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Single Idea 18147

[from 'Philosophy of Mathematics' by David Bostock, in 6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism ]

Full Idea

The response of neo-logicists to the Julius Caesar problem is to strengthen Hume's Principle in the hope of ensuring that only numbers will satisfy it. They say the criterion of identity provided by HP is essential to number, and not to anything else.

Gist of Idea

Neo-logicists meet the Caesar problem by saying Hume's Principle is unique to number

Source

David Bostock (Philosophy of Mathematics [2009], 9.A.2)

Book Reference

Bostock,David: 'Philosophy of Mathematics: An Introduction' [Wiley-Blackwell 2009], p.272


Related Ideas

Idea 18145 Many things will satisfy Hume's Principle, so there are many interpretations of it [Bostock]

Idea 9046 Our definition will not tell us whether or not Julius Caesar is a number [Frege]