Final answer:
Descartes does not conclude that there is no way out of skepticism; instead, he uses skepticism as a tool to find undeniable truths and rebuild knowledge.
Step-by-step explanation:
The claim that Descartes concludes that there is no way out of his deep skepticism is false. While Descartes begins his philosophical journey with skeptical doubts—most notably, the possibility that an evil demon could be deceiving him—he eventually finds a foundational truth that survives even the most radical skepticism: 'Cogito, ergo sum' (I think, therefore I am). This realization allows him to establish a basis for certainty and subsequently to rebuild his system of knowledge, including the existence of God and the material world. It is important to note that Descartes's method involves doubting as a means to find indubitable truths, not as an end in itself.
Philosophical skepticism argues that certain knowledge is impossible, and many classical and modern philosophers have confronted this challenge. Moore, Leibniz, and Putnam, among others, provided notable responses. In the end, Descartes's philosophy involves moving beyond skepticism to establish a system of knowledge that can withstand doubt.