Posted by - James Barton -
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-Filed in - Mathematics -
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Beliefs are somewhat hierarchical in that slight errors in very abstract concepts can be the crooked foundation for more concrete everyday beliefs.
Although most people like to think they are rational there are often personal blind spots and inner biases.
It can be hard to convince people of certain truths when those truths seem to be contradicting more abstract semi-conscious beliefs.
So to help align people towards truth I put an initial focus on the transcendental nature of mathematical truths.
Once understood this then becomes a sound foundation for later stages.
The infinite number of mathematical truths was not created by any god, big bang or human mind. Such truths cannot be any other way and are intrinsic to Reality.
Some people confuse our mathematical conceptual language 'maps' with the pre-existing mathematical 'territory'.
Mathematical and geometric truths such as that there can only be 5 platonic solids etc determine how atoms can be arranged in space for example and was clearly true before humans.
Mathematical truths have no substance so we cannot simply say they exist. On the other hand they can be discovered and order reality and so we cannot simply say they do not exist. The mathematical truths transcend the categories of both existence and non-existence.
They were not created and have always been true and always will be. They are true at all times and are changeless. Thus they transcend time.
They are true everywhere and nowhere. Thus they transcend space.
How do you see the nature of mathematical truths?