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Pathfinder 2's Armor & A Preview of the Paladin!
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<blockquote data-quote="D1Tremere" data-source="post: 7747181" data-attributes="member: 61148"><p>You make a fair point. If I am willing to accept a definition of Objective that includes logical evidence then it is so. That said, most of the definition elements of the word objective, and all of the definition elements I must adhere to as a scientist, focus on the "of, relating to, or being an object, <a href="https://www.merriam-webster.com/dictionary/phenomenon" target="_blank">phenomenon</a>, or condition in the realm of sensible experience independent of individual thought and perceptible by all observers" aspect.</p><p>Making a subjective decision that a clause must be logically consistent does not equal evidence for an objective standard. Taking things as a priori is little better than faith unless it leads to empirical evidence. The main reason for my view is that a proposition can be shown to be true or valid via the structure of the argument without being true in reality, and this is greater with indirect proofs such as proof by contradiction. </p><p>"A problem. A serious problem. Then the proof is wrong. The proof is invalid, since the contradiction did not follow from the assumption. The whole point of a proof by contradiction is to show the assumption leads to a falsehood. This is the key; if the contradiction comes from any other source the whole proof is in trouble.</p><p>Cohn points this out, but does not have an answer on how to avoid it. Nor do I. It seems inherent in the nature of reasoning about proofs. Especially those that use proof by contradiction." -rjlipton</p></blockquote><p></p>
[QUOTE="D1Tremere, post: 7747181, member: 61148"] You make a fair point. If I am willing to accept a definition of Objective that includes logical evidence then it is so. That said, most of the definition elements of the word objective, and all of the definition elements I must adhere to as a scientist, focus on the "of, relating to, or being an object, [URL="https://www.merriam-webster.com/dictionary/phenomenon"]phenomenon[/URL], or condition in the realm of sensible experience independent of individual thought and perceptible by all observers" aspect. Making a subjective decision that a clause must be logically consistent does not equal evidence for an objective standard. Taking things as a priori is little better than faith unless it leads to empirical evidence. The main reason for my view is that a proposition can be shown to be true or valid via the structure of the argument without being true in reality, and this is greater with indirect proofs such as proof by contradiction. "A problem. A serious problem. Then the proof is wrong. The proof is invalid, since the contradiction did not follow from the assumption. The whole point of a proof by contradiction is to show the assumption leads to a falsehood. This is the key; if the contradiction comes from any other source the whole proof is in trouble. Cohn points this out, but does not have an answer on how to avoid it. Nor do I. It seems inherent in the nature of reasoning about proofs. Especially those that use proof by contradiction." -rjlipton [/QUOTE]
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