}## and your idea that we take ##\Delta x## to ##\infty##. Please do some research before making absurd statements about calculus "being false."
 

FAQ: False Calculus: A Mathematical Paradox

1. What is False Calculus: A Mathematical Paradox?

False Calculus is a mathematical concept that involves using incorrect or contradictory equations and formulas to solve problems. It is a paradox because it leads to seemingly correct solutions, even though the process used to obtain them is flawed.

2. How does False Calculus work?

False Calculus involves manipulating equations and formulas in a way that goes against the basic principles of mathematics. For example, dividing by zero or taking the square root of a negative number are actions that are not allowed in traditional calculus. However, by using these operations, False Calculus can produce seemingly correct solutions.

3. What are some examples of False Calculus?

One example of False Calculus is the equation 1 = 2. By dividing both sides by 0, we get the equation 1/0 = 2/0, which is a false statement. However, if we multiply both sides by 0, we get 0 = 0, which is a true statement. This is an example of False Calculus leading to a seemingly correct solution.

4. Why is False Calculus considered a paradox?

False Calculus is considered a paradox because it leads to correct solutions despite using incorrect methods. It goes against the fundamental principles of mathematics and challenges our understanding of how equations and formulas should be manipulated to solve problems.

5. What is the significance of False Calculus in mathematics?

False Calculus serves as a reminder that we must always be critical and cautious when applying mathematical concepts. It also highlights the importance of understanding the underlying principles and limitations of mathematics in order to avoid making mistakes or reaching false conclusions.

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