Is the included derivation feasible? If so, would my proof be correct?


Is derivation the same as proof?

Mathematically, Proof is any derivation that validates a Theorem. And Derivation is a mathematical procedure which is performed on the basis of axioms and other known theorems.

What makes a proof correct?

Informally, your proof will be valid and complete as long as each step is a valid logical step from the previous one (starting with the givens, of course), and there is no “fuzziness” about why something is happening, or how you get from one step to the next.

What are the 3 types of proofs?

Two-column, paragraph, and flowchart proofs are three of the most common geometric proofs. They each offer different ways of organizing reasons and statements so that each proof can be easily explained.

How do you prove a proof by contradiction?

The steps taken for a proof by contradiction (also called indirect proof) are:

  1. Assume the opposite of your conclusion. …
  2. Use the assumption to derive new consequences until one is the opposite of your premise. …
  3. Conclude that the assumption must be false and that its opposite (your original conclusion) must be true.
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How do you derive proofs?

Quote from the video:
Youtube quote: And recall the product rule says that the derivative with respect to X of the product of two functions f of X times G of X that's going to be f of X times G prime of X plus F prime of X times G of X.

What does derivation mean in physics?

Derivation means the action of obtaining something from a source or origin. Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon.

Are proofs by contradiction valid?

Proof by contradiction, as I have understood, is valid. yes, it is a valid line of logical reasoning and therefore applicable to all sciences.

What is proof deduction?

It follows that proof by deduction is the demonstration that something is true by showing that it must be true for all instances that could possibly be considered. Hence, it is not sufficient to check that a statement is true for a few example numbers – this is a mistake that is often made.

What do we formally prove in proof by contradiction and proof by contra positive techniques?

In logic and mathematics, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition, by showing that assuming the proposition to be false leads to a contradiction.

What is the method of proof by contradiction Why does this proof method work when would we use this method to prove a statement?

Another method of proof that is frequently used in mathematics is a proof by contradiction. This method is based on the fact that a statement X can only be true or false (and not both). The idea is to prove that the statement X is true by showing that it cannot be false.

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Why does proof by contradiction work?

It’s because a statement can only ever be true or false, there’s nothing in between. The idea behind proof of contradiction is that you basically prove that a hypothesis “cannot be untrue”. I.e., you prove that if the hypothesis is false, then 1=0.