Lets do this.
1. Agrippa's Trilemma
One of the best known problems in all of philosophy. There's a lot of theory behind it, so I'll post a link at the bottom for those who want more details. Here's the summary.
Every belief requires a justification to make it sound. Each justification for that belief is also a belief which needs another belief under that one and so an and so forth.
This is known as the infinite regress. The Trilemma shows that there are only three ways to justify beliefs in the grand scheme of things.
A) Infinite Regress.
B) Circular Reasoning.
C) Axioms.
Each of these methods have fields of study behind them with their own benefits and critiques. The infinite regress is the one with the most problems because it appears to have no foundation. In fact, the point of the Trilemma is to show how to stop the infinite regress, but some philosophers on the fringes believe that the infinite regress is okay and instead approach things pragmatically.
In fact, most people who don't study philosophy intuitively opt for option C. Option B also has it's supporters as well. In fact, both of these methods can be successful when applied properly.
Option B has the problem with it's ultimate justification. Because the First point is justified by the last point, there is no foundation. However, if even one point on the circle has a foundation, then the circle is justified. But what is the foundation of the circle.
This leads us back to Option C. Foundationalism. There are many version of this philosophy and the task at hand is to find justification for the axioms.
One way is to presuppose them. Even within this method, are varying approaches. One way is to have properly basic beliefs, that is to say that one takes the least amount of axioms that is necessary to support their worldview.
But doesn't this just seem like picking and choosing? In most cases, it is. In fact, if one does not have a method by which to choose their axioms, they are essentially creating a subjective world view which has a chance to be horribly wrong and no true justification.
So it is clear, that we need a standard beyond properly basic beliefs because the definition of "properly basic" depends on the views that one wants justified. Instead we need to start with the axioms themselves and let them judge what will ultimately qualify as properly basic. We need a from the ground up approach.
which brings us to.
2. Self evidence.
This is the proper standard for our beliefs. We already know that after looking at Premise 1 that Option A is not justifiable and Option B is contingent Upon Option C. Since we know an axiom is required, we know that we cannot place another belief under it. This means that instead of a belief, we need something that is apart from our opinions, an objective standard.
I believe that self evidence is this standard. But what makes something self evident?
There are 2 requirements.
A) The act of proving it is redundant.
B) The contrary is impossible.
If only A is true, then it is a tautology and is true assuming the premises are sound, but does not apply to reality and therefore is only a hypothetical truth.
If only B is true, then the proposition is not a tautology but rather a contingency and is only true if it's contingency is true. Such a thing cannot serve as an axiom because the contingency would become the new axiom and would need it's own justification.
If A and B are true. The we have something that is self evident. This is because it applies to reality because of B but proves itself redundantly because of A. This means that no belief is required to prove it. This means that one could deny something that was self evident and the very act of denying it would be a contradiction. (for example. To say an apple is not and apple would be a contradiction because something being and apple is self evident because it presents in reality and the word apple is a tautology.)
If A and B are false. Then the proposition is a hypothetical contingency and could be true if the contingency is true but does not apply to the real world.
To clarify, when I say hypothetical. I don't mean It can't be proven or it can never happen. I mean that it could be true if it manifested in reality that way, but at the moment it is not.
3. There is no alternative.
I am not saying there is no alternative yet. I'm saying that when we get down to it. Axioms are necessary and so is justification. Because justification cannot be subjective, it has to be internal or external. External justification cannot be axiomatic, therefore it has to be internal and self evidence is the only form of internal justification.
Conclusion: Self evidence is the proper foundation for one's epistemology.
I will leave you with a quote from Wikipedia about using self evidence for both analytic and non analytic propositions. That link will be at the bottom as well.
It is sometimes said that a self-evident proposition is one whose denial is self-contradictory. It is also sometimes said that an
analytic proposition is one whose denial is self-contradictory. But the concepts mean different things.[
further explanation needed]
Provided that one understands and believes a self-evident proposition, self-evident propositions are not in need of proof. Likewise, that their denial is self-contradictory does not have to be proven. It is in this sense that the self-contradictions at work in self-evident and analytic propositions are different.
Not all analytic propositions are self-evident, and it is sometimes claimed that not all self-evident propositions are analytic: e.g. my knowledge that I am conscious.
Thank you and now on to my opponent's opening statement. Good luck.
last round concession
Pro can't even MEAN self-evident truths since
Mean, not me*