The Lemma Concerning Zero presupposes logicism's reduction of 'number' to extensions of concepts, which Russell's paradox showed to be formally inconsistent in Frege's original system.

?Rate how convincing each reason is below to see the overall strength.

No one has weighed in yet. Be the first to share reasons for or against this statement.

Bertrand Russell: Bertrand Russell was a British philosopher, logician, and social activist (1872-1970) who became famous for trying to show that mathematics could be built from pure logic, and for his clear, witty writing that made complex ideas accessible to everyday readers. He also became a public intellectual who spoke out on major issues like nuclear weapons, religion, and social justice, earning the Nobel Prize in Literature in 1950. Today, he's remembered as one of the most important thinkers of the 20th century who believed philosophy should tackle real-world problems, not just abstract puzzles.
Formally inconsistent(describing the relationship between FUNC and the theorem's conclusions): Logically contradictory or self-contradictory according to mathematical rules—like trying to prove something is both true and false at the same time.
Gottlob Frege(historical philosopher): A late 19th and early 20th-century German philosopher and logician who made fundamental contributions to understanding how language and meaning work.
Russell's paradox(Independently discovered by Zermelo and Russell)

Based on where you are in your exploration