Project Sherlock

Philosophy · Logic

Paradoxes

A topic within Logic, itself one of 10 topics in that field and part of Philosophy.

Reading on Paradoxes

2

2 works

Paper1895

What the Tortoise Said to Achilles

Lewis Carroll

A regress argument: accepting a valid inference's premises never logically forces accepting its conclusion, because the license to draw the inference can always be demanded as a further premise.

3 pageslink checked 17 Sept 2026
Book1903

The Principles of Mathematics

Bertrand Russell

Argues mathematics is reducible to logic, and in the process publishes the paradox of the set of all sets that do not contain themselves, which threatened to undo the reduction from within.

link failing as of 17 Sept 2026

Other topics in Logic