15. A __ is an application of deductive reasoning such that the reasoning is logically correct and undeniably true. valid argument proof conjunction conclusion

## Step 1<br />The problem is asking us to identify the term that best describes an application of deductive reasoning where the reasoning is logically correct and undeniably true. Deductive reasoning is a logical process where a conclusion is based on the agreement between multiple premises that are assumed to be true.<br /><br />## Step 2<br />Let's analyze each option:<br />- A valid argument is a logical argument where if the premises are true, the conclusion must be true. This aligns with the definition of deductive reasoning.<br />- A proof is a statement of fact or argument that has been established to be true. While a proof can involve deductive reasoning, it is not the application of deductive reasoning itself.<br />- A conjunction is a compound statement formed by combining two statements using the word 'and'. This does not necessarily involve deductive reasoning.<br />- A conclusion is the result of reasoning or decision-making. While a conclusion can be the result of deductive reasoning, it is not the application of deductive reasoning itself.<br /><br />## Step 3<br />Based on the above analysis, the term that best fits the description of an application of deductive reasoning where the reasoning is logically correct and undeniably true is a valid argument.