Those principles, it seems to me, at their most basic are abstracted from reflecting on an analyzing our experiences — Janus
Well sure; that’s so easy to say, when there is already so much mathematically-inclined experience. We’ve all been exposed to number systems since a very early age. It doesn’t take long to learn that counting to 7, then continuing the count by another 5, gets you to a total of 12. From there, you easily see those two counts can never ever get you to any other number but 12.
I submit that it is from the most basic reflection and analysis of our counting experiences, that only the philosophically-inclined appreciate the apodeictic certainty, that it is impossible to arrive at 12 when all you have is a 7 and a 5. There is nothing at all contained in a 7, nor in a 5, which further authorizes you to do anything at all. From which it follows, even with experience of the existent numbers themselves being given, that whatever principle there may be regulating the use of that experience, is not contained in it. Hence the claim that while experience itself is conditioned by such principles, experience is not the condition from which they are given.
Might be easier this way: how many attempts, given only two straight lines, would it take to experience an enclosed space?
Now, before you laugh…..or maybe before you laugh any harder…..ever wonder how the very first ever farmer recognized, rather than have his sons stand guard all night, that to keep the indigenous fauna out of his wintertime food-stocks, it was necessarily required of him that he enclose such area, which he immediately and unquestionably realized to be impossible except under one and only one condition. In other words, he did NOT need the experience of destroyed crops, nor, insofar as he was the first ever, did he need the experience of other existent enclosed spaces, to know with apodeictic certainty, not so much how many lines do enclose a space, but how many do not.
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How ‘bout this: as soon as you imagine a triangle, that is, construct a three-sided figure in your head, so to speak, you’ve destroyed the very idea of a triangle in general.
There are things a human just knows, merely for being human. At this level, knowledge indicates that of which the negation is a contradiction.
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So, I don't see reason as a disembodied thing that can stand alone. — Janus
I rather think reason is certainly not a thing, and I think reason as certainly being disembodied, insofar as there is no place in any possible body in which reason as such is to be found. Nor any other abstract theoretically-constructed intellectual faculty.
Still, even granting to it greater import, does not mean reason stands alone. Reason is part of a system, after all, however speculative that may be. While it may do things of such greater import by itself because of what it is thought to be and thereby the powers thought as belonging to it, its importance is only manifest in relation to something else.
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Granting there are things a human just knows merely because he’s human, neglecting, or even in spite of, natural instinct…..how do we talk about it?