This is an old question in Eastern philosophical systems and has been dealt with extensively by the Advaita Vedanta and Mahayana Buddhistic schools. I would suggest reading the Mandukya Upanishad with Gaudapada's Karika (Karika - commentary), Swami Nikhilananda's translation in his Volume 2 of The Upanishads is good for Westerners; Nagarjuna's ...
Great question, but not one that can be answered within the orthodox academic paradigm. There is no consensus on 'existence' or 'consciousness'. These terms are allowed to remain vague while researchers try to discover how to define them.
Generally speaking to 'exist' is to 'stand-out' or to be discernable. 'Consciousness' may be used to mean many ...
Let me start with an analogy. Say we are rummaging through drawer and find an old plastic model of a spaceship, and then we ask ourselves: "Does the spaceship this is a model of actually exist?" It's a peculiar and difficult question. On one hand, the spaceship our model points to does exist conceptually, or we would not recognize it as a model of anything. ...
It seems in this case that mathematics becomes a pure art form and
pure "mind game" and nothing more -- that is, nothing
essentially relevant to the natural sciences.
And I might further conjecture that modern mathematics,
especially pure mathematics, resulting from
an alternative cultural evolution might be
far more scientifically ...
If nothing exists, that means there has to be something so nothing can exist; e.g., if l cannot see around a corner, does that mean nothing is there even though l know it is there?
So this means that l know it is there, but l cannot prove it until l see it. So if l stand on the corner, l can see where l was and where l could go; so where is the corner?