Sculptor1 wrote: ↑November 20th, 2021, 11:36 am Logic and maths too are self justifying and circular.
They are tools which help us describe and quantify the world and they have their limits.
It would be a mistake, and many make this mistake, to think that they provide direct insights into reality, as if the world was written in maths. That is not the case. What they seem to do very well is describe it, and in so far as these descriptions are coherent can lead to remarkable findings, which can be verified empirically.
But there is a further question. Although they are tools it is evident that they work consistently well. Why should this be so? This is the most remarkable indication that there is a reality beyond our mere perception of it and that this reality (however we might want to see it) is COHERENT. The universe is not capricious; not just ideas; it lies waiting to be discovered.
In his round about and clumsy way that is what Kant meant when he talked about "pure understanding".
But before we throw away the baby of idealism in favour of pure rationalism, we should always acknowledge that whatever we are givine innately is still based on an evolved understanding os such things as space and time, the warning that we can never fully know the thing-in-itself leaves room for finding for conceiving things beyond out normal experience.
Richard P Feynman wrote:If we will only allow that, as we progress, we remain unsure, we will leave opportunities for alternatives. We will not become enthusiastic for the fact, the knowledge, the absolute truth of the day, but remain always uncertain … In order to make progress, one must leave the door to the unknown ajar.
"Who cares, wins"