As a young believer, I was exposed to Biblical Presuppositionalism very early through the works of Van Til and Bahnsen. Guess what? It's a featured article in Wikipedia!

I love this quote especially the part - "about foundational principles in which the non-Christian's worldview is shown to be incoherent in and of itself and intelligible only because it borrows capital from the Christian worldview":

"According to Frame, "[Van Til's] major complaints against competing apologetic methods are theological complaints, that is, that they compromise the incomprehensibility of God, total depravity, the clarity of natural revelation, God's comprehensive control over creation, and so on."6 Within their presuppositionalist framework, Van Tillians do often utilize foundational concepts for Thomistic and Evidentialist arguments (belief in the uniformity of natural causes, for example), but they are unwilling to grant that such beliefs are justifiable on "natural" (neutral) grounds. Rather, Van Tillians employ these beliefs, which they justify on Biblical grounds, in the service of transcendental arguments, which are a sort of meta-argument about foundational principles in which the non-Christian's worldview is shown to be incoherent in and of itself and intelligible only because it borrows capital from the Christian worldview. Van Til summarized the transcendental method thus:

"(T)he only proof for the existence of God is that without God you couldn't prove anything."

An example of this form of argumentation is found in the transcendental argument for the existence of God.