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Russell's Lonely Childhood
- Bertrand Russell had a lonely childhood raised by his puritan grandmother after losing his parents early.
- His brother introduced him to mathematics and Euclidean geometry, sparking his early intellectual development.
Russell’s Shift from Idealism to Realism
- Russell was puzzled by the need to accept axioms in geometry without proof and sought certainty.
- He moved from British idealism to a realist view that the world exists independently of the mind.
Numbers Defined as Classes
- Russell identified numbers with classes (sets) and aimed to define arithmetic purely logically.
- This let him prove arithmetic truths, like 1+1=2, from logical principles alone.