Assertion: conclusion's premise | /r/HasProperty | true
Facets:
value: obviously
type: DEGREE
value: under a given interpretation
type: OTHER
Source sentences:
text: However, if the premises are true, then the conclusion is also true, as a matter of logic."​​
text: You can use the concept of the premise in countless areas, so long as each premise is true and relevant to the topic.
text: If one assumes the premises to be true (ignoring their actual truth values), would the conclusion follow with certainty?
text: If we assume the premises are true, the conclusion follows necessarily, and thus it is a valid argument.
text: the premises to be true (ignoring their actual truth values), would the conclusion follow with certainty?
text: If we assume the premises are true, the conclusion follows necessarily, and thus it is a valid argument.
text: If a deductive argument is valid and its premises are all true, then it is also referred to as sound.
text: If all the premises of a valid deductive argument are true, then its conclusion must be true.
text: In other words, it is impossible for the conclusion to be false if all the premises are true.
text: In other words, the truth of the conclusion is a logical consequence of the premises—if the premises are true, then the conclusion must be true.
text: This can be done by giving a counter example of the same form of argument with premises that are true under a given interpretation, but a conclusion that is false under that interpretation.
text: The conclusion of a valid argument is not necessarily true, it depends on whether the premises are true.
text: : Valid argument; if the premises are true the conclusion must be true.
text: : Valid argument; if the premises are true the conclusion must be true.
text: (This does not mean the conclusion has to be true; it is only true if the premises are true, which they may not be!)
text: (This does not mean the conclusion has to be true; it is only true if the premises are true, which they may not be!)
text: Invalid argument, as it is possible that the premises be true and the conclusion false.
text: An inductive argument is said to be cogent if and only if the truth of the argument's premises would render the truth of the conclusion probable (i.e., the argument is strong), and the argument's premises are, in fact, true.
text: In deductive reasoning, an argument is "valid" when, assuming the argument's premises are true, the conclusion must be true.
text: If the argument is valid and the premises are true, then the argument is "sound".
text: Instead, an argument is "strong" when, assuming the argument's premises are true, the conclusion is probably true.
text: If the argument is strong and the premises are true, then the argument is "cogent".
text: That is, the conclusion must be true if the premises are true.
text: If all premises are true, the terms are clear, and the rules of deductive logic are followed, then the conclusion reached is necessarily true.
text: In other words, the conclusion must be true if the premises are true.
text: An argument is “sound” if it is valid and the premises are true.
text: The example's first premise is false – there are people who eat carrots who are not quarterbacks – but the conclusion would necessarily be true, if the premises were true.
text: In other words, it is impossible for the premises to be true and the conclusion false.
text: In cases of inductive reasoning, even though the premises are true and the argument is “valid”, it is possible for the conclusion to be false (determined to be false with a counterexample or other means).
text: It is not concerned with whether the premises are true or whether the argument is strong or valid, i.e., whether the premises actually support the conclusion as the author intends them to do.
text: Once we have taken apart such an argument and laid its structure out so that we can clearly see it, we can ask whether the premises are true and whether they really provide (probable or necessary) support for the intermediate or final conclusions.
text: (By "hypothetical argument" I mean an argument one of whose premises is "supposed" or hypothesized so as to see what would have to be true, or would likely be true, if it were true.)
text: The individual components of a circular argument can be logically valid because if the premises are true, the conclusion must be true, and does not lack relevance.
text: In deduction, the validity of an argument is determined solely by its logical form, not its content, whereas the soundness requires both validity and that all the given premises are actually true.
text: Also, if the argument's conclusion doesn't follow from its premises, then we don't have to accept its conclusion in that case, either, even if the premises are obviously true.