Full Idea
Wittgenstein didn't just have an arguments against logicism; he hated logicism, and described is as a cancerous growth.
Gist of Idea
Wittgenstein hated logicism, and described it as a cancerous growth
Source
report of Ludwig Wittgenstein (Tractatus Logico-Philosophicus [1921]) by Ray Monk - Interview with Baggini and Stangroom p.12
Book Reference
Baggini,J/Stangroom,J: 'New British Philosophy' [Routledge 2002], p.12
A Reaction
This appears to have been part of an inexplicable personal antipathy towards Russell. Wittgenstein appears to have developed a dislike of all reductionist ideas in philosophy.