The cogito: what it blocks and what it proves
A self-certifying claim, and the leap from thinking to a thinking thing.
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Self-certification
The demon can make me wrong about anything except that I exist — to be deceived there must first be a me to deceive. What is special about such a claim is not how certain it is but the way it holds: the act of doubting it makes it true. That is the exact place of the cogito in the argument — it is not the least doubtful belief but the only one that underwrites itself.
The leap from activity to substance
Descartes then says 'I am a thing that thinks'. That sentence contains one item more than the previous one: a substance bearing the thinking. Hobbes points out in the Third Objections that the leap is unargued — 'I am walking' yields no walking substance. This course separates the step out because the whole second half of the book, substance dualism, rests on it: if the leap fails, the mind–body distinction of the Sixth Meditation loses its starting point.
How the cogito holds, and where it stops
What is being reconstructed is the step in the Second Meditation, separating what it commits to from what it does not.
The difference is in one word
Cracks in this reading
The 'leap from activity to substance' reading as a testable specification
The reading under test: in the Second Meditation Descartes gives no independent argument for the substantialising leap but applies his existing doctrine of substance.