- #71
quantumdude
Staff Emeritus
Science Advisor
Gold Member
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Getting back to the topic...
If truths about reality are destinations, then deductive reasoning is the car that gets you from one to the other. The initial post of the thread boils down to: How far can that car get us?
Is there some limit to the understanding that logic alone can provide? I have answered that question emphatically in the affirmative, on the following grounds:
We have two kinds of logic: deductive and inductive.
The former is concerned with arguments whose premises give absolute support to their conclusions. The problem is that it gives no decision procedure for determining the truth or falsity of propositions with absolute certainty (actually, it's damn near completely silent on the issue).
The latter is concerned with arguments whose premises give probable support to their conclusions. The advantage is that this logic does indeed either lend support to, or outright falsifies, the conclusions that are brought under its analysis.
Since those are the only two kinds of logic at our disposal, I state that absolute truths about reality (known absolutely!) are beyond the capacity of human logic.
If truths about reality are destinations, then deductive reasoning is the car that gets you from one to the other. The initial post of the thread boils down to: How far can that car get us?
Is there some limit to the understanding that logic alone can provide? I have answered that question emphatically in the affirmative, on the following grounds:
We have two kinds of logic: deductive and inductive.
The former is concerned with arguments whose premises give absolute support to their conclusions. The problem is that it gives no decision procedure for determining the truth or falsity of propositions with absolute certainty (actually, it's damn near completely silent on the issue).
The latter is concerned with arguments whose premises give probable support to their conclusions. The advantage is that this logic does indeed either lend support to, or outright falsifies, the conclusions that are brought under its analysis.
Since those are the only two kinds of logic at our disposal, I state that absolute truths about reality (known absolutely!) are beyond the capacity of human logic.