Final answer:
To start an indirect proof, one assumes the opposite of the intended conclusion and uses logical deductions to show that this assumption leads to a contradiction. This process indirectly proves the original statement as true.
Step-by-step explanation:
To start an indirect proof of the given statements, one would assume the opposite of what is trying to be proved and show that this assumption leads to a contradiction. This technique is often used in demonstrating theories or propositions within the realm of philosophy, as well as mathematics and logic.
In the context of the provided paragraphs, if we are to start an indirect proof, we would assume a proposition P to be false and deduce logically to uncover inconsistency within the arguments or established facts. We are trying to demonstrate, by assuming the conclusion false, any impossibility or contradiction with the known facts or logical deductions, which would indirectly prove our original proposition to be true.
An example of an if-then statement resulting from the paragraphs would be:
- If deductive inferences guarantee truth through structured arguments,
- And a purported deductive inference does not lead to a true conclusion,
- Then the structure of that argument must be flawed or the premises untrue.
The complete question is: Write the assumtion you would make to start an indirect proof of the following statements is: