An axiom is something that seems to be self-evidently true. It cannot be questioned or argued against. The simplest example of this is the logical law of identity, that A is A. This also implies that Non-A is Non-A, and A is not Non-A. To even try to argue against the law of identity one would have to rely on it. To illustrate, if you try to say that an orange is an apple, the very process of making the arguments requires the apple to be itself and the orange to be itself, and for them not to be identical. This of course must be objective and remain constant in any situation.
I believe that “I exist” is just as axiomatic as the laws of logic. Even the simple thought of “I” requires the self to already exist, because there is self-realization. Any thought or any realization must get processed through this self first, tainting absolutely everything. Any internal or external information that one has goes through the self. Like the law of identity, it is impossible to argue against the self, because then who would be doing the arguing? If you try to say “I do not exist”, then “I” becomes meaningless and it all falls apart, similar to the issue of saying “there is absolutely no absolute truth”. Even our understanding of the world around us relies on relationships to the self. You are reading these words, you are comparing it to other knowledge, bringing up prior situations, abstractly pondering the problem. While Hard Solipsism or Brain in a Vat may not be worth much in practical life, but almost everyone agrees that there is no “solution” to these problems. Notices that even then, however, the self is realized to axiomatically exist. Further, even if the self is some sort of illusion or larger picture, it still exists to “you”, from “your” perspective. You exist, despite the fact that it may be some sort of illusion.
It is further interesting to mix the law of logic and this axiomatic self. With the Self comes the Non-Self, as required by the law of identity. In fact, this may be the solution to solipsism itself, because for the Self to exist, the Non-Self has to exist as well, meaning there is more that exists than simply your own mind, as posited by solipsism. This, of course, doesn’t address BiaV. There are also other matters to discuss, such as whether there is just the Self and Non-Self, or if both arise from something else, though this is beyond arguing the self as an axiom.
TLDR – “I exist” is axiomatic.
I believe that “I exist” is just as axiomatic as the laws of logic. Even the simple thought of “I” requires the self to already exist, because there is self-realization. Any thought or any realization must get processed through this self first, tainting absolutely everything. Any internal or external information that one has goes through the self. Like the law of identity, it is impossible to argue against the self, because then who would be doing the arguing? If you try to say “I do not exist”, then “I” becomes meaningless and it all falls apart, similar to the issue of saying “there is absolutely no absolute truth”. Even our understanding of the world around us relies on relationships to the self. You are reading these words, you are comparing it to other knowledge, bringing up prior situations, abstractly pondering the problem. While Hard Solipsism or Brain in a Vat may not be worth much in practical life, but almost everyone agrees that there is no “solution” to these problems. Notices that even then, however, the self is realized to axiomatically exist. Further, even if the self is some sort of illusion or larger picture, it still exists to “you”, from “your” perspective. You exist, despite the fact that it may be some sort of illusion.
It is further interesting to mix the law of logic and this axiomatic self. With the Self comes the Non-Self, as required by the law of identity. In fact, this may be the solution to solipsism itself, because for the Self to exist, the Non-Self has to exist as well, meaning there is more that exists than simply your own mind, as posited by solipsism. This, of course, doesn’t address BiaV. There are also other matters to discuss, such as whether there is just the Self and Non-Self, or if both arise from something else, though this is beyond arguing the self as an axiom.
TLDR – “I exist” is axiomatic.