Infinitatis
Active Member
There are different tiers of knowledge. Tiers explain their preceding tiers. Tiers create a deeper understanding of something, A, in a transitive-property-like fashion. (A=B, B=C, C=D, therefore A=D.)
Does our understanding ever reach a point where we need not ask "why" any further? Does there come a point in which a reason is truly axiomatic?
The first tier is the most superficial and basic understanding of a concept. E.g., an object maintains a constant velocity unless acted upon by a force because an object maintains a constant velocity unless acted upon by a force (A=A). As tautological justifications, such as this, are not typically very useful for understanding, a deeper understanding is sought.
The second tier would explain the first tier. E.g., an object maintains a constant velocity unless acted upon by a force because objects have inertia (A=B). This is still not a complete understanding, however, and so the third tier is introduced.
The third tier explains the second tier. E.g., objects have inertia because... well, we don't really know.
So we just aren't smart enough yet, right? Perhaps this is not the case. Perhaps, we can't really know. Perhaps there is no fourth tier to this string of understanding. There are many things that we can still add underlying tiers to, but can all of these questions be answered? Just because the question exists, must the answer? If the answer does not exist, the knowledge does not exist, which thus renders knowledge finite.
Or perhaps knowledge is finite because we can know certain things and transfer that same knowledge in infinitely many ways, without having to gain new knowledge. E.g., I know how to put on a jacket because I know how to put on a sweater.
Thoughts?
Does our understanding ever reach a point where we need not ask "why" any further? Does there come a point in which a reason is truly axiomatic?
The first tier is the most superficial and basic understanding of a concept. E.g., an object maintains a constant velocity unless acted upon by a force because an object maintains a constant velocity unless acted upon by a force (A=A). As tautological justifications, such as this, are not typically very useful for understanding, a deeper understanding is sought.
The second tier would explain the first tier. E.g., an object maintains a constant velocity unless acted upon by a force because objects have inertia (A=B). This is still not a complete understanding, however, and so the third tier is introduced.
The third tier explains the second tier. E.g., objects have inertia because... well, we don't really know.
So we just aren't smart enough yet, right? Perhaps this is not the case. Perhaps, we can't really know. Perhaps there is no fourth tier to this string of understanding. There are many things that we can still add underlying tiers to, but can all of these questions be answered? Just because the question exists, must the answer? If the answer does not exist, the knowledge does not exist, which thus renders knowledge finite.
Or perhaps knowledge is finite because we can know certain things and transfer that same knowledge in infinitely many ways, without having to gain new knowledge. E.g., I know how to put on a jacket because I know how to put on a sweater.
Thoughts?