Descartes and Russell

Posted: Wed, Oct 8, 2025

Three levels of Cartesian doubt

What can I be certain of?

Level of doubt Reason for doubt Scope of doubt
1st The senses sometimes deceive us. I can’t be certain of beliefs acquired through senses.
2nd Being awake and being asleep are indistinguishable. I can’t be certain of pretty much anything other than mathematical truths.
3rd I could be deceived by an evil demon. Can I be certain of anything?

Descartes:

I will suppose . . . some malicious demon of the utmost power and cunning has employed all his energies in order to deceive me. I shall think that the sky, the air, the earth, colours, shapes, sounds and all external things are merely the delusions of dreams which he has devised to ensnare my judgement. I shall consider myself as not having hands or eyes, or flesh, or blood or senses, but as falsely believing that I have all these things. (AT 23)

This is a skeptical scenario where appearance (how things seem to be) comes apart from reality (how things in fact are).

  • Is there any good basis for believing that we do not live in a skeptical scenario?
  • Descartes: Cogito, ergo sum; I think, therefore I am.

Russell’s strategy: Inference to the best explanation (IBE)

Russell: IBE offers us good reason for believing, even if it does not prove, that we are not in a skeptical scenario.

Observations: It hasn’t rained; the grass is wet.

  • Hypothesis I: It rained.
  • Hypothesis II: The sprinklers came on.
  • Hypothesis III: Grass does not get wet on its own without being rained on except at BC where laws of nature do not apply.
  • Hypothesis IV: Aliens visited BC to play water pistols.

Some theoretical virtues:

  • Explanatory power: How well does the hypothesis render the observations predictable/expectable?
  • Parsimony: How many principles and entities does the hypothesis postulate in order to do this? (“Ockham’s razor”)
  • Consistency: How well does the hypothesis avoid contradicting itself?
  • Unity: How well does the hypothesis avoid ad hoc elements that don’t integrate into a whole?
  • Conservatism: How well does the hypothesis cohere with already-established theories?

Observations: There appear to be tables, chairs, …

  • Real-world hypothesis: There are tables, chairs, …
  • Skeptical hypothesis: Say, the Matrix.

Russell: The real-world hypothesis should be preferred because it is more “simple” or less elaborate.

  • Is it?